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Bernstein Eigenvarieties
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作者 Christophe Breuil Yiwen Ding 《Peking Mathematical Journal》 CSCD 2024年第2期471-642,共172页
We construct parabolic analogues of(global)eigenvarieties,of patched eigenvarieties and of(local)trianguline varieties,that we call,respectively,Bernstein eigenvarieties,patched Bernstein eigenvarieties,and Bernstein ... We construct parabolic analogues of(global)eigenvarieties,of patched eigenvarieties and of(local)trianguline varieties,that we call,respectively,Bernstein eigenvarieties,patched Bernstein eigenvarieties,and Bernstein paraboline varieties.We study the geometry of these rigid analytic spaces,in particular(generalising results of Breuil-Hellmann-Schraen)we show that their local geometry can be described by certain algebraic schemes related to the generalised Grothendieck-Springer resolution.We deduce several local-global compatibility results,including a classicality result(with no trianguline assumption at p),and new cases towards the locally analytic socle conjecture of Breuil in the non-trianguline case. 展开更多
关键词 Galois representation Automorphic representation Eigenvariety Parabolic group Companion constituent Bernstein center
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MATRICES OVER A REDUCED RING AS SUMS OF THREE TRIPOTENTS
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作者 HUANG Tao CUI Jian ZENG Yue-di 《数学杂志》 2024年第5期406-412,共7页
In this paper,we study reduced rings in which every element is a sum of three tripotents that commute,and determine the integral domains over which every n£n matrix is a sum of three tripotents.It is proved that ... In this paper,we study reduced rings in which every element is a sum of three tripotents that commute,and determine the integral domains over which every n£n matrix is a sum of three tripotents.It is proved that for an integral domain R,every matrix in M_(n)(R)is a sum of three tripotents if and only if R■Zp with p=2,3,5 or 7. 展开更多
关键词 Tripotent companion matrix reduced ring matrix ring
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Dehydrated Natural Feed for Cats: Influence on Apparent Digestibility Coefficient, Feces Scores, and Serum Immune, Antioxidant, and Metabolic Biomarkers
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作者 Bruno Giorgio de Oliveira Cécere Guilherme Luiz Deolindo +8 位作者 Bianca F. Bissacotti Priscila Marquezin Copetti Maria Rosa Chitolina Schetinger Bruna Klein Matheus Delamea Baldissera Thiago Pereira Ribeiro Walter Hugo Cuelho Suarez Daniel Pigatto Monteiro Aleksandro Schafer Da Silva 《Food and Nutrition Sciences》 CAS 2024年第7期594-611,共18页
The present study aimed to determine whether natural dehydrated feed (DNF) can replace dry extruded feed while preserving the required daily intake, nutrient digestibility and benefits for immunity and antioxidant res... The present study aimed to determine whether natural dehydrated feed (DNF) can replace dry extruded feed while preserving the required daily intake, nutrient digestibility and benefits for immunity and antioxidant response in cats. The animals were divided into two groups of seven animals each. One group received DNF, and the other consumed commercial extruded dry feed (DCF). The experiment lasted 45 days and we measured daily consumption and collected blood and feces samples. The animals in the DNF group showed greater digestibility of fiber and mineral matter than DCF. Cats in the DNF group had a higher volume of feces. DNF cats had lower leukocyte and granulocyte counts and cholesterol levels. Serum enzymatic antioxidant responses and non-enzymatic were higher in DNF cats. Cats in the DNF group showed lower serum acute phase proteins in addition to a tendency toward a higher concentration of transferrin than in the DCF group. Fecal Escherichia coli and total coliform counts of cats fed DNF were higher than DCF. We conclude that the daily consumption of cats is adequate. This feed had greater digestibility of fiber and mineral matter, in addition to an improvement in antioxidant and immunological responses. 展开更多
关键词 Alternative Feed ANTIOXIDANT Companion Animals Health
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Medical imaging-based companion diagnostics for solid tumors
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作者 Rui Yin Qingpeng Zhang +4 位作者 Shiyi Liao Chang Lu Cheng Zhang Qingyun Cai Guosheng Song 《EngMedicine》 2024年第1期70-86,共17页
Heterogeneity within the solid tumor microenvironment contributes to a poor prognosis and limited therapeutic responses.Companion diagnostics(CDx),a clinical technique that gives doctors vital biomarker information to... Heterogeneity within the solid tumor microenvironment contributes to a poor prognosis and limited therapeutic responses.Companion diagnostics(CDx),a clinical technique that gives doctors vital biomarker information to enhance patient outcomes through matching specific treatments to patients,is becoming more and more important.However,most current US Food and Drug Administration(FDA)-approved CDx tests have difficulty dynamically reflecting variations in biomarkers in the solid tumor microenvironment because they are used in vitro and ex vivo.Consequently,new medical imaging-based CDx tests have been widely used to detect interpatient and intrapatient tumor heterogeneity to assess the intratumoral distribution of specific biomarkers and microenvironment variables.They provide patient stratification for targeted therapies and the differentiation of patient populations that benefit from alternative treatments.This review provides an overview of the recent advances in medical imaging-based CDx for solid tumors and summarizes the various tumor microenvironment biomarkers utilized in imaging-based CDx.We believe that this review offers additional details and directions for promoting medical imaging-based CDx development. 展开更多
关键词 IMAGING Biomarkers Companion diagnostics Solid tumors
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Discovery and Application of the Companion Fungus Related to Sclerotial Formation from Hyphae of Grifola umbellata 被引量:3
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作者 郭顺星 王秋颖 +2 位作者 庄文颖 张集慧 邢晓科 《Acta Botanica Sinica》 CSCD 2002年第10期1151-1154,共4页
The companion fungus ( Grifola sp.) related to sclerotial formation from hyphae of Grifola umbellata (Pers.) Pilat was isolated from the cavity associated with sclerotia of G. umbellata in natural condition. Experimen... The companion fungus ( Grifola sp.) related to sclerotial formation from hyphae of Grifola umbellata (Pers.) Pilat was isolated from the cavity associated with sclerotia of G. umbellata in natural condition. Experimental results showed that the pure culture of G. umbellata was unable to form sclerotia, whereas sclerotia produced easily in flasks or on trunks when the companion fungus was inoculated together with strain of G. umbellata. The companion fungus is critical for sclerotium formation from hyphae of G. umbellata. Morphological differences were found in cultures of the two fungi. The companion fungus possesses thin-walled narrow hyphae, while G. umbellata is of wider hyphae which are either thick- or thin-walled. 展开更多
关键词 Grifola umbellata companion fungus SCLEROTIA
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Application of Oats to Control the Weeds in the Seedling Period of Alfalfa Sowed in Spring 被引量:2
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作者 郭芸江 张丽 唐华 《Agricultural Science & Technology》 CAS 2011年第8期1201-1205,共5页
[Objective]The aim was to solve the weeds existed in seedling period of alfalfa in Chongqing.[Method]The naked oat and common oat were selected.Through the analysis of determiners such as plant number,plant height,yie... [Objective]The aim was to solve the weeds existed in seedling period of alfalfa in Chongqing.[Method]The naked oat and common oat were selected.Through the analysis of determiners such as plant number,plant height,yield and weeds ratio,the oat type and sowing method were screened through all the accompany sowing crops to better control weeds in the seedling period of alfalfa.[Result]Compared with common oat,the tested naked oat as the companion crop of alfalfa seeding can prevent weeds more effectively;the proper companion-seeding disposal of alfalfa sowed in spring in Chongqing area was 15 kg/hm2 of alfalfa and 120 kg/hm2 of naked oat,sowing in strip in 40 cm row spacing;the proper mowing period of oat was during the time from May 11th to May 21st;the proper mowing period of alfalfa was ten days later.[Conclusion]Spring sowing oats with alfalfa can control seedling weeds effectively. 展开更多
关键词 ALFALFA OAT Slligator alternenthera Companion crop
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Spectrin-like Protein in the Phloem of Cucumis sativus
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作者 邢立静 花宝光 娄成后 《Acta Botanica Sinica》 CSCD 2002年第4期391-394,共4页
Spectrin-like protein has been found in a variety of plant cells. In this study, electron microscopic observation of immuno-gold labelled preparations from the leaf petiole of cucumber ( Cucumis sativus L.) shows that... Spectrin-like protein has been found in a variety of plant cells. In this study, electron microscopic observation of immuno-gold labelled preparations from the leaf petiole of cucumber ( Cucumis sativus L.) shows that it also exists in the sieve element-companion cell (SE-CC) complex, being widely distributed in P-protein filaments and sieve element reticulum (SER), in the cytoplasm and mitochondrial membrane of companion cell (CC) and in the branched plasmodesmata between sieve element (SE) and CC as well. The results suggest that this protein could be synthesized in CC and transferred to SE through plasmodesmata. Western blotting showed that spectrin-like protein existed in the protein of phloem exudate of cucumber, and its molecular weight was about 260 kD. 展开更多
关键词 SPECTRIN sieve element companion cell Cucumis sativus
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Affective and Interpersonal Correlates of Relationship Satisfaction
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作者 Lara K. Ault Ashley Lee 《Journal of Philosophy Study》 2016年第3期115-130,共16页
Healthy relationships are important to functioning in daily life and across the life-span (e.g., Burman and Margolin 1992). Personality factors could predict relationship satisfaction through the influence of indivi... Healthy relationships are important to functioning in daily life and across the life-span (e.g., Burman and Margolin 1992). Personality factors could predict relationship satisfaction through the influence of individuals' relationship schemas (Fiske and Taylor 1991) and perceptions of their partners (Simpson and Rholes 1998). Given the potential importance of attachment styles to relationship mechanisms and the well-established relationship between attachment and interpersonal behavior (Bartholomew and Horowitz 1992; Hazan and Shaver 1987), interpersonal traits may influence relationship satisfaction directly. According to Leary's (1957) interpersonal reflex theory, any interpersonal act elicits responses from the other person that verify, validate, or otherwise reinforce the actor's own self-image and self-presentation, and thus increase the probability that the actor will emit similar interpersonal acts in future interactions. The Impact Message Inventory (IMI) attempts to measure individuals' perceptions of how others impact them by evoking interpersonal acts such as dominance and affiliation. This study examined the influence of perceived partner-evoked behavior and individuals' own interpersonal styles on relationship satisfaction. This study used IMI measures of evoked Dominance and Affiliation as well as revised Liking and Loving measures to predict relationship satisfaction using three different satisfaction outcome measures. The final analyses included 291 participants (134 men and 157 women) who completed a scantron survey. Partner impact, or the interpersonal behaviors, evoked from the individual during interaction, predicted relationship satisfaction well. Evoked affiliation was the most consistently strong predictor of satisfaction across all three outcome measures. Liking (distinct here from affiliation) is a stronger predictor of relationship satisfaction than is loving (distinct here from passion), and it is significant across all three outcome measures. The liking measure appears to reflect a relatively high level of reward in the relationship and intrinsic enjoyment of the partner's company without the comparative cost of loving. Future research should examine interactions between couples, moving beyond intrapsychic self-reports of perceived experiences and feelings, although these are important in their own right. 展开更多
关键词 relationship satisfaction interpersonal circumplex LIKING companionate love
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Role of human epidermal growth factor receptor 2 in gastric cancer:Biological and pharmacological aspects 被引量:11
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作者 Jan Tr?st J?rgensen 《World Journal of Gastroenterology》 SCIE CAS 2014年第16期4526-4535,共10页
Amplification of the human epidermal growth factor receptor 2 (HER2) gene and overexpression of the HER2 protein is found in 15%-20% of patients with gastric and gastroesophageal junction cancer. The degree of HER2 ov... Amplification of the human epidermal growth factor receptor 2 (HER2) gene and overexpression of the HER2 protein is found in 15%-20% of patients with gastric and gastroesophageal junction cancer. The degree of HER2 overexpression and amplification varies with the location of the carcinoma, with higher expression in the gastroesophageal and proximal parts compared to the distal parts of the stomach. Further, HER2 overexpression and amplification also seems to be related to the Lauren histological classification, with higher levels found in the intestinal phenotype compared to the diffuse and mixed types. The prognostic properties of HER2 overexpression and amplification are still under debate, but a large number of studies seem to indicate that HER2 is a negative prognostic factor. The usefulness of HER2 targeted therapy in gastric cancer was demonstrated in the ToGA trial, where HER2-positive patients with advanced gastric and gastroesophageal junction adenocarcinoma were randomized to receive 5-FU/capecitabine and cisplatin, either alone or in combination with trastuzumab. A statically significant gain in overall survival was seen in patients who received the combined treatment of trastuzumab and chemotherapy. Patients with a strong overexpression of the HER2 protein (IHC3+) specifically benefited from the treatment, with a median overall survival of 17.9 mo. As a consequence of the positive results of the ToGA trial, patients with advanced gastric or gastroesophageal junction adenocarcinoma are now routinely tested for HER2. The ToGA trial must be characterized as a landmark in the treatment of gastric cancer and it has paved the way for a number of new HER2 targeted compounds such as pertuzumab, ado-trastuzumab emtansine, lapatinib, afatinib, and dacomitinib, which are currently undergoing phase II and III clinical testing. Overall, this review will discuss the current status of HER2 in gastric and gastroesophageal junction cancer and the future direction in relation to HER2 target therapy. 展开更多
关键词 Human epidermal growth factor receptor 2 Gastric cancer Prognostic Companion diagnostics TRASTUZUMAB PERTUZUMAB Ado-trastuzumab emtansine LAPATINIB
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Companion diagnostics for the targeted therapy of gastric cancer 被引量:5
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作者 Changhoon Yoo Young Soo Park 《World Journal of Gastroenterology》 SCIE CAS 2015年第39期10948-10955,共8页
Gastric cancer is the fourth most common type ofcancer and represents a major cause of cancer-related deaths worldwide. With recent biomedical advances in our understanding of the molecular characteristics of gastric ... Gastric cancer is the fourth most common type ofcancer and represents a major cause of cancer-related deaths worldwide. With recent biomedical advances in our understanding of the molecular characteristics of gastric cancer, many genetic alterations have been identified as potential targets for its treatment. Multiple novel agents are currently under development as the demand for active agents that improve the survival of gastric cancer patients constantly increases. Based on lessons from previous trials of targeted agents, it is now widely accepted that the establishment of an optimal diagnostic test to select molecularly defined patients is of equal importance to the development of active agents against targetable genetic alterations. Herein, we highlight the current status and future perspectives of companion diagnostics in the treatment of gastric cancer. 展开更多
关键词 COMPANION DIAGNOSTICS GASTRIC CANCER HUMAN epiderm
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Effects of seven different companion plants on cucumber productivity, soil chemical characteristics and Pseudomonas community 被引量:6
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作者 CHANG Chun-ling FU Xue-peng +2 位作者 ZHOU Xin-gang GUO Mei-yu WU Feng-zhi 《Journal of Integrative Agriculture》 SCIE CAS CSCD 2017年第10期2206-2214,共9页
Companion cropping can influence cucumber productivity by altering soil chemical characteristics and microbial communities. However, how these alterations affect the growth of cucumber is still unknown. In this study,... Companion cropping can influence cucumber productivity by altering soil chemical characteristics and microbial communities. However, how these alterations affect the growth of cucumber is still unknown. In this study, seven different plant species were selected as companion plants for testing their effects on cucumber productivity. The effects of different companion plants on changes in soil chemical properties such as electrical conductivity (EC) and contents of essential nutrients as well as the structure and abundance of the soil Pseudomonas community were evaluated. The results showed a higher cucumber yield in the wheat/cucumber companion system than that in the cucumber monocultured and other companion cropping systems. The lowest phosphorus (P) and potassium (K) contents in the soil were found in the cucumber monocultured system, and the highest NO3+-N and NH4*-N contents were observed in the rye/cucumber companion system. PCR-denaturing gradient gel electrophoresis (DGGE) and real-time PCR analysis showed that the trifolium/cucumber companion system increased the diversity of the soil Pseudomonas community, while the chrysanthemum/cucumber companion system increased its abundance. Interestingly, plant-soil feedback trials revealed that inoculating the soil of the wheat/cucumber companion system increased the growth of cucumber seedlings. In conclusion, the effects of different companion plants on cucumber productivity, soil chemical characteristics and the soil Pseudomonas community were different, and wheat was a more suitable companion plant for increasing cucumber productivity. In addition, the altered microbial community caused by companion cropping with wheat contributed to increased cucumber productivity. 展开更多
关键词 CUCUMBER companion plants soil chemical characteristics Pseudomonas community
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Companion矩阵的伪谱问题
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作者 张敏 王正盛 徐贵力 《江苏师范大学学报(自然科学版)》 CAS 2017年第2期49-52,共4页
基于Givens-QR分解,给出了companion矩阵的一种伪谱定义和相应的快速计算方法;利用给出的companion矩阵伪谱作为工具分析了balance技术的作用,说明了balance技术在矩阵计算中的重要性和有效性;针对多项式零点扰动,探讨了companion矩阵... 基于Givens-QR分解,给出了companion矩阵的一种伪谱定义和相应的快速计算方法;利用给出的companion矩阵伪谱作为工具分析了balance技术的作用,说明了balance技术在矩阵计算中的重要性和有效性;针对多项式零点扰动,探讨了companion矩阵的结构伪谱;最后,对文中所给算法进行了数值试验与比较,说明了其正确性和有效性. 展开更多
关键词 伪谱 companion矩阵 BALANCE Givens-QR分解 结构伪谱
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A note on the Moore-Penrose inverse of a companion matrix
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作者 王龙 陈建龙 《Journal of Southeast University(English Edition)》 EI CAS 2017年第1期123-126,共4页
Let R be an associative ring with unity 1. The existence of the Moore-Penrose inverses of block matrices overR is investigated and the sufficient ad necessary conditions for such existence are obtained. Furthermore, ... Let R be an associative ring with unity 1. The existence of the Moore-Penrose inverses of block matrices overR is investigated and the sufficient ad necessary conditions for such existence are obtained. Furthermore, the representation of the Moore-Penrose inverse of M=[0 A C B]is given under the condition of EBF - 0, where E - I - CCT and F - I -AfA. This result generalizes the representation of the Moore-Penrose inverse of the companion matrix M =[0 a In b]due to Pedro Patricio. As for applications, some examples are given to illustrate the obtained results. 展开更多
关键词 companion matrix Moore-Penrose inverse RING
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Solutions to the generalized Sylvester matrixequations by a singular value decomposition 被引量:1
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作者 Bin ZHOU Guangren DUAN 《控制理论与应用(英文版)》 EI 2007年第4期397-403,共7页
In this paper, solutions to the generalized Sylvester matrix equations AX -XF = BY and MXN -X = TY with A, M ∈ R^n×n, B, T ∈ Rn×r, F, N ∈ R^p×p and the matrices N, F being in companion form, are est... In this paper, solutions to the generalized Sylvester matrix equations AX -XF = BY and MXN -X = TY with A, M ∈ R^n×n, B, T ∈ Rn×r, F, N ∈ R^p×p and the matrices N, F being in companion form, are established by a singular value decomposition of a matrix with dimensions n × (n + pr). The algorithm proposed in this paper for the euqation AX - XF = BY does not require the controllability of matrix pair (A, B) and the restriction that A, F do not have common eigenvalues. Since singular value decomposition is adopted, the algorithm is numerically stable and may provide great convenience to the computation of the solution to these equations, and can perform important functions in many design problems in control systems theory. 展开更多
关键词 Generalize Sylvester matrix equations General solutions Companion matrix Singular value decomposition
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RESEARCH ON THE COMPANION SOLUTION FOR A THIN PLATE IN THE MESHLESS LOCAL BOUNDARY INTEGRAL EQUATION METHOD 被引量:1
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作者 龙述尧 熊渊博 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第4期418-423,共6页
The meshless local boundary integral equation method is a currently developed numerical method, which combines the advantageous features of Galerkin finite element method(GFEM), boundary element method(BEM) and elemen... The meshless local boundary integral equation method is a currently developed numerical method, which combines the advantageous features of Galerkin finite element method(GFEM), boundary element method(BEM) and element free Galerkin method(EFGM), and is a truly meshless method possessing wide prospects in engineering applications. The companion solution and all the other formulas required in the meshless local boundary integral equation for a thin plate were presented, in order to make this method apply to solve the thin plate problem. 展开更多
关键词 thin plate companion solution meshless local boundary integral equation method
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Experiences of women with the support they received from their birth companions during labour and delivery in Malawi 被引量:1
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作者 Esther Kungwimba Address Malata +1 位作者 Alfred Maluwa Ellen Chirwa 《Health》 2013年第1期45-52,共8页
A study was conducted to describe the experiences of primiparous women with the support they received from their birth companions during labour and delivery in Malawi. The study design was descriptive and utilized qua... A study was conducted to describe the experiences of primiparous women with the support they received from their birth companions during labour and delivery in Malawi. The study design was descriptive and utilized qualitative data collection and analysis method on a sample of 20 primiparous women. The women were recruited from the postnatal ward of Bwaila hospital and were interviewed regarding their experiences on the support they received from their birth companions during labour and delivery using an open ended interview guide. Data was manually analyzed using content analysis. Primiparous women described the support they received from their birth companions as useful and beneficial. Birth companions provided advice, physical, emotional and spiritual support to the women during their labour and delivery. In addition, the birth companions were viewed as guardians of the women during labour and delivery. Results however, show that some women were not properly assisted by their companions because both the mothers and companions lacked knowledge on birth companionship. The results further show that birth companions play important roles during the birth and delivery of primiparous women and thereby improving birth outcomes. Therefore, there is a need to train the companions regarding support to a woman during labour and delivery. Primiparous women also need to be trained during antenatal care education so that they properly understand the roles of a birth companion as opposed to those of the midwives. 展开更多
关键词 PRIMIPAROUS Woman BIRTH COMPANION Labour Delivery SUPPORT ANTENATAL Clinic Education BIRTH Experience
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Bounds for Polynomial’s Roots from Fiedler and Sparse Companion Matrices for Submultiplicative Matrix Norms 被引量:1
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作者 Mamoudou Amadou Bondabou Ousmane Moussa Tessa Amidou Morou 《Advances in Linear Algebra & Matrix Theory》 2021年第1期1-13,共13页
We use submultiplicative companion matrix norms to provide new bounds for roots for a given polynomial <i>P</i>(<i>X</i>) over the field C[<i>X</i>]. From a <i>n</i>... We use submultiplicative companion matrix norms to provide new bounds for roots for a given polynomial <i>P</i>(<i>X</i>) over the field C[<i>X</i>]. From a <i>n</i>×<i>n</i> Fiedler companion matrix <i>C</i>, sparse companion matrices and triangular Hessenberg matrices are introduced. Then, we identify a special triangular Hessenberg matrix <i>L<sub>r</sub></i>, supposed to provide a good estimation of the roots. By application of Gershgorin’s theorems to this special matrix in case of submultiplicative matrix norms, some estimations of bounds for roots are made. The obtained bounds have been compared to known ones from the literature precisely Cauchy’s bounds, Montel’s bounds and Carmichel-Mason’s bounds. According to the starting formel of <i>L<sub>r</sub></i>, we see that the more we have coefficients closed to zero with a norm less than 1, the more the Sparse method is useful. 展开更多
关键词 Fiedler Matrices Polynomial’s Roots Bounds for Polynomials Companion Matrices Sparse Companion Matrices Hessenberg Matrices Submultiplicative Matrix Norm
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SciMed Ltd Companion Ⅲ颈颅多普勒综合故障检修一例
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作者 石坚 罗峥 《医疗装备》 2016年第12期54-55,共2页
SciM ed Ltd Companion III二通道八深度颈颅多普勒检测仪(前身为EME公司产品)内部结构主要有三大部分组成。电源部分:主机电源部分,采用单相AC 220V输入,提供DC12V和DC5V直流电源输出;二次供电部分,主要为数据采集板提供电源。电脑... SciM ed Ltd Companion III二通道八深度颈颅多普勒检测仪(前身为EME公司产品)内部结构主要有三大部分组成。电源部分:主机电源部分,采用单相AC 220V输入,提供DC12V和DC5V直流电源输出;二次供电部分,主要为数据采集板提供电源。电脑部分:主要采用INTEL公司的迅驰移动式Inter Pen IV CPU,低功耗工业计算机专用主板, 展开更多
关键词 COMPANION Ⅲ颈颅多普勒 综合故障 检修
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医学英语单词例句:本刊英文部
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《中国组织工程研究与临床康复》 CAS CSCD 北大核心 2011年第23期4370-4370,共1页
Associate的用法及例句vt.联想,联合n.准学士学位获得者词义辨析:associate,companion,comrade,colleague,fellow,partner这些名词均有"同事,伙伴"之意。
关键词 英语单词 COMPANION 英文 医学 学士学位 获得者
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Closed-form Solutions to the Matrix Equation AX-EXF=BY with F in Companion Form
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作者 Bin Zhou Guang-Ren Duan 《International Journal of Automation and computing》 EI 2009年第2期204-209,共6页
A closed-form solution to the linear matrix equation AX-EXF = BY with X and Y unknown and matrix F being in a companion form is proposed, and two equivalent forms of this solution are also presented. The results provi... A closed-form solution to the linear matrix equation AX-EXF = BY with X and Y unknown and matrix F being in a companion form is proposed, and two equivalent forms of this solution are also presented. The results provide great convenience to the computation and analysis of the solutions to this class of equations, and can perform important functions in many analysis and design problems in descriptor system theory. The results proposed here are parallel to and more general than our early work about the linear matrix equation AX-XF = BY . 展开更多
关键词 Linear matrix equations closed-form solutions right factorizations descriptor linear systems companion matrix.
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