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Criteria Condition for Generalized Diagonally Dominant Matrices 被引量:3
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作者 田素霞 《Chinese Quarterly Journal of Mathematics》 CSCD 2001年第1期102-106,共5页
In this paper, we provide some new necessary and sufficient conditions for generalized diagonally dominant matrices and also obtain some criteria for nongeneralized dominant matrices.
关键词 generalized diagonally dominant matrices Positive diagonal matrix criteria condition
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Criteria Conditions for Generalized Diagonally Dominant Matrices 被引量:3
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作者 TIAN Su-xia 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第1期63-67,共5页
In this paper, some new sufficient conditions for generalized dominant matrices are given, and some results in [1] are generalized and improved.
关键词 generalized diagonal dominant matrices α-diagonal dominant matrix criteria condition
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New Criteria for Judging Generalized Strictly Diagonally Dominant Matrix 被引量:1
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作者 ZHANG Jin-song 《Chinese Quarterly Journal of Mathematics》 2015年第2期166-171,共6页
Generalized strictly diagonally dominant matrices play a wide and important role in computational mathematics, mathematical physics, theory of dynamical systems, etc.But it is difficult to judge a matrix is or not gen... Generalized strictly diagonally dominant matrices play a wide and important role in computational mathematics, mathematical physics, theory of dynamical systems, etc.But it is difficult to judge a matrix is or not generalized strictly diagonally dominant matrix.In this paper, by using the properties of α-chain diagonally dominant matrix, we obtain new criteria for judging generalized strictly diagonally dominant matrix, which enlarge the identification range. 展开更多
关键词 generalized strictly diagonally dominant matrix CRITERIA s-chain diagonallydominant matrix
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Criteria Conditions for Generalized Diagonally Dominant Matrices
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作者 TIAN Su-xia 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第3期397-402,共6页
In this paper, we provide some new criteria conditions for generalized strictly diagonally dominant matrices, such that the corresponding results in [1] are generalized and improved.
关键词 generalized diagonal dominant matrices a-diagonal dominant matrix criteria condition
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非奇异H-张量的新判定
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作者 柳亮 王亚强 《Chinese Quarterly Journal of Mathematics》 2023年第2期123-133,共11页
H-tensor plays an important role in identifying positive definiteness of even order real symmetric tensors.In this paper,some definitions and theorems related to H-tensors are introducedfirstly.Secondly,some new criteria... H-tensor plays an important role in identifying positive definiteness of even order real symmetric tensors.In this paper,some definitions and theorems related to H-tensors are introducedfirstly.Secondly,some new criteria for identifying nonsingular H-tensors are proposed,moreover,a new theorem for identifying positive definiteness of even order real symmetric tensors is obtained.Finally,some numerical examples are given to illustrate our results. 展开更多
关键词 H-tensors Generalized diagonally dominant M-tensors
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Necessary and Sufficient Condition for Generalized Diagonal Dominance Matrices 被引量:1
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作者 杨益民 《Chinese Quarterly Journal of Mathematics》 CSCD 1996年第2期26-29,共4页
In the paper,a necessary and sufficeent condition for generalized diagonal domiance matrices is given.Further, the relations among all generalized positive definite matrices are shown, also,some flaws and mistakes in... In the paper,a necessary and sufficeent condition for generalized diagonal domiance matrices is given.Further, the relations among all generalized positive definite matrices are shown, also,some flaws and mistakes in the references are corrected. 展开更多
关键词 generalized diagonal dominance matrix generalized positive definite matrix M-MATRIX
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Photoproduction of Vector Meson φ off Deuteron in QCD Inspired Model
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作者 MENG Cheng-Ju PAN Ji-Huan +2 位作者 PENG Jin-Song MA Wei-Xing YUAN Tong-Quan 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第8期295-301,共7页
Based on the quark-gluon contents of nucleon and strongly believing that the force mediators,Pomeronand its counterpart in the conventional approach of Regge theory,for high energy diffractive process would be the ten... Based on the quark-gluon contents of nucleon and strongly believing that the force mediators,Pomeronand its counterpart in the conventional approach of Regge theory,for high energy diffractive process would be the tensorglueball and Odderon respectively,we discuss photo-production of vector meson φ off the deuteron at energy less than 3GeV in the QCD inspired model in which the quark gluon degrees of freedom and glueball,Odderon exchange are takeninto account.A calculation is performed for γ + D →φ + D,and the theoretical predictions of the differential crosssection dσ^(γD)) /dt,are presented and compared with available experimental data.Our QCD inspired model reproducesdata quite well in the whole range of the experimental measurements up to |t| ■0.4 GeV.Our results can be used toextract γn→φn data,which cannot be measured in experiment. 展开更多
关键词 photoproduction of vector meson QCD generalized vector meson dominance model QCD
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Some Criteria for H-Tensors
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作者 Guangbin Wang Fuping Tan 《Communications on Applied Mathematics and Computation》 2020年第4期641-651,共11页
The H-tensor is a new developed concept in tensor analysis and it is an extension of the M-tensor.In this paper,we present some criteria for identifying nonsingular H-tensors and give two numerical examples.
关键词 H-tensor Generalized diagonally dominant M-tensor
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Criteria for strong H-tensors 被引量:8
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作者 Yiju WANG Kaili ZHANG Hongchun SUN 《Frontiers of Mathematics in China》 SCIE CSCD 2016年第3期577-592,共16页
H-tensor is a new developed concept which plays an important role in tensor analysis and computing. In this paper, we explore the properties of H-tensors and establish some new criteria for strong H-tensors. In partic... H-tensor is a new developed concept which plays an important role in tensor analysis and computing. In this paper, we explore the properties of H-tensors and establish some new criteria for strong H-tensors. In particular, based on the principal subtensor, we provide a new necessary and sufficient condition of strong H-tensors, and based on a type of generalized diagonal product dominance, we establish some new criteria for identifying strong H-tensors. The results obtained in this paper extend the corresponding conclusions for strong H-matrices and improve the existing results for strong H-tensors. 展开更多
关键词 Strong H-tensor generalized diagonal dominance multilinearalgebra weak irreducibility
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Distance domination of generalized de Bruijn and Kautz digraphs 被引量:2
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作者 Yanxia DONG Erfang SHAN Xiao MIN 《Frontiers of Mathematics in China》 SCIE CSCD 2017年第2期339-357,共19页
Let G= (V,A) be adigraph and k ≥ 1 an integer. For u,v ∈ V, we say that the vertex u distance k-dominate v if the distance from u to v at most k. A set D of vertices in G is a distance k-dominating set if each ver... Let G= (V,A) be adigraph and k ≥ 1 an integer. For u,v ∈ V, we say that the vertex u distance k-dominate v if the distance from u to v at most k. A set D of vertices in G is a distance k-dominating set if each vertex of V / D is distance k-dominated by some vertex of D. The distance k-domination number of G, denoted by γk(G), is the minimum cardinality of a distance k-dominating set of G. Generalized de Bruijn digraphs GB(n, d) and generalized Kautz digraphs Gg(n, d) are good candidates for interconnection k networks. Denote △k :=(∑j^k=0 d^j)^-1. F. Tian and J. Xu showed that [n△k] ≤ γk(GB(n,d)) ≤ [n/d^k] and [n△k] ≤ γk(GK(n,d)) ≤ [n/d^k]. In this paper, we prove that every generalized de Bruijn digraph GB(n, d) has the distance k- domination number [n△k] or [n△k] + 1, and the distance k-domination number of every generalized Kautz digraph GK(n, d) bounded above by [n/ (d^k-1 +d^k)]. Additionally, we present various sufficient conditions for γk(GB(n, d)) = [n△k] and γk(GK(n, d)) = [n△k]. 展开更多
关键词 Combinatorial problems dominating set distance dominating set generalized de Bruijn digraph generalized Kautz digraph
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