HR分解的精化扰动界(英文)

Refined Perturbation Bounds for the HR Decomposition

下载PDF

导出

摘要给出了HR分解的分量型和范数型的一阶扰动界.对于范数型,新的精化扰动界至少优于已有结果,特别的,新的关于R因子的扰动界远远优于已有的扰动界. In the paper first-order componentwise and normwise perturbation bounds for the HR. decomposition are presented. The new normwise bounds are at least as good as previously known results. In particular, for the R factor, the normwise bound can be significantly tighter than the previous result.

作者赖降周卢琳璋

机构地区福州大学数学与计算机科学学院贵州师范大学数学与计算机科学学院厦门大学数学科学学院

出处《数学研究》 CSCD 2012年第3期263-270,共8页 Journal of Mathematical Study

基金 supported by NSFC(10961010/A01 1705,11101087) theScientific Research Fund of Fujian Provincial Education Department(JA11034) the Scientific Research Starting Foundation of Fuzhou University(022427)

关键词条件估值 HR分解扰动分析 condition estimation HR decomposition perturbation analysis

分类号 O151.21 [理学—基础数学]

引文网络
相关文献

参考文献6

1Bunse-Gerstner A. An anlysis of the HR algorithm for computing the Eigenvalues of a matrix, Lin Alg Appl, 35(1981): 155-173.
2Bhatia R. Matrix factorization and their perturbations, Lin Alg Appl, 197(1995): 245-276.
3Chang X W, Paige C C and Stewart G W. Perturbation analyses for the QR facto- rization, SIAM J Matrix Anal Appl, 18(1997): 7 75-791.
4Chang X W and Paige C C. Componentwise Perturbation Analyses for the QR Fac- torization, Numerische Mathematic, 88(2001): 319-345.
5Van der Sluis A. Condition numbers and equilibration of matrices, Numerische Mathe- matic. 14(1969): 14-23.
6Higham N 3. Accuracy and Stability of Numerical Algorithms, SIAM, Philadelphia, PA, USA, 1996.

1安希忠,王增辉,李长虹.关于r因子等比重复实验[J].吉林农业大学学报,1990,12(1):89-93.
2徐中民,张志强,程国栋,苏志勇,张海涛.运用信息熵理论研究条件估值调查中的抽样问题[J].系统工程理论与实践,2003,23(3):129-133. 被引量：12
3K.A.Olive,K.Agashe,C.Amsler,M.Antonelli,J.-F.Arguin,D.M.Asner,H.Baer,H.R.Band,R.M.Barnett,T.Basaglia,C.W.Bauer,J.J.Beatty,V.I.Belousov,J.Beringer,G.Bernardi,S.Bethke,H.Bichsel,O.Biebe,E.Blucher,S.Blusk,G.Brooijmans,O.Buchmueller,V.Burkert,M.A.Bychkov,R.N.Cahn,M.Carena,A.Ceccucci,A.Cerr,D.Chakraborty,M.-C.Chen,R.S.Chivukula,K.Copic,G.Cowan,O.Dahl,G.D'Ambrosio,T.Damour,D.de Florian,A.de Gouvea,T.DeGrand,P.de Jong,G.Dissertor,B.A.Dobrescu,M.Doser,M.Drees,H.K.Dreiner,D.A.Edwards,S.Eidelman,J.Erler,V.V.Ezhela,W.Fetscher,B.D.Fields,B.Foster,A.Freitas,T.K.Gaisser,H.Gallagher,L.Garren,H.-J.Gerber,G.Gerbier,T.Gershon,T.Gherghetta,S.Golwala,M.Goodman,C.Grab,A.V.Gritsan,C.Grojean,D.E.Groom,M.Grnewald,A.Gurtu,T.Gutsche,H.E.Haber,K.Hagiwara,C.Hanhart,S.Hashimoto,Y.Hayato,K.G.Hayes,M.Heffner,B.Heltsley,J.J.Hernandez-Rey,K.Hikasa,A.Hocker,J.Holder,A.Holtkamp,J.Huston,J.D.Jackson,K.F.Johnson,T.Junk,M.Kado,D.Karlen,U.F.Katz,S.R.Klein,E.Klempt,R.V.Kowalewski,F.Krauss,M.Kreps,B.Krusche,Yu.V.Kuyanov,Y.Kwon,O.Lahav,J.Laiho,P.Langacker,A.Liddle,Z.Ligeti,C.-J.Lin,T.M.Liss,L.Littenberg,K.S.Lugovsky,S.B.Lugovsky,F.Maltoni,T.Mannel,A.V.Manohar,W.J.Marciano,A.D.Martin,A.Masoni,J.Matthews,D.Milstead,P.Molaro,K.Monig,F.Moortgat,M.J.Mortonson,H.Murayama,K.Nakamura,M.Narain,P.Nason,S.Navas,M.Neubert,P.Nevski,Y.Nir,L.Pape,J.Parsons,C.Patrignani,J.A.Peacock,M.Pennington,S.T.Petcov,Kavli IPMU,A.Piepke,A.Pomarol,A.Quadt,S.Raby,J.Rademacker,G.Raffel,B.N.Ratcliff,P.Richardson,A.Ringwald,S.Roesler,S.Rolli,A.Romaniouk,L.J.Rosenberg,J,L.Rosner,G.Rybka,C.T.Sachrajda,Y.Sakai,G.P.Salam,S.Sarkar,F.Sauli,O.Schneider,K.Scholberg,D.Scott,V.Sharma,S.R.Sharpe,M.Silari,T.Sjostrand,P.Skands,J.G.Smith,G.F.Smoot,S.Spanier,H.Spieler,C.Spiering,A.Stahl,T.Stanev,S.L.Stone,T.Sumiyoshi,M.J.Syphers,F.Takahashi,M.Tanabashi,J.Terning,L.Tiator,M.Titov,N.P.Tkachenko,N.A.Tornqvist,D.Tovey,G.Valencia,G.Venanzoni,M.G.Vincter,P.Vogel,A.Vogt,S.P.Wakely,W.Walkowiak,C.W.Walter,D.R.Ward,G.Weiglein,D.H.Weinberg,E.J.Weinberg,M.White,L.R.Wiencke,C.G.Wohl,L.Wolfenstein,J.Womersley,C.L.Woody,R.L.Workman,A.Yamamoto,W.-M.Yao,G.P.Zeller,O.V.Zenin,J.Zhang,R.-Y.Zhu,F.Zimmermann,P.A.Zyla,G.Harper,V.S.Lugovsky,P.Schaffner.SU(3) ISOSCALAR FACTORS AND REPRESENTATION MATRICES[J].Chinese Physics C,2014,38(9):506-506. 被引量：1
4张四保.一类奇完全数的Euler因子[J].吉林师范大学学报（自然科学版）,2009,30(2):120-121.
5唐强,张纯祥,罗达玲,陈国云,熊正烨.掺稀土硫酸盐的剂量响应特性[J].核技术,2005,28(5):395-398. 被引量：2
6张四保,李中恢.奇完全数的研究进展[J].佛山科学技术学院学报（自然科学版）,2009,27(3):37-40. 被引量：5
7王芳,陈浩,王瑛,李娟,张薇.面向地震灾害的河北省救灾物资储备库选址研究[J].自然灾害学报,2013,22(2):29-35. 被引量：12

数学研究

2012年第3期

浏览历史

内容加载中请稍等...

HR分解的精化扰动界(英文)

参考文献6

相关作者

相关机构

相关主题

浏览历史