THE PROPERTIES OF A KIND OF RANDOM SYMPLECTIC MATRICES

THE PROPERTIES OF A KIND OF RANDOM SYMPLECTIC MATRICES

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摘要 Several important properties of a kind of random symplectic matrix used by A. Bunse-Gerstner and V. Mehrmann are studied and the following results are obtained: 1) It can be transformed to Jordan canonical form by orthogonal similar transformation; 2) Its condition number is a constant; 3) The condition number of it is about 2.618. Several important properties of a kind of random symplectic matrix used by A. Bunse-Gerstner and V. Mehrmann are studied and the following results are obtained: 1) It can be transformed to Jordan canonical form by orthogonal similar transformation; 2) Its condition number is a constant; 3) The condition number of it is about 2.618.

作者 YAN Qing-you(闫庆友)

机构地区 Department of Applied Mathematics

出处《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2002年第5期590-596,共7页 应用数学和力学（英文版）

基金 theSpecialFundsfortheStateMajorBasicResearchProjects (G1 9990 32 80 5) DoctorFoundationofEducationCommitteeofChina

关键词 symplectic matrix QR-like algorithm EIGENVALUE condition number Jordan canonical form Schur canonical form symplectic matrix QR-like algorithm eigenvalue condition number Jordan canonical form Schur canonical form

分类号 O241.6 [理学—计算数学]

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Applied Mathematics and Mechanics(English Edition)

2002年第5期

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THE PROPERTIES OF A KIND OF RANDOM SYMPLECTIC MATRICES

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