检索结果-南通市图书馆

THE EIGENVALUE PERTURBATION BOUND FOR ARBITRARY MATRICES

在线全文

学校读者我要写书评

暂无评论

Journal of Computational Mathematics 2006年第2期24卷 141-148页

作者： Wen Li Jian-xin Chen School of Mathematical Sciences South China Normal University Guangzhou 510631 China College of Applied Mathematics Guangdong University of Technology Guangzhou 510090 China

In this paper we present some new absolute and relative perturbation bounds for the eigenvalue for arbitrary matrices, which improves some recent results. The eigenvalue inclusion region is also discussed.

关键词： Eigenvalue perturbation bound jordan canonical form Frobenius norm Spectral norm Inclusion region.

THE PROPERTIES OF A KIND OF RANDOM SYMPLECTIC MATRICES

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2002年第5期23卷 590-596页

作者： YAN Qing-you(闫庆友) Department of Applied Mathematics Dalian University of Technology Dalian 116024 P R China

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.

关键词： symplectic matrix QR-like algorithm eigenvalue condition number jordan canonical form Schur canonical form

COMPUTING THE EIGENVECTORS OF A MATRIX WITH MULTIPLEX EIGENVALUES BY SVD METHOD

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2004年第3期25卷 257-262页

作者：迟彬叶庆凯 Department of Mechanics and Engineering Science Peking University

Every matrix is similar to a matrix in jordan canonical form,which has very important sense in the theory of linear algebra and its engineering *** a matrix with multiplex eigenvalues,an algorithm based on the singular value decomposition(SVD) for computing its eigenvectors and jordan canonical form was *** simulation shows that this algorithm has good effect in computing the eigenvectors and its jordan canonical form of a matrix with multiplex *** is superior to MATLAB and MATHEMATICA.

关键词： multiplex eigenvalue eigenvector eigenvector chain jordan canonical form

Commuting Solutions of a Quadratic Matrix Equation for Nilpotent Matrices

在线全文

学校读者我要写书评

暂无评论

Algebra Colloquium 2018年第1期25卷 31-44页

作者： Qixiang Dong Jiu Ding Qianglian Huang School of Mathematical Sciences Yangzhou University Yangzhou Jiangsu 225002 China Department of Mathematics University of Southern Mississippi Hattiesburg MS 39406 USA

We solve the quadratic matrix equation AXA = XAX with a given nilpotent matrix A, to find all commuting solutions. We first provide a key lemma, and consider the special case that A has only one jordan block to motivate the idea for the general case. Our main result gives the structure of all the commuting solutions of the equation with an arbitrary nilpotent matrix.

关键词： quadratic matrix equation nilpotent matrix jordan canonical form Toeplitz matrix commuting solution

Computation of jordan Chains by Generalized Characteristic Matrices

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Quarterly Journal of Mathematics 2009年第1期24卷 58-62页

作者： LI Da-lin Department of Basic Courses Liuzhou Vocational Institute of Technology Liuzhou 545006 China

In this paper, we introduce a method to define generalized characteristic matrices of a defective matrix by the common form of jordan chains. The generalized characteristic matrices can be obtained by solving a system... 详细信息

关键词： jordan canonical form jordan chain generalized characteristic matrix char-acteristic polynomial

A New Approach for Inverting the Pascal Matrix Plus a Scalar

在线全文

学校读者我要写书评

暂无评论

Chinese Quarterly Journal of Mathematics 2011年第3期26卷 378-382页

作者： YANG Sheng-liang MA Cheng-ye School of Sciences Lanzhou University of Technology Lanzhou 730050 China

In this paper,using the jordan canonical form of the Pascal matrix Pn,we present a new approach for inverting the Pascal matrix plus a scalar Pn+aIn for arbitrary real number a≠1.

关键词： Pascal matrix Stirling number Stirling matrix jordan canonical form