๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the eigenvalues of a specially updated complex matrix

โœ Scribed by Zhiping Xiong; Bing Zheng

Book ID
104008481
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
397 KB
Volume
57
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, an alternatively simpler proof to an eigenvalue theorem of a specially structured rank-r updated complex matrix is presented and also its characteristic polynomial is explicitly determined by Leverrier's algorithm for m-D system.

๐Ÿ“œ SIMILAR VOLUMES

Short note: An integrable numerical algo
Short note: An integrable numerical algorithm for computing eigenvalues of a specially structured matrix
โœ Jian-Qing Sun; Xing-Biao Hu; Hon-Wah Tam ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 123 KB

This paper is motivated by some recent work of Fukuda, Ishiwata, Iwasaki, and Nakamura (Inverse Problems 2009; 25:015007). We first design an algorithm for computing the eigenvalues of a specially structured matrix from the discrete Bogoyavlensky Lattice 2 (dBL2) system. A Lax representation for the

Eigenvalues and Jordan canonical form of
Eigenvalues and Jordan canonical form of a successively rank-one updated complex matrix with applications to Google's PageRank problem
โœ Gang Wu ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 153 KB

Let A be an n ร— n complex matrix with eigenvalues 1 , . . . , n counting algebraic multiplicities. Let X = [x 1 , . . . , x k ] be a rank-k matrix such that x 1 , . . . , x k are right eigenvectors of A corresponding to 1 , . . . , k for 1 k n, respectively, and V =[v 1 , . . . , v k ] โˆˆ C nร—k be co