✦ LIBER ✦

Estimation of the eigenvalues and the smallest singular value of matrices

✍ Scribed by Limin Zou; Youyi Jiang

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 160 KB
Volume: 433
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2010.05.002

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Eigenvalues and singular values of certa

Eigenvalues and singular values of certain random matrices

✍ Alan L. Andrew 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 491 KB

On the closeness of eigenvalues and sing

On the closeness of eigenvalues and singular values for almost normal matrices

✍ Axel Ruhe 📂 Article 📅 1975 🏛 Elsevier Science 🌐 English ⚖ 316 KB

Iterative computation of the smallest si

Iterative computation of the smallest singular value and the corresponding singular vectors of a matrix

✍ Hubert Schwetlick; Uwe Schnabel 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 267 KB

Partial orderings of matrices referring

Partial orderings of matrices referring to singular values or eigenvalues

✍ Jerzy K. Baksalary; Jan Hauke 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 469 KB

Bounds for the smallest singular value o

Bounds for the smallest singular value of a Jordan block with an application to eigenvalue perturbation

✍ Jiang Erxiong 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 575 KB

Bounds for norms of the matrix inverse a

Bounds for norms of the matrix inverse and the smallest singular value

✍ Nenad Morača 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 172 KB

In the first part, we obtain two easily calculable lower bounds for A -1 , where • is an arbitrary matrix norm, in the case when A is an M-matrix, using first row sums and then column sums. Using those results, we obtain the characterization of M-matrices whose inverses are stochastic matrices. With