Use of the TOEPLITZ decomposition in the stratification of matrices
Abstract
Normal matrices N are a submanifold stratified in star shape R^(2n2) for practical purposes, it is convenient to know the details concerning the stratification of certain matrices. This article displays useful theorems that allow decanting a stratification of normal matrices using Toeplitz decomposition. The procedure will also facilitate the calculation of eigenvectors and eigenvalues using either Arnoldy or Lanczos Hermithian method according to Huthanen [4].Downloads
Languages:
esSupport agencies:
Universidad Militar Nueva GranadaReferences
BAKER A. (2001), Matrix Group. And Introduction to Lie Group Theory. Springer Undergraduate Mathematics Series.
GOMEZ, A (2005). A Strata of normal matrices. Ciencia e Ingeniería Neogranadina. 15: 6-11
HARD.R.M. (1975), Topological properties of subanalytic, sets, Trans.AMS, 211: 57-70
HUTHANEN.M. (2001). A Stratification of the set of normal matrices, SIAM J, Matrix Anal. Appl. Vol 23, N.2, pp 349-367
HORN.R., JOHNSON.C. (1985). Matrix Analysis. CAMBRIDGE UNIVERSITY PRESS.
MEYER.C. (2000), Matrix Análisis and Applied Linear Álgebra. SIAM.
PFLAUM.M. (2001). Analytic and Geometric Study of stratified spaces. Springer- Verlag Berlin Heidelberg: pg 15-53
POLLACK.A, GUILLEMIN.V. (2003), Topología diferencial UNAM.
SPIVAK.M. (1999), A Comprehensive introduction to Differential Geometry, Vol 1, Houston, Publish or Perish INC.
| Article metrics | |
|---|---|
| Abstract views | |
| Galley vies | |
| PDF Views | |
| HTML views | |
| Other views | |







