Swapping 2 x 2 blocks in the Schur and generalized Schur form

被引：3

作者：

Camps, Daan ^{[1
]}

Mastronardi, Nicola ^{[2
]}

Vandebril, Raf ^{[1
]}

Van Dooren, Paul ^{[3
]}

机构：

[1] Katholieke Univ Leuven, Dept Comp Sci, Leuven, Belgium

[2] CNR, Ist Applicaz Calcolo M Picone, Sede Di Bari, Italy

[3] Catholic Univ Louvain, Dept Math Engn, Louvain La Neuve, Belgium

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2020年 / 373卷

关键词：

Eigenvalues; Schur form; Reordering Schur form; Stability;

D O I：

10.1016/j.cam.2019.05.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we describe how to swap two 2 x 2 blocks in a real Schur form and a generalized real Schur form. We pay special attention to the numerical stability of the method. We also illustrate the stability of our approach by a series of numerical tests. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：8

共 50 条

[31] SCHUR CONVEXITY AND SCHUR-GEOMETRICALLY CONCAVITY OF GENERALIZED EXPONENT MEAN
Li, Da-Mao
Shi, Huan-Nan
JOURNAL OF MATHEMATICAL INEQUALITIES, 2009, 3 (02): : 217 - 225
[32] The Schur form for nonderogatory matrices
Yu. R. Nesterenko
Doklady Mathematics, 2014, 90 : 553 - 555
[33] The blocks of the q-Schur algebra
Cox, A
JOURNAL OF ALGEBRA, 1998, 207 (01) : 306 - 325
[34] 6 GENERALIZED SCHUR COMPLEMENTS
BUTLER, CA
MORLEY, TD
LINEAR ALGEBRA AND ITS APPLICATIONS, 1988, 106 : 259 - 269
[35] On generalized Schur's partitions
Cao, Zhu
Chen, Shi-Chao
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2017, 13 (06) : 1381 - 1391
[36] On Schur 2-Groups
Muzychuk M.E.
Ponomarenko I.N.
Journal of Mathematical Sciences, 2016, 219 (4) : 565 - 594
[37] On the stability of the generalized Schur algorithm
Mastronardi, N
Van Dooren, P
Van Huffel, S
NUMERICAL ANALYSIS AND ITS APPLICATIONS, 2001, 1988 : 560 - 567
[38] The Schur form for nonderogatory matrices
Nesterenko, Yu. R.
DOKLADY MATHEMATICS, 2014, 90 (02) : 553 - 555
[39] Stabilizing the generalized Schur algorithm
Chandrasekaran, S
Sayed, AH
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1996, 17 (04) : 950 - 983
[40] MORITA EQUIVALENCE FOR BLOCKS OF THE SCHUR ALGEBRAS
ERDMANN, K
MARTIN, S
SCOPES, J
JOURNAL OF ALGEBRA, 1994, 168 (01) : 340 - 347

← 1 2 3 4 5 →