The continuing influence of Fiedler's work on companion matrices

被引：6

作者：

Mackey, D. Steven ^{[1
]}

机构：

[1] Western Michigan Univ, Dept Math, Kalamazoo, MI 49008 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 439卷 / 04期

基金：

美国国家科学基金会;

关键词：

Fiedler matrix; Fiedler pencil; Companion form; Matrix polynomial; Matrix pencil; Regular; Singular; Linearization Elementary divisors; Minimal indices; Strict equivalence; POLYNOMIAL-MATRICES; LINEARIZATIONS; RECOVERY; FORMS;

D O I：

10.1016/j.laa.2011.11.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This is a reconstruction in article-like form of a talk given at the "Minisymposium in Honor of Miroslav Fiedler" at the 17th ILAS Conference, held at TU Braunschweig, Germany, on Thursday 25 August 2011. (c) 2011 Published by Elsevier Inc.

引用

页码：810 / 817

页数：8

共 50 条

[1] Condition numbers for inversion of Fiedler companion matrices
De Teran, Fernando
Dopico, Froilan M.
Perez, Javier
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (04) : 944 - 981
[2] New bounds for roots of polynomials based on Fiedler companion matrices
De Teran, Fernando
Dopico, Froilan M.
Perez, Javier
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 451 : 197 - 230
[3] Backward stability of polynomial root-finding using Fiedler companion matrices
De Teran, Fernando
Dopico, Froilan M.
Perez, Javier
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 2016, 36 (01) : 133 - 173
[4] Fiedler matrices and their factorization
Stuart, JL
Weaver, JR
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 276 : 579 - 594
[5] A Note on Generic Fiedler Matrices
Liquan Zhao (Key Lab. of Electronic Business
[J]. Numerical Mathematics(Theory,Methods and Applications), 2007, (02) : 140 - 146
[6] A simple proof of Fiedler's conjecture concerning orthogonal matrices
Shader, BL
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1997, 27 (04) : 1239 - 1243
[7] On Fiedler's characterization of tridiagonal matrices over arbitrary fields
Bento, A
Duarte, AL
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 401 : 467 - 481
[8] BACKWARD ERROR AND CONDITIONING OF FIEDLER COMPANION LINEARIZATIONS
De Teran, Fernando
[J]. MATHEMATICS OF COMPUTATION, 2020, 89 (323) : 1259 - 1300
[9] Fiedler companion linearizations for rectangular matrix polynomials
De Teran, Fernando
Dopico, Froilan M.
Mackey, D. Steven
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (03) : 957 - 991
[10] FIEDLER COMPANION LINEARIZATIONS AND THE RECOVERY OF MINIMAL INDICES
De Teran, Fernando
Dopico, Froilan M.
Mackey, D. Steven
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2010, 31 (04) : 2181 - 2204

← 1 2 3 4 5 →