A note on "Constructing matrices with prescribed off-diagonal submatrix and invariant polynomials"

被引：0

作者：

Borobia, Alberto ^{[1
]}

Canogar, Roberto ^{[1
]}

机构：

[1] Univ Nacl Educ Distancia, Dpto Matemat, Madrid 28040, Spain

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2008年 / 429卷 / 07期

关键词：

inverse eigenvalue problem; matrix completion problem;

D O I：

10.1016/j.laa.2008.05.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let F be any field and let B a matrix of F-qxp. Zaballa found necessary and sufficient conditions for the existence of a matrix A = [A(ij)](i,j) epsilon {1, 2} epsilon F(p+q)x(p+q) with prescribed similarity class and such that A(21) = B. In an earlier paper [A. Borobia, R. Canogar, Constructing matrices with prescribed off-diagonal submatrix and invariant polynomials, Linear Algebra Appl. 424 (2-3) (2007) 615-633] we obtained, for fields of characteristic different from 2, a finite step algorithm to construct A when it exists. In this short note we extend the algorithm to any field. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：1684 / 1686

页数：3

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