Eigenvalues of matrices with several prescribed blocks, II

被引：9

作者：

Cravo, G ^{[1
]}

Silva, FC

机构：

[1] Univ Madeira, Dept Matemat, P-9000390 Funchal, Portugal

[2] Univ Lisbon, Fac Ciencias, Dept Matemat, P-1749016 Lisbon, Portugal

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2003年 / 364卷

关键词：

eigenvalues; matrix completion problems;

D O I：

10.1016/S0024-3795(02)00536-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider a n x n matrix partitioned into k x k blocks: C =[C-i,C- j], where C-1,C-1,..., C-k,C-k are square. This paper studies the possible eigenvalues of C when a diagonal of blocks C-i,C- j is fixed and the others vary. (C) 2003 Elsevier Science Inc. All rights reserved.

引用

页码：81 / 89

页数：9

共 50 条

[21] SYNTHESIS OF CERTAIN SUBCLASSES OF TRIDIAGONAL MATRICES WITH PRESCRIBED EIGENVALUES
NAVOT, I
SIAM JOURNAL ON APPLIED MATHEMATICS, 1967, 15 (02) : 241 - &
[22] An algorithm for constructing nonnegative matrices with prescribed real eigenvalues
Lin, Matthew M.
APPLIED MATHEMATICS AND COMPUTATION, 2015, 256 : 582 - 590
[23] THE DETERMINANT OF THE SUM OF 2 NORMAL MATRICES WITH PRESCRIBED EIGENVALUES
BEBIANO, N
QUEIRO, JF
LINEAR ALGEBRA AND ITS APPLICATIONS, 1985, 71 (NOV) : 23 - 28
[24] On a numerical construction of doubly stochastic matrices with prescribed eigenvalues
Rammal, Kassem
Mourad, Bassam
Abbas, Hassane
Issa, Hassan
INVERSE PROBLEMS, 2023, 39 (07)
[25] Explicit eigenvalues and inverses of several Toeplitz matrices
Yueh, Wen-Chyuan
Cheng, Sui Sun
ANZIAM JOURNAL, 2006, 48 : 73 - 97
[26] MATRICES WITH PRESCRIBED CHARACTERISTIC POLYNOMIAL AND PRINCIPAL BLOCKS
DEOLIVEIRA, GN
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1981, 24 (OCT) : 203 - 208
[27] MATRICES WITH PRESCRIBED NONPRINCIPAL BLOCKS AND THE TRACE FUNCTION
MARQUES, MD
LINEAR ALGEBRA AND ITS APPLICATIONS, 1991, 146 : 1 - 6
[28] ON MULTIPLE-EIGENVALUES OF MATRICES DEPENDING ON SEVERAL PARAMETERS
CHU, KWE
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1990, 27 (05) : 1368 - 1385
[29] Anti-diagonals of symmetric and skew symmetric matrices with prescribed eigenvalues
Yan, Wen
Tam, Tin-Yau
LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (03) : 1446 - 1453
[30] Eigenvalues of Toeplitz matrices with 1x2 blocks
Strang, G
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 : 37 - 39

← 1 2 3 4 5 →