Open problems on GKK τ-matrices

被引：27
作者：
Holtz, O
Schneider, H
机构：
[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
[2] Univ Wisconsin, Dept Comp Sci, Madison, WI 53706 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2002年 / 345卷 / 1-3期
关键词：
GKK tau-matrices; P-matrices; M-matrices; stability; eigenvalue monotonicity; principal minors; almost principal minors; dispersal; Hadamard-Fischer inequality; Newton inequality; inverse eigenvalue problem;
D O I：
10.1016/S0024-3795(01)00492-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose several open problems on GKK tau-matrices raised by examples showing that some such matrices are unstable. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：263 / 267
页数：5
相关论文
共 14 条
[1]  
[Anonymous], OSCILLATION MATRICES
[2]   CONSTRUCTION OF BAND MATRICES FROM SPECTRAL DATA [J].
BIEGLERKONIG, FW .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1981, 40 (OCT) :79-87
[3]   WEAKLY SIGN-SYMMETRIC MATRICES AND SOME DETERMINANTAL INEQUALITIES [J].
CARLSON, D .
COLLOQUIUM MATHEMATICUM, 1967, 17 (01) :123-&
[4]   CLASS OF POSITIVE STABLE MATRICES [J].
CARLSON, D .
JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS SECTION B-MATHEMATICAL SCIENCES, 1974, B 78 (01) :1-2
[5]  
CEBOTAREV NG, 1949, TRUDY MAT I STEKLOV, V26
[6]  
ENGEL GM, 1976, LINEAR MULTILINEAR A, V4, P155
[7]   SUBADDITIVE FUNCTIONS ON A DISTRIBUTIVE LATTICE AND AN EXTENSION OF SZASZS INEQUALITY [J].
FAN, K .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1967, 18 (02) :262-&
[8]   RECENT DIRECTIONS IN MATRIX STABILITY [J].
HERSHKOWITZ, D .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 171 :161-186
[9]   NOTES ON OMEGA-MATRIX AND TAU-MATRIX [J].
HERSHKOWITZ, D ;
BERMAN, A .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1984, 58 (APR) :169-183
[10]   Not all GKK τ-matrices are stable [J].
Holtz, O .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 291 (1-3) :235-244
12