Combinatorial aspects of generalized complementary basic matrices

被引：2
作者：
Fiedler, Miroslav [1 ]
Hall, Frank J. [2 ]
机构：
[1] Acad Sci Czech Republic, Instute Comp Sci, Prague 18207 8, Czech Republic
[2] Georgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA
来源：
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2013年 / 11卷 / 12期
关键词：
Factorization; CB-matrix; GCB-matrix; Inheritance properties; P-matrix; Alternating sign matrices; Spectral radius; Sign pattern matrix; ALTERNATING SIGN MATRICES; PATTERNS;
D O I：
10.2478/s11533-013-0309-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper extends some properties of the generalized complementary basic matrices, in particular, in a combinatorial direction. These include inheritance (such as for Alternating Sign Matrices), spectral, and sign pattern matrix (including sign nonsingularity) properties.
引用
收藏
页码：2186 / 2196
页数：11
相关论文
共 16 条
[1]  
[Anonymous], 1959, THEORY MATRICES
[2]  
[Anonymous], 1991, CAMBRIDGE TRACTS MAT
[3]  
Brualdi R.A., 1995, Cambridge Tracts in Mathematics, V116
[4]   Patterns of alternating sign matrices [J].
Brualdi, Richard A. ;
Kiernan, Kathleen P. ;
Meyer, Seth A. ;
Schroeder, Michael W. .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (10) :3967-3990
[5]   A CLASS OF HESSENBERG MATRICES WITH KNOWN EIGENVALUES AND INVERSES [J].
CHOW, TS .
SIAM REVIEW, 1969, 11 (03) :391-&
[6]  
Fiedler M., PERMANENTS DET UNPUB
[7]   Intrinsic products and factorizations of matrices [J].
Fiedler, Miroslav .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 428 (01) :5-13
[8]   Some graph theoretic properties of generalized complementary basic matrices [J].
Fiedler, Miroslav ;
Hall, Frank J. .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (08) :3365-3374
[9]   A note on permanents and generalized complementary basic matrices [J].
Fiedler, Miroslav ;
Hall, Frank J. .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (09) :3553-3561
[10]   G-matrices [J].
Fiedler, Miroslav ;
Hall, Frank J. .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (03) :731-741
12