On the properties of accretive-dissipative matrices

被引：32

作者：

George, A ^{[1
]}

Ikramov, KD

机构：

[1] Univ Waterloo, Waterloo, ON N2L 3G1, Canada

[2] Moscow MV Lomonosov State Univ, Moscow 117234, Russia

来源：

MATHEMATICAL NOTES | 2005年 / 77卷 / 5-6期

关键词：

accretive matrix; dissipative matrix; accretive-dissipative matrices; Gaussian elimination; growth factor; Toeplitz decomposition; Schur product;

D O I：

10.1007/s11006-005-0077-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a complex n x n matrix, and let A = B + iC, B = B*, C = C* be its Toeplitz decomposition. Then A is said to be (strictly) accretive if B > 0 and (strictly) dissipative if C > 0. We study the properties of matrices that satisfy both these conditions, in other words, of accretive-dissipative matrices. In many respects, these matrices behave as numbers in the first quadrant of the complex plane. Some other properties are natural extensions Of the corresponding properties of Hermitian positive-definite matrices.

引用

页码：767 / 776

页数：10

共 16 条

[1] On sectorial matrices [J].