Lieb functions and sectorial matrices

被引：15

作者：

Alakhrass, Mohammad ^{[1
]}

Sababheh, Mohammad ^{[2
]}

机构：

[1] Univ Sharjah, Dept Math, Sharjah 27272, U Arab Emirates

[2] Princess Sumaya Univ Technol, Dept Basic Sci, Amman 11941, Jordan

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2020年 / 586卷

关键词：

Lieb functions; Sectorial matrices; Accretive-dissipative matrices; NORM INEQUALITIES; DETERMINANTAL INEQUALITIES; NUMERICAL RANGES;

D O I：

10.1016/j.laa.2019.10.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we present a special treatment of sectorial matrices under Lieb functions. This treatment results from a new characterization of sectorial matrices using blocks, which then implies a new set of inequalities governing such matrices, where singular values, determinants, numerical radius and unitarily invariant norms inequalities are retrieved in a general form that implies many well known results in the literature. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：308 / 324

页数：17

共 19 条

[1]

Alakhrass M., 2019, LINEAR MULTILINEAR A

[2] On sectorial matrices [J].

Arlinskii, YM ;

Popov, AB .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 370 :133-146

[3] Norm inequalities for positive operators [J].

Bhatia, R ;

Kittaneh, F .

LETTERS IN MATHEMATICAL PHYSICS, 1998, 43 (03) :225-231

[4]

Bhatia R., 1997, MATRIX ANAL, DOI [10.1007/978-1-4612-0653-8, DOI 10.1007/978-1-4612-0653-8]

[5] The singular values of A+B and A+iB [J].

Bhatia, Rajendra ;

Kittaneh, Fuad .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 431 (09) :1502-1508

[6] Fischer determinantal inequalities and Higham's Conjecture [J].

Drury, S. W. .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (10) :3129-3133

[7] SINGULAR VALUE INEQUALITIES FOR MATRICES WITH NUMERICAL RANGES IN A SECTOR [J].

Drury, Stephen ;

Lin, Minghua .

OPERATORS AND MATRICES, 2014, 8 (04) :1143-1148

[8] Norm inequalities involving accretive-dissipative 2 x 2 block matrices [J].

Gumus, Ibrahim Halil ;

Hirzallah, Omar ;

Kittaneh, Fuad .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 528 :76-93

[9] ENERGY CONSERVING NORMS FOR THE SOLUTION OF HYPERBOLIC SYSTEMS OF PARTIAL-DIFFERENTIAL EQUATIONS [J].

GUNZBURGER, MD ;

PLEMMONS, RJ .

MATHEMATICS OF COMPUTATION, 1979, 33 (145) :1-10

[10]

Horn R.A., 2013, Matrix Analysis

← 1 2 →