SOME RESULTS ON THE POLYNOMIAL NUMERICAL HULLS OF MATRICES

被引：0

作者：

Afshin, H. R. ^{[1
]}

Mehrjoofard, M. A. ^{[1
]}

Salemi, A. ^{[2
]}

机构：

[1] Vali E Asr Univ Rafsanjan, Dept Math, Rafsanjan, Iran

[2] Shahid Bahonar Univ Kerman, Dept Math, Kerman, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2013年 / 39卷 / 03期

关键词：

Polynomial numerical hull; joint numerical range; normal matrices;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we characterize polynomial numerical hulls of matrices A is an element of M-n such that A(2) is Hermitian. Also, we consider normal matrices A is an element of M-n whose kth power are semidefinite. For such matrices we show that V-k (A) = sigma(A).

引用

页码：569 / 578

页数：10

共 11 条

[1]

Afshin HR, 2009, ELECTRON J LINEAR AL, V18, P253

[2]

Afshin HR, 2011, OPER MATRICES, V5, P89

[3]

[Anonymous], 1993, LECT MATH ETH ZURICH

[4]

Barvinok A., 2002, A Course in Convexity

[5] Characterizations of the polynomial numerical hull of degree k [J].

Burke, James V. ;

Greenbaum, Anne .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 419 (01) :37-47

[6] On polynomial numerical hulls of normal matrices [J].

Davis, C ;

Salemi, A .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 383 :151-161

[7] Polynomial numerical hulls of matrices [J].

Davis, Chandler ;

Li, Chi-Kwong ;

Salemi, Abbas .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 428 (01) :137-153

[8]

Dym H., 2007, Linear Algebra in Action

[9] The polynomial numerical hulls of Jordan blocks and related matrices [J].

Faber, V ;

Greenbaum, A ;

Marshall, DE .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 374 :231-246

[10] Minimal residual method stronger than polynomial preconditioning [J].

Faber, V ;

Joubert, W ;

Knill, E ;

Manteuffel, T .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1996, 17 (04) :707-729

← 1 2 →