BLOCK-MATRIX GENERALIZATIONS OF SCHUR BASIC THEOREMS ON HADAMARD-PRODUCTS

被引：27

作者：

HORN, RA ^{[1
]}

MATHIAS, R ^{[1
]}

机构：

[1] COLL WILLIAM & MARY,DEPT MATH,WILLIAMSBURG,VA 23187

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1992年 / 172卷

关键词：

D O I：

10.1016/0024-3795(92)90033-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a classic 1911 paper, I. Schur gave several useful bounds for the spectral norm and eigenvalues of the Hadamard (entrywise) product of two matrices. Motivated by applications to the theory of monotone and convex matrix functions, we are led to consider Hadamard products in which both factors are conformally partitioned block matrices and the entries of one factor are constant within each block. Such products are special cases of a block Kronecker (tensor) product, and it is in this context that we present generalizations of Schur's results.

引用

页码：337 / 346

页数：10

共 4 条

[1] MATRIX COMPLETIONS, NORMS, AND HADAMARD-PRODUCTS
MATHIAS, R
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 117 (04) : 905 - 918
[2] MATRIX TRACE INEQUALITIES INVOLVING SIMPLE, KRONECKER, AND HADAMARD-PRODUCTS
NEUDECKER, H
LIU, SZ
ECONOMETRIC THEORY, 1995, 11 (03) : 669 - 670
[3] The generalizations of schur's theorems on the block kronecker product of hermitian matrices
Lin, Zhixing
Yang, Zhongpeng
Feng, xiaoxia
Chen, Meixiang
International Journal of Applied Mathematics and Statistics, 2013, 50 (20): : 660 - 671
[4] SOME CHARACTERIZATION AND DISTORTION-THEOREMS INVOLVING FRACTIONAL CALCULUS, GENERALIZED HYPERGEOMETRIC-FUNCTIONS, HADAMARD-PRODUCTS, LINEAR-OPERATORS, AND CERTAIN SUBCLASSES OF ANALYTIC-FUNCTIONS
SRIVASTAVA, HM
OWA, S
NAGOYA MATHEMATICAL JOURNAL, 1987, 106 : 1 - 28

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