Some inequalities for the rational power of a nonnegative definite matrix-Reference-Cited by-同舟云学术

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Some inequalities for the rational power of a nonnegative definite matrix

Published:1973-10 Issue:4 Volume:7 Page:347-350
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Au-Yeung Yik-Hoi

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference4 articles.

1. Lineare Scharen orthogonaler Matrizen;Radon;Abh. Sem. Univ. Hamburg,1922

2. Eigenvalues and canonical forms of matrices with quaternion coefficients;Lee,1949

3. Some inequalities for the square root of a positive definite matrix;Bellman;Lin. Alg. Appl.,1968

4. A note on some theorems on simultaneous diagonalization of two hermitian matrices;Au-Yeung,1971

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some further results on Hermitian-matrix inequalities;Linear Algebra and its Applications;1992-01

2. Linear Algebra by Analogy;The American Mathematical Monthly;1991-12

3. Linear Algebra by Analogy;The American Mathematical Monthly;1991-12

4. $A \geq B \geq {0}$ iff $\left( {B^r A^p B^r} \right)^{1/q} \geq B^{\left( {p + 2r} \right)/q} $ for $r \geq {0},p \geq{0},q \geq 1$ with $\left( {1 + 2r} \right)q \geq p + 2r$;Proceedings of the Japan Academy, Series A, Mathematical Sciences;1987-01-01

5. Weighted means and oscillation conditions for second order matrix differential equations;Journal of Differential Equations;1986-02

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