Some inequalities for the square root of a positive definite matrix
نویسندگان
چکیده
منابع مشابه
Some numerical radius inequalities with positive definite functions
Using several examples of positive definite functions, some inequalities for the numerical radius of matrices are investigated. Also, some open problems are stated.
متن کاملextensions of some polynomial inequalities to the polar derivative
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15 صفحه اولPositive definite solutions of some matrix equations
In this paper we investigate some existence questions of positive semi-definite solutions for certain classes of matrix equations known as the generalized Lyapunov equations. We present sufficient and necessary conditions for certain equations and only sufficient for others. © 2008 Elsevier Inc. All rights reserved. AMS classification: 15A24; 15A48; 42A82; 47A62
متن کاملOn Matrix Valued Square Integrable Positive Definite Functions
In this paper, we study matrix valued positive definite functions on a unimodular group. We generalize two important results of Godement on L positive definite functions to matrix valued L positive definite functions. We show that a matrix-valued continuous L positive definite function can always be written as a convolution of a L positive definite function with itself. We also prove that, give...
متن کاملsome numerical radius inequalities with positive definite functions
using several examples of positive definite functions, some inequalities for the numerical radius of matrices are investigated. also, some open problems are stated.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1968
ISSN: 0024-3795
DOI: 10.1016/0024-3795(68)90011-6