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Some investigation on Hermitian positive-definite solutions of a nonlinear matrix equation

โœ Scribed by Pei, Weijuan; Wu, Guoxing; Zhou, Duanmei; Liu, Yitian

Book ID
120628447
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
174 KB
Volume
91
Category
Article
ISSN
0020-7160

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๐Ÿ“œ SIMILAR VOLUMES

Some investigation on Hermitian positive
Some investigation on Hermitian positive definite solutions of the matrix equation
โœ Jing Cai; Guoliang Chen ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 162 KB

In this paper, the Hermitian positive definite solutions of the matrix equation X s + A \* X -t A = Q are considered, where Q is an Hermitian positive definite matrix, s and t are positive integers. Necessary and sufficient conditions for the existence of an Hermitian positive definite solution are

On Hermitian positive definite solution
On Hermitian positive definite solution of the matrix equation
โœ Xuefeng Duan; Anping Liao ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 506 KB

A conjecture that the nonlinear matrix equation always has a unique Hermitian positive definite solution is proved. Some bounds of the unique Hermitian positive definite solution are given.

On Hermitian positive definite solutions
On Hermitian positive definite solutions of matrix equation X+A*Xโˆ’2A=I
โœ Yuhai Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 106 KB

The Hermitian positive definite solutions of the matrix equation X + A \* X -2 A = I are studied. A necessary and sufficient condition for existence of solutions is given in case A is normal. The basic fixed point iterations for the equation in case A is nonnormal with A are discussed in some detai