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On Hermitian positive definite solutions of matrix equation X+A*X−2A=I

✍ Scribed by Yuhai Zhang

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
106 KB
Volume
372
Category
Article
ISSN
0024-3795

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✦ Synopsis

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 detail. Some of Ivanov's, Hasanov's and Minchev's results in [Linear Algebra Appl. 326 (2001) 27] are improved.

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