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Some properties for the existence of a positive definite solution of matrix equation X+A★X−2mA=I

✍ Scribed by Salah M. El-Sayed; Mahmoud El-Alem

Book ID
108395519
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
92 KB
Volume
128
Category
Article
ISSN
0096-3003

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📜 SIMILAR VOLUMES

Properties of positive definite solution
Properties of positive definite solutions of the equation X + A∗X−2A = I
✍ Ivan G. Ivanov; Salah M. El-sayed 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 554 KB

In this Paper we discuss some properties of a positive definite Solution of the matrix equation X + A'X-'A = 1. Two effective iterative methods for computing a positive definite Solution of this equation are proposed. Necessary and sufficient conditions for existente of a positive definite Solution

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On Hermitian positive definite solutions of matrix equation X+A*X−2A=I
✍ Yuhai Zhang 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 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