✦ LIBER ✦

Perturbation analysis for the positive definite solution of the nonlinear matrix equation(X-sum_{i=1}^{m} A_{i}^{*}X^{-1}A_{i}=Q)

✍ Scribed by Yin, Xiaoyan; Fang, Liang

Book ID: 120386127
Publisher: Springer-Verlag
Year: 2013
Tongue: English
Weight: 509 KB
Volume: 43
Category: Article
ISSN: 1598-5865
DOI: 10.1007/s12190-013-0659-z

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the Hermitian positive definite solut

On the Hermitian positive definite solutions of nonlinear matrix equation Xs+∑i=1mAi∗X-tiAi=Q

✍ Liu, Aijing; Chen, Guoliang 📂 Article 📅 2014 🏛 Elsevier Science 🌐 English ⚖ 382 KB

On the existence of a positive definite

On the existence of a positive definite solution of the matrix equation X+ATX−1A= I

✍ Jacob C. Engwerda 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 852 KB

Some properties for the existence of a p

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

✍ Salah M. El-Sayed; Mahmoud El-Alem 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 92 KB

Perturbation analysis of the Hermitian p

Perturbation analysis of the Hermitian positive definite solution of the matrix equation X − A*X−2A = I

✍ Mingsong Cheng; Shufang Xu 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 235 KB

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

Perturbation analysis of the matrix equa

Perturbation analysis of the matrix equation X=Q+AH(X−C)−1A

✍ Ji-guang Sun 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 160 KB

Consider the nonlinear matrix equation where Q is an n × n Hermitian positive definite matrix, C is an mn × mn Hermitian positive semidefinite matrix, A is an mn × n matrix, and X is the m × m block diagonal matrix defined by X = diag(X, X, . . . , X), in which X is an n × n matrix. This matrix equ