On positive definite solution of a nonlinear matrix equation
Copyright policy )On positive definite solution of a nonlinear matrix equation
AbstractIn this paper, some necessary and sufficient conditions for the existence of the positive definite solutions for the matrix equationX+A*X−αA=Qwith α ∈ (0, ∞) are given. Iterative methods to obtain the positive definite solutions are established and the rates of convergence of the considered methods are obtained. Copyright © 2006 John Wiley & Sons, Ltd.
- Hunan University of Science and Technology China (People's Republic of)
- Banha University Egypt
nonlinear matrix equation, Positive matrices and their generalizations; cones of matrices, convergence, Other matrix algorithms, Matrix equations and identities, positive definite solutions, iterative methods
nonlinear matrix equation, Positive matrices and their generalizations; cones of matrices, convergence, Other matrix algorithms, Matrix equations and identities, positive definite solutions, iterative methods
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