Some properties for the existence of a positive definite solution of matrix equation X+A*X-2(m)A=I

Applied Mathematics and Computation

Volumn 128, Issue 1, 2002, Pages 99-108

  El Sayed, Salah M ^a   El Alem, Mahmoud ^b  

^a BENHA UNIVERSITY   (Egypt)

^b Alexandria University Faculty Of Science   (Egypt)

Author keywords

Iteration methods; Nonlinear matrix equation; Positive definite matrices

Indexed keywords

COMPUTATIONAL METHODS; ITERATIVE METHODS; MATRIX ALGEBRA; PROBLEM SOLVING;

NONLINEAR MATRIX EQUATIONS;

NONLINEAR EQUATIONS;

EID: 0037052595     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(01)00019-4     Document Type: Article

References (9)

1. -1B*
2. -1A=Q
3. -1A=I
4. -2A=I
5. Theorems for the existence and computing of positive definite solutions for two nonlinear matrix equations
6. Positive definite solutions of a family of nonlinear matrix equation
7. Recursive algorithms for solving a class of nonlinear matrix equations with applications to certain sensitivity optimization problems