On an iteration method for solving a class of nonlinear matrix equations

SIAM Journal on Matrix Analysis and Applications

Volumn 23, Issue 3, 2002, Pages 632-645

  El Sayed, Salah M ^a   Ran, André C M ^a  

^a Girls College of Education Riyadh   (Saudi Arabia)

Author keywords

Hermitian positive definite matrices; Iteration methods; Matrix equation; Operator monotone functions

Indexed keywords

EID: 0036018627     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479899345571     Document Type: Article

References (17)

1. *
2. Matrix analysis
3. -1A = Q
4. -1 A = I
5. *
6. Iterative solution of two matrix equations
7. -2A = I
8. Existence and comparison theorems for algebraic Riccati equations for continuous- and discrete-time systems
9. Theorems for the existence and computing opositive definite solutions for two nonlinear matrix equations
10. Algorithms for linear-quadratic optimization
11. Recursive algorithms for solving a class of nonlinear matrix equations with applications to certain sensitivity optimization problems
12. Computing the extremal positive definite solutions of a matrix equation
13. -1A = I