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Volumn 80, Issue 12, 2003, Pages 1527-1534

An algorithm for computing positive definite solutions of the nonlinear matrix equation X + A*X-1A = I

Author keywords

Convergence of sequences; Iteration methods; Nonlinear matrix equation; Positive definite matrix

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; MATRIX ALGEBRA; NONLINEAR EQUATIONS;

CONVERGENCE SEQUENCES; ITERATION METHODS; NONLINEAR MATRIX EQUATIONS; POSITIVE DEFINITE MATRIX;

ALGORITHMS;

EID: 28344437075 PISSN: 00207160 EISSN: 10290265 Source Type: Journal
DOI: 10.1080/00207160310001603316 Document Type: Article

Times cited : (14)

References (14)

1
- 0002627668
- -1B*
- -1B*, Linear Algebra Appl., 134 (1990) 53-62.
- (1990) Linear Algebra Appl. , vol.134 , pp. 53-62
- Anderson Jr., W.N.¹ Morley, T.D.² Trapp, G.E.³

2
- 21144477295
- -1 A = Q
- -1 A = Q, Linear Algebra Appl., 186 (1993) 255-275.
- (1993) Linear Algebra Appl. , vol.186 , pp. 255-275
- Engwerda, J.C.¹ Andre Ran, C.M.² Rijkeboer, A.L.³

3
- 33846609846
- -1 A = I
- -1 A = I, Linear Algebra Appl., 194 (1993) 91-108.
- (1993) Linear Algebra Appl. , vol.194 , pp. 91-108
- Engwerda, J.C.¹

4
- 0033443128
- Iterative solution of two matrix equations
- C.-H. Guo and P. Lancaster, Iterative solution of two matrix equations, The Mathematics of Computation, 68 (1999) 1589-1603.
- (1999) The Mathematics of Computation , vol.68 , pp. 1589-1603
- Guo, C.-H.¹ Lancaster, P.²

5
- 0043081344
- -2A = i
- -2A = I, Linear Algebra and Appl., 279 (1998) 303-316.
- (1998) Linear Algebra and Appl. , vol.279 , pp. 303-316
- Ivanov, I.G.¹ El-Sayed, S.M.²

6
- 0004074291
- Clarendon Press, Oxford
- P. Lancaster and L. Rodman, Algebraic Riccati Equations, Clarendon Press, Oxford (1995).
- (1995) Algebraic Riccati Equations
- Lancaster, P.¹ Rodman, L.²

7
- 0004293156
- Academic Press, New York
- P. Lancaster, Theory of Matrices, Academic Press, New York (1969).
- (1969) Theory of Matrices
- Lancaster, P.¹

8
- 0034831727
- -1 A = I
- -1 A = I, Computers & Mathematics with Appl., 41 (2001) 579-588.
- (2001) Computers & Mathematics with Appl. , vol.41 , pp. 579-588
- El-Sayed, S.M.¹

9
- 0036018627
- On the iteration methods for solving a class of nonlinear matrix equations
- S. M. El-Sayed and C. M. Andre Ran, On the iteration methods for solving a class of nonlinear matrix equations, SIAM J. Matrix Anal Appl., 23 (2001) 632-645.
- (2001) SIAM J. Matrix Anal Appl. , vol.23 , pp. 632-645
- El-Sayed, S.M.¹ Andre Ran, C.M.²

10
- 0034428866
- -1 A = i
- -1 A = I, Inter. J. Comput. Math., 76 (2001) 331-338.
- (2001) Inter. J. Comput. Math. , vol.76 , pp. 331-338
- El-Sayed, S.M.¹ Ramadan, M.A.²

11
- 0037052595
- -2m A = i
- -2m A = I, Appl. Math. Comput., 128(1) (2002) 99-108.
- (2002) Appl. Math. Comput. , vol.128 , Issue.1 , pp. 99-108
- El-Sayed, S.M.¹ El-Alem, M.²

12
- 33747347805
- Two sided iteration methods for computing positive definite solutions of a nonlinear matrix equation
- S. M. El-Sayed, Two sided iteration methods for computing positive definite solutions of a nonlinear matrix equation, J. Australian Mathematical Society, Series B, 45 (2003) 145-152.
- (2003) J. Australian Mathematical Society, Series B , vol.45 , pp. 145-152
- El-Sayed, S.M.¹

13
- 0030492598
- -1 A = I
- -1 A = I, Linear Algebra Appl, 247 (1996) 337-345.
- (1996) Linear Algebra Appl , vol.247 , pp. 337-345
- Zhan, X.¹ Xie, J.²

14
- 0000593006
- Computing the extremal positive definite solutions of a matrix equation
- X. Zhan, Computing the extremal positive definite solutions of a matrix equation, SIAM J. Sci. Comput., 17 (1996) 1167-1174.
- (1996) SIAM J. Sci. Comput. , vol.17 , pp. 1167-1174
- Zhan, X.¹

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