STEFFENSEN METHOD FOR SOLVING NONLINEAR MATRIX EQUATION X + ATX-1A = Q

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NAZARI A.; SAYEHVAND KH.; ROSTAMI M.

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ISSN: 2588-4824

Journal Paper

Paper Information

Journal: Journal of Linear and Topological Algebra Year:2014 | Volume:3 | Issue:4 Page(s): 231-247

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Title

STEFFENSEN METHOD FOR SOLVING NONLINEAR MATRIX EQUATION X + ATX-1A = Q

Author(s)

NAZARI A. | SAYEHVAND KH. | ROSTAMI M. | Issue Writer Certificate

Keywords

FIXED POINT METHOD

STEFFENSEN METHOD

NONLINEAR MATRIX EQUATIONS

Abstract

In this article we study STEFFENSEN METHOD to solve nonlinear matrix equation X + ATX-1A = Q when A is a normal matrix. We establish some conditions that generate a sequence of positive definite matrices which converges to solution of this equation.

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APA: Copy

NAZARI, A., SAYEHVAND, KH., & ROSTAMI, M.. (2014). STEFFENSEN METHOD FOR SOLVING NONLINEAR MATRIX EQUATION X + A^TX^-1A = Q. JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, 3(4), 231-247. SID. https://sid.ir/paper/335615/en

Vancouver: Copy

NAZARI A., SAYEHVAND KH., ROSTAMI M.. STEFFENSEN METHOD FOR SOLVING NONLINEAR MATRIX EQUATION X + A^TX^-1A = Q. JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA[Internet]. 2014;3(4):231-247. Available from: https://sid.ir/paper/335615/en

IEEE: Copy

A. NAZARI, KH. SAYEHVAND, and M. ROSTAMI, “STEFFENSEN METHOD FOR SOLVING NONLINEAR MATRIX EQUATION X + A^TX^-1A = Q,” JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, vol. 3, no. 4, pp. 231–247, 2014, [Online]. Available: https://sid.ir/paper/335615/en

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