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International Journal of Computer Mathematics Volume 76, 2001 - Issue 3
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Original Articles

On the existence of a positive definite solution of the matrix equation

Salah M. El-Sayed Department of Mathematics, Banha University, Banha, 13518, Egypt
&
Mohamed A. Ramadan Department of Mathematics, Faculty of Science, Menoufia University, EgyptCorrespondence[email protected]
Pages 331-338 | Received 09 Nov 1999, Published online: 19 Mar 2007
 
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Abstract

In this paper, an efficient and numerically stable algorithm for computing the positive definite solution of the nonlinear equation is proposed. Some properties of the solution are discussed as well as the sufficient conditions for the existence are obtained. Numerical examples are given to illustrate the accuracy of the proposed technique, which depend on iterative process

∗On leave to the Scientific Department, Education College for Girls, Al-Qassim, Kingdom of Saudi Arabia

∗On leave to the Scientific Department, Education College for Girls, Al-Qassim, Kingdom of Saudi Arabia

Notes

∗On leave to the Scientific Department, Education College for Girls, Al-Qassim, Kingdom of Saudi Arabia

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