General Letters in Mathematics

Related Articles ( Steepest Descent Method, Positive Definite Matrices, Matrix Condition Number, and Systems of Linear Equations )

New search direction of steepest descent method for solving large linear systems

Ayad Ramadhan Ali , Bayda Ghanim Fathi

The steepest descent (SD) method is well-known as the simplest method in optimization. In this paper, we propose a new SD search direction for solving system of linear equations Ax = b. We also prove that the proposed SD method with exact line search satisfies descent condition and possesses global ...

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