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The Conjugate Gradient Method for Solving Linear …

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The Conjugate Gradient Method for SolvingLinear Systems of EquationsMike RamboMentor: Hans de MoorMay 2016Department of Mathematics, Saint Mary s College of CaliforniaContents1 Introduction22 Relevant Definitions and Notation23 Linearization of Partial Differential Equations44 The Mechanisms of the Conjugate Gradient Steepest Descent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Conjugate Directions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Conjugate Gradient Method .

2 Relevant De nitions and Notation Throughout this paper, the following de nitions and terminology will be utilized for the cg-method. De ntion 2.1.Partial Di erential Equations (PDEs): an equation in which the solution is a function which has two or more independent variables. Remark. The cg-method is utilized to estimate solutions to linear PDEs.

  Linear, Methods, Solving, Equations, Conjugate, Derating, Conjugate gradient method for solving linear

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