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The conjugate gradient method as applied to electromagnetic field problems

Tapan K. Sarkar

Open publisher page 26 citations

Abstract

The conjugate gradient method is developed for the solution of an arbitary operator equation. The fundamental differences between the conjugate gradient method and the conventional matrix methods, denoted by the generic name "method of moments" are also outlined. One of the major advantages of the conjugate gradient method is that a clearcut exposition on the nature of convergence can be defined. Numerical results are presented to illustrate the efficiency of this method and the FFT for certain special classes of problems.

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What this paper is about

The conjugate gradient method is developed for the solution of an arbitary operator equation. The fundamental differences between the conjugate gradient method and the conventional matrix methods, denoted by the generic name "method of moments" are also outlined. One of the major advantages of the conjugate gradient method is that a clearcut exposition on the nature of convergence can be defined. Numerical results are presented to illustrate the efficiency of this method and the FFT for certain special classes of problems.

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OpenAlex reports 26 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The conjugate gradient method is developed for the solution of an arbitary operator equation. The fundamental differences between the conjugate gradient method and the conventional matrix methods, denoted by the generic name "method of moments" are also outlined. One of the major advantages of the conjugate gradient method is that a clearcut exposition on the nature of convergence can be defined. Numerical results are presented to illustrate the efficiency of this method and the FFT for certain special classes of problems.

Key concepts: Conjugate gradient method, Derivation of the conjugate gradient method, Conjugate residual method, Nonlinear conjugate gradient method, Biconjugate gradient stabilized method, Biconjugate gradient method, Conjugate, Gradient method

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