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Which version is used to solve conjugate gradient method of the algorithm of symmetric matrices?

(a) Rayleighs version

(b) Fletcher-Reeves version

(c) Frontal method

(d) Galerkins method

I have been asked this question during an interview.

My question is based upon Conjugate Gradient Method for Equation Solving in chapter Matrix Algebra and Gaussian Elimination of Finite Element Method

1 Answer

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The correct answer is (b) Fletcher-Reeves version

Explanation: We generally present Fletcher-Reeves version of the algorithm of the symmetric matrices in Conjugate gradient method. This method is of algorithm model and also as an iterative method. Conjugate gradient method is unstable with respect to even small perturbations.

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