Question

Conjugate gradient method is for only _________

(a) Non symmetric matrix

(b) Symmetric matrix

(c) Symmetric and Non symmetric matrix

(d) Identity matrix

The question was asked in class test.

Question is taken from Conjugate Gradient Method for Equation Solving topic in chapter Matrix Algebra and Gaussian Elimination of Finite Element Method

Answer 1

Correct choice is (b) Symmetric matrix

The best I can explain: Conjugate gradient method generally used to solve symmetric matrices. This method is often implemented as an iterative algorithm. Large sparse systems often arise when numerically solving partial differential equations or optimization problems.