# Conjugate Gradient Algorithm for the Symmetric Arrowhead Solution of Matrix Equation AXB=C

@inproceedings{Wang2017ConjugateGA, title={Conjugate Gradient Algorithm for the Symmetric Arrowhead Solution of Matrix Equation AXB=C}, author={Minghui Wang and Luping Xu and Juntao Zhang}, year={2017} }

- Published 2017

2 A denote the transpose, Moore-Penrose generalized inverse, Frobenius norm and Euclid norm, respectively. For any , m n A B R , , 0 T A B trace B A denotes the inner product of A and B . Therefore, m n R is a complete inner product space endowed with 2 , A A A . For any non-zero matrices 1 2 , , , m n k A A A R , if , T j i i A A trace A 0 j A i j , then it is easy to verify that 1 2 , , , k A A A are linearly independent and orthogonal. Proposition 1. Let… CONTINUE READING

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