SERIES EXPANSION OF WEIGHTED PSEUDOINVERSE MATRICES AND ITERATIVE METHODS FOR CALCULATING WEIGHTED PSEUDOINVERSE MATRICES AND WEIGHTED NORMAL PSEUDOSOLUTIONS

摘要

Weighted pseudoinverse matrices are expanded into matrix power series with negative exponents and arbitrary positive parameters. Based on this expansion, iterative methods for evaluating weighted pseudoinverse matrices and weighted normal pseudosolutions are designed and analyzed. The iterative methods for weighted normal pseudosolutions are extended to solving constrained least-squares problems.