TY - JOUR
AU - E. F. Galba
AU - V. S. Deineka
AU - I. V. Sergienko
PY - 2015/03/25
Y2 - 2022/10/02
TI - Necessary and Sufficient Conditions for the Existence of Weighted Singular-Valued Decompositions of Matrices with Singular Weights
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 67
IS - 3
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1992
AB - A weighted singular-valued decomposition of matrices with singular weights is obtained by using orthogonal matrices. The necessary and sufficient conditions for the existence of the constructed weighted singular-valued decomposition are established. The indicated singular-valued decomposition of matrices is used to obtain a decomposition of their weighted pseudoinverse matrices and decompose them into matrix power series and products. The applications of these decompositions are discussed.
ER -