Necessary and Sufficient Conditions for the Existence of Weighted Singular-Valued Decompositions of Matrices with Singular Weights

• Дата: 2015
• Автори: Galba, E. F., Deineka, V. S., Sergienko, I. V., Галба, Е. Ф., Дейнека, В. С., Сергиенко, И. В.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2015
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1992
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 mat...