Existence and uniqueness of weighted pseudoinverse matrices and weighted normal pseudosolutions with singular weights

• Дата: 2011
• 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 2011
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2700
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

For one of definitions of weighted pseudoinversion with singular weights, necessary and sufficient conditions for the existence and uniqueness are obtained. Expansions of weighted pseudoinverse matrices in matrix power series and matrix power products are obtained. Relationship is established betw...