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

• Date: 2011
• Main Authors: Galba, E. F., Deineka, V. S., Sergienko, I. V., Галба, Е. Ф., Дейнека, В. С., Сергиенко, И. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2700
• Journal Title: 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...