Weighted pseudoinversion with indefinite weights

• Date: 2018
• Main Authors: Vareniuk, N. A., Galba, E. F., Sergienko, I. V., Khimich, A. N., Варенюк, Н. А., Галба, Е. Ф., Сергиенко, И. В., Химич, А. Н.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1593
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We present the definition of weighted pseudoinverse matrices with nonsingular indefinite weights and study these matrices. The theorems on existence and uniqueness for these matrices are proved. Weighted pseudoinverse matrices with indefinite weights are represented in terms of the coefficients of c...