Abstract. The paper considers weighted pseudoinverse matrix, when both weighted matrices are symmetric and one of them is positive definite matrix and the other is nonsingular and indefinite. Formulas are obtained for representing these matrices in terms of the pseudoinverse Moore–Penrose matrix and other weighted pseudoinverse matrices.
Keywords: weighted pseudoinverse matrices with indefinite weights, Moore– Penrose pseudoinverse matrices, weighted pseudoinverse matrices with mixed weights.
1 V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine,
e-mail: e.f.galba@ukr.net.
2 V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine,
e-mail: nvareniuk@ukr.net.