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Siberian Journal of Numerical Mathematics

2015 year, number 4

Normality conditions for semilinear matrix operators of the Stein type

Khakim Dododjanovich Ikramov
Lomonosov Moscow State University, GSP-1, Leninskie Gory, Moscow, 119991, Russian
Keywords: матричное уравнение Стейна, полулинейный оператор, сопряженный оператор, самосопряженность, нормальность, одновременное сингулярное разложение, сопряженно-нормальная матрица, Stein matrix equation, semilinear operator, adjoint operator, self-adjointness, normality, simultaneous singular value decomposition, conjugate-normal matrix

Abstract

Normality conditions are found for the operators associated with the semilinear analogs of the Stein matrix equation, namely, with the equations X A X B = C and  AX*B = C.