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- W2095403710 abstract "This paper gives some closed-form formulas for computing the maximal and minimal ranks and inertias of P−X with respect to X, where P∈CHn is given, and X is a Hermitian least squares solution to the matrix equation AXB=C. We derive, as applications, necessary and sufficient conditions for X⩾(⩽,>,<)P in the Löwner partial ordering. In addition, we give necessary and sufficient conditions for the existence of a Hermitian positive (negative, nonpositive, nonnegative) definite least squares solution to AXB=C." @default.
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- W2095403710 date "2012-09-01" @default.
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- W2095403710 title "A Hermitian least squares solution of the matrix equation <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:mi>A</mml:mi><mml:mi>X</mml:mi><mml:mi>B</mml:mi><mml:mo>=</mml:mo><mml:mi>C</mml:mi></mml:math> subject to inequality restrictions" @default.
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- W2095403710 doi "https://doi.org/10.1016/j.camwa.2012.02.010" @default.
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