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- W2963015231 abstract "Many applications in applied mathematics and control theory give rise to the unique solution of a Sylvester-like matrix equation associated with an underlying structured matrix operator f. In this paper, we will discuss the solvability of the Sylvester-like matrix equation through an auxiliary standard (or generalized) Sylvester matrix equation. We also show that when this Sylvester-like matrix equation is uniquely solvable, the closed-form solutions can be found by using previous result. In addition, with the aid of the Kronecker product some useful results of the solvability of this matrix equation are provided." @default.
- W2963015231 created "2019-07-30" @default.
- W2963015231 creator A5008478624 @default.
- W2963015231 date "2016-03-01" @default.
- W2963015231 modified "2023-09-28" @default.
- W2963015231 title "On the Sylvester-like matrix equation <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si0001.gif overflow=scroll><mml:mi mathvariant=italic>AX</mml:mi><mml:mo>+</mml:mo><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>X</mml:mi><mml:mo>)</mml:mo><mml:mi>B</mml:mi><mml:mo>=</mml:mo><mml:mi>C</mml:mi></mml:math>" @default.
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- W2963015231 doi "https://doi.org/10.1016/j.jfranklin.2015.03.024" @default.
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