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- W2023403653 abstract "This note considers the solution to the generalized Sylvester matrix equation AV+BW=EVF with F being an arbitrary matrix, where V and W are the matrices to be determined. With the help of the Kronecker map, some properties of the Sylvester sum are first proposed. By applying the Sylvester sum as tools, an explicit parametric solution to this matrix equation is established. The proposed solution is expressed by the Sylvester sum, and allows the matrix F to be undetermined." @default.
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- W2023403653 date "2008-10-01" @default.
- W2023403653 modified "2023-10-07" @default.
- W2023403653 title "Solving the generalized Sylvester matrix equation <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:mstyle mathvariant=italic><mml:mi>AV</mml:mi></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle mathvariant=italic><mml:mi>BW</mml:mi></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle mathvariant=italic><mml:mi>EVF</mml:mi></mml:mstyle></mml:math> via a Kronecker map" @default.
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- W2023403653 doi "https://doi.org/10.1016/j.aml.2007.12.004" @default.
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