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• W2916868536 abstract "In this paper, based on a complex global Lanczos process, a shifted complex global Lanczos method is proposed to solve the Stein-conjugate matrix equation X+AX¯B=C. The new method adopts the shifted technique and is implemented by the original coefficient matrices. The direct version of the proposed method is derived by exploiting the special structure of the LU factorization. Moreover, the quasi-minimal residual variant is developed to stabilize the convergence behavior. Finally, some numerical examples are given to illustrate the effectiveness with comparison to some existing methods." @default.
• W2916868536 created "2019-03-02" @default.
• W2916868536 creator A5052126480 @default.
• W2916868536 creator A5065782725 @default.
• W2916868536 date "2019-09-01" @default.
• W2916868536 modified "2023-10-18" @default.
• W2916868536 title "A shifted complex global Lanczos method and the quasi-minimal residual variant for the Stein-conjugate matrix equation<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline overflow=scroll id=d1e418 altimg=si3.gif><mml:mi>X</mml:mi><mml:mo>+</mml:mo><mml:mi>A</mml:mi><mml:mover accent=false class=mml-overline><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mo accent=true>¯</mml:mo></mml:mover><mml:mi>B</mml:mi><mml:mo>=</mml:mo><mml:mi>C</mml:mi></mml:math>" @default.
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• W2916868536 doi "https://doi.org/10.1016/j.cam.2019.02.009" @default.
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