The Common Hermitian Solutions of the matrix equations <inline-formula> <mml:math> <mml:mrow> <mml:msub> <mml:mi>B</mml:mi> <mml:mn>2</mml:mn> </mml:msub> <mml:mi>X</mml:mi> <mml:msubsup> <mml:mi>B</mml:mi> <mml:mn>2</mml:mn> <mml:mo>*</mml:mo> </mml:msubsup> <mml:mo>=</mml:mo> <mml:msub> <mml:mi>A</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:mrow> </mml:math> </inline-formula> and <inline-formula> <mml:math> <mml:mrow> <mml:msub> <mml:mi>B</mml:mi> <mml:mn>3</mml:mn> </mml:msub> <mml:mi>X</mml:mi> <mml:msubsup> <mml:mi>B</mml:mi> <mml:mn>3</mml:mn> <mml:mo>*</mml:mo> </mml:msubsup> <mml:mo>=</mml:mo> <mml:msub> <mml:mi>A</mml:mi> <mml:mn>3</mml:mn> </mml:msub> </mml:mrow> </mml:math> </inline-formula> subject to inequality restrictions

Published in: Quaestiones Mathematicae
Volume 48 , issue 8 , 2025 , pages: 1137–1152

DOI: 10.2989/16073606.2025.2466808

Author(s): Zhanshan Wang Northeastern University, P.R. China , Huiting Zhang Northeastern University, P.R. China , Honglin Zou Zhejiang Shuren University, P.R. China

Keywords: Primary: 15A24 , Secondary: 15B57 , Variable substitution , Moore-Penrose generalized inverse , generalized singular value decomposition

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