Monotonicity of the principal pivot transform
نویسندگان
چکیده
We prove that the principal pivot transform (also known as partial inverse, sweep operator, or exchange operator in various contexts) maps matrices with positive imaginary part to part. show is matrix monotone by establishing Hermitian square representations for and derivative.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2022
ISSN: ['1873-1856', '0024-3795']
DOI: https://doi.org/10.1016/j.laa.2022.02.016