Journal article
Monotonicity of the principal pivot transform
Linear algebra and its applications, v 643, pp 161-165
15 Jun 2022
Abstract
We prove that the principal pivot transform (also known as the partial inverse, sweep operator, or exchange operator in various contexts) maps matrices with positive imaginary part to matrices with positive imaginary part. We show that the principal pivot transform is matrix monotone by establishing Hermitian square representations for the imaginary part and the derivative.
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Details
- Title
- Monotonicity of the principal pivot transform
- Creators
- J.E. Pascoe - University of FloridaRyan Tully-Doyle - California State Polytechnic University
- Publication Details
- Linear algebra and its applications, v 643, pp 161-165
- Publisher
- Elsevier
- Grant note
- 1953963 / DMS (https://doi.org/10.13039/100000121) 1606260 / DMS (https://doi.org/10.13039/100000121) 2055098 / DMS (https://doi.org/10.13039/100000121)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000778170900007
- Scopus ID
- 2-s2.0-85125495082
- Other Identifier
- 991021879785804721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics
- Mathematics, Applied