Matrix monotonicity and concavity of the principal pivot transform
We prove the (generalized) principal pivot transform is matrix monotone, in the sense of the
Löwner ordering, under minimal hypotheses. This improves on the recent results of Pascoe …
Löwner ordering, under minimal hypotheses. This improves on the recent results of Pascoe …
Monotonicity of the principal pivot transform
JE Pascoe, R Tully-Doyle - Linear Algebra and its Applications, 2022 - Elsevier
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 …
operator, or exchange operator in various contexts) maps matrices with positive imaginary …
ON THE PROPERTIES OF A KIND OF RANDOM MATRICES
TGY Arouna, HJS Inkpé - Far East Journal of Dynamical …, 2023 - pphmjopenaccess.com
ON THE PROPERTIES OF A KIND OF RANDOM MATRICES Page 1 Far East Journal of
Dynamical Systems © 2023 Pushpa Publishing House, Prayagraj, India http://www.pphmj.com …
Dynamical Systems © 2023 Pushpa Publishing House, Prayagraj, India http://www.pphmj.com …
[PDF][PDF] A new low-rank solver for algebraic Riccati equations based on the matrix sign function and principal pivot transforms
P Benner - csc.mpi-magdeburg.mpg.de
A new low-rank solver for algebraic Riccati equations based on the matrix sign function and
principal pivot transforms Page 1 A new low-rank solver for algebraic Riccati equations based …
principal pivot transforms Page 1 A new low-rank solver for algebraic Riccati equations based …