Results 171 to 180 of about 5,647,728 (213)

Bridging quantum noise and classical electrodynamics with stochastic methods. [PDF]

open access: yesNat Commun
Hitzelhammer F   +9 more
europepmc   +1 more source

Functions Operating on Positive Semidefinite Quaternionic Matrices

open access: yesMonatshefte Fur Mathematik, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Helge Glöckner
exaly   +4 more sources

Singular Values of Differences of Positive Semidefinite Matrices [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2001
Let M n be the space of n × n complex matrices. For $A\in M_n,$ let $s(A)\equiv (s_1(A),\dotsc,\break s_n(A)),$ where $s_1(A)\ge\cdots\ge s_n(A)$ are the singular values of A. We prove that if $A,B\in M_n$ are positive semidefinite, then (i) $s_j(A-B)\le s_j(A\oplus B), j=1,2, . . .
Xingzhi Zhan
exaly   +5 more sources

On Positive Semidefinite Matrices With Known Null Space [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2002
We show how the zero structure of a basis of the null space of a positive semidefinite matrix can be exploited to determine a positive definite submatrix of maximal rank. We discuss consequences of this result for the solution of (constrained) linear systems and eigenvalue problems.
Zlatko Drmač, Peter Arbenz
exaly   +5 more sources

Singular Value and Norm Inequalities Associated With 2 x 2 Positive Semidefinite Block Matrices [PDF]

open access: yesElectronic Journal of Linear Algebra, 2017
This paper aims to give singular value and norm inequalities associated with $2\times 2$ positive semidefinite block ...
Fuad Kittaneh, Aliaa Burqan
exaly   +2 more sources

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