Results 131 to 140 of about 5,271,349 (211)

More inequalities for positive semidefinite matrices

The Electronic Journal of Linear Algebra
In this paper, we first present a necessary and sufficient condition for a class of block matrices to be positive semidefinite. Second, we demonstrate the significance of a known inequality (as presented in [5]) through a norm inequality. Finally, utilizing the polar decomposition, we provide a functional version of a singular value inequality.
Feng Zhang, Hefang Jing
openaire   +1 more source

Mixed discriminants of positive semidefinite matrices

Linear Algebra and its Applications, 1989
If \(A^ k=(a^ k_{ij})\) are \(n\times n\) complex matrices \(k=1,2,...,n\), then their mixed discriminant \(D(A^ 1,...,A^ n)\) is \(\frac{1}{n!}\sum_{\sigma \in S_ n}\det (a_{ij}^{\sigma (j)})\), where \(S_ n\) is the symmetric group of degree n. If all the \(A^ k\) are equal this turns out to be det A, whereas if each \(A^ k\) is a diagonal matrix the
openaire   +1 more source

An Inequality for Positive Semidefinite Hermitian Matrices⁽¹⁾

, 1974
Let A and B be positive semidefinite Hermitian n-square matrices. If A—B is positive semidefinite, write A≥B. Haynsworth [1] has proved that if A≥B then det(A+B)≥det A+n det B.Let G be a subgroup of the symmetric group, Sn, and let λ be a character on G.
Russell Merris
core   +1 more source

On classes of matrices containing M-matrices, totally nonnegative and hermitian positive semidefinite matrices

, 1982
Mehrmann V. On classes of matrices containing M-matrices, totally nonnegative and hermitian positive semidefinite matrices.
Mehrmann, Volker
core  

Near-Frustration-Free Electronic Structure Hamiltonian Representations and Lower-Bound Certificates. [PDF]

J Chem Theory Comput
Rubin NC, Low GH, DePrince Iii AE.
europepmc   +1 more source

Phylogenetic inference under the balanced minimum evolution criterion via semidefinite programming. [PDF]

Bioinformatics
Skums P.
europepmc   +1 more source

Constrained shadow tomography for molecular simulation on quantum devices. [PDF]

Chem Sci
Avdic I, Wang Y, Rose M, Payne Torres LI, Schouten AO, Sung KJ, Mazziotti DA.   +6 more
europepmc   +1 more source

Two datasets are better than one: method of double moments for 3D reconstruction in cryo-EM. [PDF]

Inverse Probl
Kileel J, Mickelin O, Singer A, Xu S.
europepmc   +1 more source

Mobility-Aware ISAC-Assisted Cooperative Jamming for Secure Vehicular URLLC. [PDF]

Sensors (Basel)
Michailidis ET, Tsiftsis TA, Miridakis NI.   +2 more
europepmc   +1 more source

Platonic Projection Structures: Operator-Induced Observability in Representation Learning. [PDF]

Entropy (Basel)
Ishii K, Gautam BP, Wu J, Saher J.
europepmc   +1 more source