Results 121 to 130 of about 5,647,728 (213)

Graphs of Unitary Matrices and Positive Semidefinite Zero Forcing

, 2013
The possible zero/nonzero patterns of unitary matrices are of interest in quantum evolution and the study of quantum systems on graphs. In particular, a quantum random walk can be defined on a directed graph if and only if that graph is associated with a
Mitchell, Lon, Lins, Brian, Larson, Craig   +2 more
core   +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

Optimal solution of the nearest correlation matrix problem by minimization of the maximum norm [PDF]

The nearest correlation matrix problem is to find a valid (positive semidefinite) correlation matrix, R(m,m), that is nearest to a given invalid (negative semidefinite) or pseudo-correlation matrix, Q(m,m); m larger than 2.
Mishra, SK
core  

Simply Exponential Approximation of the Permanent of Positive Semidefinite Matrices

, 2018
I will present a deterministic polynomial time c^n approximation algorithm for the permanent of positive semidefinite matrices where c ~ 4.84. This is through a natural convex programming relaxation and proving a PSD variation of the Van der Waerden's ...
Saberi, Amin
core   +1 more source

Regularization-Free Estimation in Trace Regression with Symmetric Positive Semidefinite Matrices

, 2015
Trace regression models have received considerable attention in the context of matrix completion, quantum state tomography, and compressed sensing.
Hein, Matthias, Matthias Hein, Li, Ping, Ping Li, Slawski, Martin, Martin Slawski   +5 more
core  

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

Bioinformatics
Skums P.
europepmc   +1 more source

Affine processes on positive semidefinite matrices

This article provides the mathematical foundation for stochastically continuous affine processes on the cone of positive semidefinite symmetric matrices.
Damir Filipovi\'c, Christa Cuchiero, Eberhard Mayerhofer, Josef Teichmann   +3 more
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

A Quantum-Inspired Residual Self-Attention Network for Multimodal Sentiment Analysis. [PDF]

Entropy (Basel)
Liu Y, Feng X, Zhong Y.
europepmc   +1 more source

Large-scale semidefinite programming with graphics processing units. [PDF]

Proc Natl Acad Sci U S A
Han Q, Lin Z, Liu H, Chen C, Deng Q, Ge D, Ye Y.   +6 more
europepmc   +1 more source