Results 121 to 130 of about 5,271,349 (211)

On classes of matrices containing M-matrices and hermitian positive semidefinite matrices

Linear Algebra and its Applications, 1984
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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  

Refinements on higher order Weil–Oesterlé bounds via a Serre type argument

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract Weil's theorem gives the most standard bound on the maximum number of points Nq(g)$N_q(g)$ of a curve of genus g$g$ over a finite field Fq$\mathbb {F}_q$. This bound was improved by Ihara and Oesterlé for larger genus. A recent point of view allows one to recover these bounds by solving a sequence of semi‐definite programs, and the first two ...
Emmanuel Hallouin, Philippe Moustrou, Marc Perret   +2 more
wiley   +1 more source

Singular value inequalities for matrices related to convex and concave functions

Journal of Inequalities and Applications
In this note, we give several singular value inequalities involving convex and concave functions, which can be considered as generalizations of Al-Natoor et al.’s results (J. Math. Inequal. 17:581–589, 2023).
Shengyan Ma, Lihong Hu, Xiaohui Fu
doaj   +1 more source

Tree metrics and log‐concavity for matroids

Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.
Abstract We show that a set function ν$\nu$ satisfies the gross substitutes property if and only if its homogeneous generating polynomial Zq,ν$Z_{q,\nu }$ is a Lorentzian polynomial for all positive q⩽1$q \leqslant 1$, answering a question of Eur–Huh.
Federico Ardila‐Mantilla, Sergio Cristancho, Graham Denham, Christopher Eur, June Huh, Botong Wang   +5 more
wiley   +1 more source

Simple Harmonic Motion Analysis of Elastic Structures Using Hamiltonian Simulation via Quantum Singular Value Transformation

International Journal for Numerical Methods in Engineering, Volume 127, Issue 16, 30 August 2026.
ABSTRACT This study proposes a quantum computing algorithm for dynamic structural analysis, assuming the use of quantum computers. Specifically, we apply a quantum algorithm known as Hamiltonian Simulation (HS), which calculates the time evolution of the Schrödinger equation with time‐independent coefficients, to the equations of motion governing the ...
Koya Wagatsuma, Katsuhiro Endo, Kenjiro Terada   +2 more
wiley   +1 more source

Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices

Open Mathematics
This article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert ...
Bani-Ahmad Feras, Rashid Mohammad Hussein Mohammad   +1 more
doaj   +1 more source

On rank estimation in semidefinite matrices [PDF]

This work concerns the problem of rank estimation in semidefinite matrices, having either indefinite or semidefinite matrix estimator satisfying a typical asymptotic normality condition.
Stephen G. Donald, Vladas Pipiras, Natércia Fortuna   +2 more
core  

Preconditioning by an extended matrix technique for convection-diffusion-reaction equations

Journal of Numerical Analysis and Approximation Theory, 2008
In this paper we consider a preconditioning technique for the ill-conditioned systems arising from discretisations of nonsymmetric elliptic boundary value problems.
Aurelian Nicola, Constantin Popa
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On ㏒ majorizations for positive semidefinite matrices [PDF]

Mathematical Inequalities & Applications, 2013
C.-S. Lin, Yeol Je Cho
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