Results 101 to 110 of about 3,218 (198)

Explicit solution for an infinite dimensional generalized inverse eigenvalue problem

International Journal of Mathematics and Mathematical Sciences, 2001
We study a generalized inverse eigenvalue problem (GIEP), Ax=λBx, in which A is a semi-infinite Jacobi matrix with positive off-diagonal entries ci>0, and B= diag (b0,b1,…), where bi≠0 for i=0,1,….
Kazem Ghanbari
doaj   +1 more source

Unitary ensembles with a critical edge point, their multiplicative statistics, and the Korteweg‐de‐Vries hierarchy

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the multiplicative statistics associated to the limiting determinantal point process describing eigenvalues of unitary random matrices with a critical edge point, where the limiting eigenvalue density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the Korteweg‐de‐Vries (KdV ...
Mattia Cafasso, Carla Mariana da Silva Pinheiro   +1 more
wiley   +1 more source

A class of matrix-valued polynomials generalizing Jacobi polynomials

Journal of Approximation Theory, 2009
A hierarchy of matrix-valued polynomials which generalize the Jacobi polynomials is found. Defined by a Rodrigues formula, they are also products of a sequence of differential operators. Each class of polynomials is complete, satisfies a two-step recurrence relation, integral inter-relations, and quasi-orthogonality relations.
openaire   +3 more sources

Discrete analogues of second‐order Riesz transforms

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Discrete analogues of classical operators in harmonic analysis have been widely studied, revealing deep connections with areas such as ergodic theory and analytic number theory. This line of research is commonly known as Discrete Analogues in Harmonic Analysis (DAHA).
Rodrigo Bañuelos, Daesung Kim
wiley   +1 more source

Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan, Francesco Pediconi, Sammy Sbiti   +2 more
wiley   +1 more source

The Matrix Representations of Centroids for Low-Dimensional Mock-Lie Algebras

Journal of Mathematics
Mock-Lie algebras, a unique class of commutative algebras that satisfy the Jacobi identity, are gaining attention for their potential applications in various mathematical contexts.
Yue Zhu, Keli Zheng
doaj   +1 more source

The Smith normal form of a specialized Jacobi–Trudi matrix

European Journal of Combinatorics, 2017
5 pages, 2 ...
openaire   +2 more sources

On the optimal selection of the relaxation constant in the JOR method

Journal of Numerical Analysis and Approximation Theory, 2003
In this paper we suggest a method for the quasi-optimal selection of the relaxation constant in the Jacobi overrelaxation (JOR) method. It is assumed that the eigenvalues of the coefficient matrix belong to a rectangular region. Our estimates may lead to
Slobodan Lakić, Ferenc Szidarovszky
doaj   +2 more sources

СПОСІБ РЕАЛІЗАЦІЇ ОБЧИСЛЮВАЛЬНИХ СХЕМ РОЗРАХУНКУ МАТРИЦІ ЯКОБІ РІШЕННЯ ДИФЕРЕНЦІАЛЬНОГО РІВНЯННЯ НА ОСНОВІ БАГАТОВИМІРНИХ ДИФЕРЕНЦІАЛЬНИХ ПЕРЕТВОРЕНЬ

Sučasnì Informacìjnì Tehnologìï u Sferì Bezpeki ta Oboroni, 2015
Пропонується спосіб розробки алгоритму, який реалізує числово-аналітичну обчислювальну схему розрахунку матриці Якобі рішення звичайного диференційного рівняння за його початковими умовами і параметрами, які входять до його правої частини.
Mykhailo Y. Rakushev, Maksym H. Tyschenko   +1 more
doaj  

A numerical method based on the shifted Jacobi polynomials for a class of tempered fractional quadratic integro-differential equations

Results in Applied Mathematics
This paper introduces a new class of tempered fractional quadratic integro-differential equations using the Caputo fractional derivative. The existence and uniqueness of solutions to these equations are analyzed.
P. Senfiazad, M.H. Heydari, M. Bayram, D. Baleanu   +3 more
doaj   +1 more source