Results 121 to 130 of about 511,937 (269)

Compact Jacobi matrices : from Stieltjes to Krein and $M(a, b)$ [PDF]

, 1996
Walter Van Assche
openalex   +1 more source

On Rakhmanov’s theorem for Jacobi matrices [PDF]

Proceedings of the American Mathematical Society, 2003
We prove Rakhmanov’s theorem for Jacobi matrices without the additional assumption that the number of bound states is finite. This result solves one of Nevai’s open problems.
openaire   +2 more sources

Characterizations of Jacobi sign regular matrices

Linear Algebra and its Applications, 2012
AbstractSeveral characterizations of Jacobi nonsingular sign regular matrices are presented. Moreover, a stable test of O(n) elementary operations is obtained to check if an n×n Jacobi nonsingular matrix is sign regular.
Alvaro Barreras, Juan Manuel Peña
openaire   +2 more sources

Unbounded Jacobi matrices at critical coupling

Journal of Approximation Theory, 2007
AbstractWe consider a class of Jacobi matrices with unbounded coefficients. This class is known to exhibit a first-order phase transition in the sense that, as a parameter is varied, one has purely discrete spectrum below the transition point and purely absolutely continuous spectrum above the transition point.
Serguei Naboko, David Damanik
openaire   +2 more sources

Novel identities for elementary and complete symmetric polynomials with diverse applications

AIMS Mathematics
This article aims to present novel identities for elementary and complete symmetric polynomials and explore their applications, particularly to generalized Vandermonde and special tri-diagonal matrices.
Ahmed Arafat, Moawwad El-Mikkawy
doaj   +1 more source

Jacobi polynomials method for a coupled system of Hadamard fractional Klein–Gordon–Schrödinger equations

Alexandria Engineering Journal
In this work, the Caputo-type Hadamard fractional derivative is utilized to introduce a coupled system of time fractional Klein–Gordon-Schrödinger equations.
M.H. Heydari, M. Razzaghi
doaj  

Combined Matrix of a Tridiagonal Toeplitz Matrix

Axioms
In this work, combined matrices of tridiagonal Toeplitz matrices are studied. The combined matrix is known as the Relative Gain Array in control theory.
Begoña Cantó, Rafael Cantó, Ana Maria Urbano   +2 more
doaj   +1 more source

Romanovski–Jacobi polynomials for the numerical solution of multi-dimensional multi-order time fractional telegraph equations

Results in Physics, 2023
In this paper, the one- and two-dimensional multi-order time fractional telegraph equations are introduced. Two collocation methods based on the one- and two-dimensional Romanovski–Jacobi polynomials are proposed to solve them.
J. Nazari, M.H. Heydari, M. Hosseininia
doaj  

Parallel Inversion of 3D Airborne Transient Electromagnetic Data Using an Approximate Jacobi Matrix

Remote Sensing
In geophysical inversion issues, the Jacobian matrix computation takes the greatest time, and it is the most significant factor limiting the inversion’s calculation speed.
Da Lei, Hao Ren, Ruo Wang, Zhongxing Wang, Changmin Fu   +4 more
doaj   +1 more source

Commuting family of block Jacobi matrices

Computers & Mathematics with Applications, 1997
AbstractThe block Jacobi matrices considered in this paper are a family of block tridiagonal matrices, which are natural extensions of a singular Jacobi matrix in the sense that they are associated with orthogonal polynomials in several variables. We present the basic properties of these matrices.
openaire   +2 more sources