Results 101 to 110 of about 23,326 (218)

Algorithm 470: linear systems with almost tridiagonal matrix [F4] [PDF]

, 1973
Milan Kubı́ček
openalex   +1 more source

Parallel Gaussian elimination of a block tridiagonal matrix using multiple microcomputers [PDF]

The solution of a block tridiagonal matrix using parallel processing is demonstrated. The multiprocessor system on which results were obtained and the software environment used to program that system are described.
Blech, Richard A.
core   +2 more sources

Symmetric Tridiagonal Eigenvalue Solver Across CPU Graphics Processing Unit (GPU) Nodes

Applied Sciences
In this work, an improved and scalable implementation of Cuppen’s algorithm for diagonalizing symmetric tridiagonal matrices is presented. This approach uses a hybrid-heterogeneous parallelization technique, taking advantage of GPU and CPU in a ...
Erika Hernández-Rubio, Alberto Estrella-Cruz, Amilcar Meneses-Viveros, Jorge Alberto Rivera-Rivera, Liliana Ibeth Barbosa-Santillán, Sergio Víctor Chapa-Vergara   +5 more
doaj   +1 more source

Fast numerical algorithms for solving opposite-bordered tridiagonal Toeplitz linear systems and their applications

Results in Applied Mathematics
This paper presents two fast numerical algorithms for solving opposite-bordered tridiagonal Toeplitz linear systems. Both algorithms are designed to solve a system of n equations in linear time.
Hcini Fahd
doaj  

Inhomogeneous isotropic quantum spin chain associated with the difference Lamé equation

Forum of Mathematics, Sigma
The spectrum and orthogonal eigenbasis are computed of a tridiagonal matrix encoding a finite-dimensional reduction of the difference Lamé equation at the single-gap integral value of the coupling parameter.
Jan Felipe van Diejen
doaj   +1 more source

On Diophantine equations involving Lucas sequences

Open Mathematics, 2019
In this paper, we shall study the Diophantine equation un = R(m)P(m)Q(m), where un is a Lucas sequence and R, P and Q are polynomials (under weak assumptions).
Trojovský Pavel
doaj   +1 more source

A fourth-order arithmetic average compact finite-difference method for nonlinear singular elliptic PDEs on a 3D smooth quasi-variable grid network. [PDF]

MethodsX, 2023
Jha N, Singh B.
europepmc   +1 more source

Convergence of LR algorithm for a one-point spectrum tridiagonal matrix [PDF]

, 2009
Carla Ferreira, Beresford Ν. Parlett
openalex   +1 more source

Invariant regions and global solutions for reaction-diffusion systems with a tridiagonal symmetric Toeplitz matrix of diffusion coefficients

Electronic Journal of Differential Equations, 2014
In this article we construct the invariant regions for m-component reaction-diffusion systems with a tridiagonal symmetric Toeplitz matrix of diffusion coefficients and with nonhomogeneous boundary conditions.
Salem Abdelmalek
doaj  

Two optimized novel potential formulas and numerical algorithms for [Formula: see text] cobweb and fan resistor networks. [PDF]

Sci Rep, 2023
Zhao W, Zheng Y, Jiang X, Jiang Z.
europepmc   +1 more source