Topic
Tridiagonal matrix algorithm
About: Tridiagonal matrix algorithm is a research topic. Over the lifetime, 1070 publications have been published within this topic receiving 21084 citations.
Papers published on a yearly basis
1 / 2
Papers
TL;DR: In this article, it was shown that the Hadamard product of oscillatory tridiagonal matrices of the same order is a basic oscillatory matrix as a factor, which explains the role of the class of basic oscillator matrices within a class of nonnegative and oscillatory matrices.
1 citations
26 Aug 1996
TL;DR: A fully scalable parallel algorithm is presented for solving symmetric tridiagonal eigenvalue problems using quasi-Laguerre's method and seems to be the best for distributed memory parallel architecture.
Abstract: In this article, a fully scalable parallel algorithm is presented for solving symmetric tridiagonal eigenvalue problems using quasi-Laguerre's method. The algorithm is implemented using PVM and tested on a variety of matrices with a load balancing scheme. Test results show that the algorithm has high parallel efficiency. Compared with other existing algorithms, our algorithm seems to be the best for distributed memory parallel architecture.
1 citations
28 Apr 1991
TL;DR: In this paper a parallel-vector algorithm is introduced to solve periodic tridiagonal linear systems of equations that arise from discretizing second order differential equations with periodic boundary conditions.
Abstract: Periodic tridiagonal linear systems of equations typi- cally arise from discretizing second order differential equations with periodic boundary conditions. In this paper a parallel-vector algorithm is introduced to solve such systems. Implementation of the new algorithm is carried out on an Intel iPSC/2 hypercube with vector processor boards attached to each node processor. It is to be noted that t his algorithm can be extended to solve other periodic banded linear systems.
TL;DR: In this paper, a mathematical model of the thermal influence to the aquatic environment of thermal power plant, which is solved by the Navier-Stokes and temperature equations for an incompressible fluid in a stratified medium, is presented.
Abstract: This paper presents the mathematical model of the thermal influence to the aquatic environment of thermal power plant, which is solved by the Navier-Stokes and temperature equations for an incompressible fluid in a stratified medium. Numerical algorithm based on the projection method which solved with fractional step method. Three dimensional Poisson equation solved with Fourier method with combination of tridiagonal matrix method (Thomas algorithm).
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Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 3 |
| 2024 | 7 |
| 2023 | 11 |
| 2022 | 22 |
| 2021 | 14 |
| 2020 | 11 |