Tridiagonal Matrix Algorithm

Version 6.0.1 (254 KB) by Tamas Kis
Solves the tridiagonal linear system Ax = d for x using two separate implementations of the tridiagonal matrix algorithm.
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Updated 23 Oct 2022
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Tridiagonal Matrix Algorithm View Tridiagonal Matrix Algorithm on File Exchange



tridiagonal_matrix

Solves the tridiagonal linear system for using the matrix implementation of the tridiagonal matrix algorithm.

Syntax

x = tridiagonal_matrix(A,d)

Description

x = tridiagonal_matrix(A,d) solves the tridiagonal linear system for , where is a tridiagonal matrix and .



tridiagonal_vector

Solves the tridiagonal linear system for using the vector implementation of the tridiagonal matrix algorithm.

Syntax

x = tridiagonal_vector(a,b,c,d)

Description

x = tridiagonal_vector(a,b,c,d) solves the tridiagonal linear system for , where is a tridiagonal matrix defined using the tridiagonal vectors (, , and ) and where .



Tridiagonal Matrix Convention

For these implementations, I use the following convention for denoting the elements of the tridiagonal matrix :

Most other references have 's ranging from to both in the definition of the tridiagonal matrix and in the algorithm used to solve the corresponding linear system. In this implementation, I have the 's ranging from to ; this makes the algorithm slightly more straightforward to implement.



Examples and Additional Documentation

  • See "EXAMPLES.mlx" or the "Examples" tab on the File Exchange page for examples.
  • See "Tridiagonal_Matrix_Algorithm.pdf" (also included with download) for the technical documentation.

Cite As

Tamas Kis (2024). Tridiagonal Matrix Algorithm (https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v6.0.1), GitHub. Retrieved .

MATLAB Release Compatibility
Created with R2021a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes
6.0.1

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v6.0.1
6.0.0

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v6.0.0
5.1.2

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v5.1.2
5.1.1

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v5.1.1
5.1.0

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v5.1.0
5.0.2

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v5.0.2
5.0.1

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v5.0.1
5.0.0

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v5.0.0
4.0.0

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v4.0.0
3.0.2

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v3.0.2
3.0.1

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v3.0.1
3.0.0

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v3.0.0
2.0.2

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v2.0.2
2.0.1

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v2.0.1
2.0.0

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v2.0.0
1.0.4

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v1.0.4
1.0.3

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v1.0.3
1.0.2

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v1.0.2
1.0.1

See release notes for this release on GitHub: https://github.com/tamaskis/tridiagonal-MATLAB/releases/tag/v1.0.1
1.0.0.0

To view or report issues in this GitHub add-on, visit the GitHub Repository.
To view or report issues in this GitHub add-on, visit the GitHub Repository.