# Tridiagonal Matrix Algorithm

버전 6.0.1 (254 KB) 작성자:
Solves the tridiagonal linear system Ax = d for x using two separate implementations of the tridiagonal matrix algorithm.
다운로드 수: 1K
업데이트 날짜: 2022/10/23

# 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.

• See "EXAMPLES.mlx" or the "Examples" tab on the File Exchange page for examples.

### 인용 양식

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

개발 환경: R2021a
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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

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5.1.2

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5.1.1

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5.1.0

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5.0.2

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5.0.1

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5.0.0

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4.0.0

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3.0.2

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3.0.1

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3.0.0

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2.0.2

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2.0.1

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2.0.0

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1.0.4

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1.0.2

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1.0.1

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1.0.0.0

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