QR Algorithm for Eigenvalues and Eigenvectors in Haskell

Project Title:

Development of a QR Algorithm for Eigenvalues and Eigenvectors in Haskell (No External Libraries)

Project Description:

I need an implementation of the QR algorithm in Haskell to find the eigenvalues and eigenvectors of a symmetric matrix. The input will be an

�

×

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n×n matrix

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M with real numbers, along with a precision parameter

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ϵ. The output should be:

A matrix

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V containing the eigenvectors.

A vector containing the eigenvalues of

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M.

Key Requirements:

Proficient in Haskell with a strong understanding of numerical methods.

Do not use any external libraries or copy code from libraries where these algorithms are already implemented.

Experience with implementing numerical algorithms from scratch.

Understanding of eigenvalues and eigenvectors, and their significance in linear algebra.

The algorithm should be efficient and capable of handling large matrices.

Ensure high accuracy in computing the eigenvalues and eigenvectors.

Deliverables:

Haskell code implementing the QR algorithm from scratch, without relying on external libraries.

Documentation explaining the approach, including details on handling precision

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ϵ and ensuring performance and accuracy.

アルゴリズム Haskell QR Code Making ソフトウェア開発

プロジェクトID: #38454379

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