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Generalised solutions to overdetermined linear systems of equations can be represented using the pseudoinverse of a matrix, which extends the concept of the inverse matrix to singular and rectangular matrices. Eigenvalues of an associated symmetric, positive semidefinite matrix are used to determine the pseudoinverse.

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Singular Value Decomposition and Pseudoinverse

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  • 发表日期：

    2025年

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  • Sören Bartels

摘要

Generalised solutions to overdetermined linear systems of equations can be represented using the pseudoinverse of a matrix, which extends the concept of the inverse matrix to singular and rectangular matrices. Eigenvalues of an associated symmetric, positive semidefinite matrix are used to determine the pseudoinverse.