Nearest positive semi-definite covariance matrix

Find nearest positive semi-definite matrix to a symmetric matrix that is not positive semi-definite

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The function performs a nonlinear, constrained optimization to find a positive semi-definite matrix that is closest (2-norm) to a symmetric matrix that is not positive semi-definite which the user provides to the function. The optimization is subject to the constraint that the output matrix' diagonal elements as well as its eigenvalues are non-negative.

Cite As

Marco B. (2026). Nearest positive semi-definite covariance matrix (https://au.mathworks.com/matlabcentral/fileexchange/34182-nearest-positive-semi-definite-covariance-matrix), MATLAB Central File Exchange. Retrieved .

Acknowledgements

Inspired: nearestSPD

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General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.1.0.0

Example input matrix added

1.0.0.0