Dear All, I have a rank r positive-semidefinite matrix M, which I am trying to decompose via lower-triangularlar Cholesky factorization M=LL^\top, but I am particularly interested in computing an L that has r positive diagonal entries and n-r columns containing all zero. Such a Cholesky matrix exis…

For example, here is a rank-3 5x5 positive semidefinite matrix: julia> B = rand(3,5); A = Hermitian(B'B); cholesky(A) throws PosDefException, and cholesky(A, Val(true)) throws RankDeficientException. However, passing check=false forces the factorization to proceed even if it is rank-deficient: j…

Cholesky decomposition of low-rank positive-semidefinite matrix

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stevengj Split this topic September 21, 2024, 7:10pm 6

2 posts were split to a new topic: Sparse Cholesky decomposition of singular semidefinite matrix?

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Cholesky decomposition of low-rank positive-semidefinite matrix

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