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arXiv 1807.01489math.RAmath.AC
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交换半环上正半定矩阵的Cholesky分解

Cholesky decomposition of positive semidefinite matrices over commutative semirings

David Dolžan, Polona Oblak

摘要:

证明了交换半环上每个具有非负数值域的对称强可逆矩阵都有Cholesky分解.

英文摘要:

We prove that over a commutative semiring every symmetric strongly invertible matrix with nonnegative numerical range has a Cholesky decomposition.

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