交换半环上正半定矩阵的Cholesky分解
Cholesky decomposition of positive semidefinite matrices over commutative semirings
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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