Assume $A$ is a positive definite matrix, and $B$ is a matrix with zero row sum.
Does matrix $A$ exist such that $AB$ is strictly diagonally dominant?
Assume $A$ is a positive definite matrix, and $B$ is a matrix with zero row sum.
Does matrix $A$ exist such that $AB$ is strictly diagonally dominant?
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How can a matrix with row sums $0$ be strictly diagonally dominant?