I am interested in matrices with positive entries and the largest entry in each row and column is the diagonal entry. Is there a name for such matrices? How to generate such positive definite matrices?
2026-04-03 06:15:48.1775196948
positive matrices with largest entry of each row and column is diagonal entry
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Yes, they are called diagonally dominant matrices. I had seen an application of them in a numerical analysis course for Jacobi iteration method. "An Hermitian strictly diagonally dominant matrix with real positive diagonal entries is positive definite" so that can help with creating diagonally dominant matrices that are positive definite. There are more details on the wikipedia page..