Symmetric Matrix - Symmetrizable Matrix

Symmetrizable Matrix

An n-by-n matrix A is said to be symmetrizable if there exist an invertible diagonal matrix D and symmetric matrix S such that A = DS. The transpose of a symmetrizable matrix is symmetrizable, for (DS)T = D−T(DTSD). A matrix A = (aij) is symmetrizable if and only if the following conditions are met:

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