Abstract
We try to factor symmetric Toeplitz matrix A by A = LPLT for finding inertia. We know A and P have the same inertia, namely they have eigenvalues of the same sign. Orthogonal or invertible matrix gives us special properties of this factorization. Thus this process gives us a partible way for finding sign of eigenvalues for symmetric Toeplitz matrices.
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More From: Journal of Discrete Mathematical Sciences and Cryptography
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