Newton type methods for computing the smallest eigenvalue of a symmetric Toeplitz matrix
Copyright policy )Newton type methods for computing the smallest eigenvalue of a symmetric Toeplitz matrix
Several methods for computing the smallest eigenvalue of asymmetric positive definite Toeplitz matrix are presented. They converge from the left to the minimum eigenvalue, and they rely on Newton's method and interpolation of the characteristic polynomial with no need for introductory bisection steps. The methods are conceptually much simpler than the ones introduced by the same authors based on rational interpolation of the secular equation.
Numerical computation of eigenvalues and eigenvectors of matrices, symmetric positive definite Toeplitz matrix, Eigenwertproblem, Mathematik, Toeplitz-Matrix, eigenvalue problem, Toeplitz matrix, Eigenvalues, eigenvectors
Numerical computation of eigenvalues and eigenvectors of matrices, symmetric positive definite Toeplitz matrix, Eigenwertproblem, Mathematik, Toeplitz-Matrix, eigenvalue problem, Toeplitz matrix, Eigenvalues, eigenvectors
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