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Full-Text Articles in Applied Mathematics
A Note On Computing Eigenvalues Of Banded Hermitian Toeplitz Matrices, William F. Trench
A Note On Computing Eigenvalues Of Banded Hermitian Toeplitz Matrices, William F. Trench
William F. Trench
No abstract provided.
Spectral Evolution Of A One-Parameter Extension Of A Real Symmetric Toeplitz Matrix, William F. Trench
Spectral Evolution Of A One-Parameter Extension Of A Real Symmetric Toeplitz Matrix, William F. Trench
William F. Trench
No abstract provided.
On The Eigenvalue Problem For Toeplitz Matrices Generated By Rational Functions, William F. Trench
On The Eigenvalue Problem For Toeplitz Matrices Generated By Rational Functions, William F. Trench
William F. Trench
We give formulas for the characteristic polynomial and eigenvectors of of $n\times n$ Toeplitz matrices generated by a formal Laurent series of a rational function $R(z)$. The formulas are in terms of a certain fixed polynomial with coefficients that are simple functions of $\lambda$ and the coefficients of $R(z)$. The complexity of the formulas is independent of $n$.
On The Eigenvalue Problem For Toeplitz Band Matrices, William F. Trench
On The Eigenvalue Problem For Toeplitz Band Matrices, William F. Trench
William F. Trench
No abstract provided.