Minimal eigenvalue of a real symmetric positive definite Toeplitz matrix

DOI10.1016/0096-3003(94)90055-8zbMath0807.65033OpenAlexW2012073049MaRDI QIDQ1339763

Mohamed Ahmed Shalaby

Publication date: 8 December 1994

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(94)90055-8

zbMATH Keywords

algorithmseigenvectorcirculant matricesminimal eigenvaluereal symmetric positive definite Toeplitz matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Cites Work

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• A new algorithm for solving Toeplitz systems of equations
• A new look at the Lanczos algorithm for solving symmetric systems of linear equations
• Asymptotically fast solution of Toeplitz and related systems of linear equations
• Numerical experience with a superfast real Toeplitz solver
• Computing the Minimum Eigenvalue of a Symmetric Positive Definite Toeplitz Matrix
• Stability of Methods for Solving Toeplitz Systems of Equations
• A Proposal for Toeplitz Matrix Calculations
• An Optimal Circulant Preconditioner for Toeplitz Systems
• Superfast Solution of Real Positive Definite Toeplitz Systems
• Toeplitz Equations by Conjugate Gradients with Circulant Preconditioner
• On the Rates of Convergence of the Lanczos and the Block-Lanczos Methods
• The Spectral Transformation Lanczos Method for the Numerical Solution of Large Sparse Generalized Symmetric Eigenvalue Problems
• On Estimating the Largest Eigenvalue with the Lanczos Algorithm
• An Algorithm for the Inversion of Finite Toeplitz Matrices

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