Analysis of third-order methods for secular equations
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Publication:4372695
DOI10.1090/S0025-5718-98-00884-9zbMath0899.65028OpenAlexW1998096271MaRDI QIDQ4372695
Publication date: 16 December 1997
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-98-00884-9
numerical exampleseigenvaluesthird-order convergencefinite difference approximationnonlinear approximationsecular equationHalley methodsecond derivativeGragg method
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical computation of solutions to single equations (65H05) Numerical differentiation (65D25)
Related Items (5)
A numerical comparison of methods for solving secular equations ⋮ Note on a rank-one modification of the singular value decomposition ⋮ Convergence analysis on a second order algorithm for orthogonal projection onto curves ⋮ Spectral functions for real symmetric Toeplitz matrices ⋮ A uniqueness result concerning a robust regularized least-squares solution
Cites Work
- A divide and conquer method for unitary and orthogonal eigenproblems
- A constrained eigenvalue problem
- A Divide and Conquer method for the symmetric tridiagonal eigenproblem
- Rank-one modification of the symmetric eigenproblem
- Numerical solution of a secular equation
- An $O(N^2 )$ Method for Computing the Eigensystem of $N \times N$ Symmetric Tridiagonal Matrices by the Divide and Conquer Approach
- A Fully Parallel Algorithm for the Symmetric Eigenvalue Problem
- An Algorithm for Subspace Computation, with Applications in Signal Processing
- On Halley's Variation of Newton's Method
- A Stable and Efficient Algorithm for the Rank-One Modification of the Symmetric Eigenproblem
- On the Geometry of Halley's Method
- Some Modified Matrix Eigenvalue Problems
- A unifying convergence analysis of second-order methods for secular equations
- Updating the singular value decomposition
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