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Practical improvement of the divide-and-conquer eigenvalue algorithms

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01389480openalex-snapshot
Eigenvalues of a symmetric tridiagonal matrix: A divide-and-conquer approach
inferredcites →https://doi.org/10.1007/bf01396012openalex-snapshot
Rank-one modification of the symmetric eigenproblem
inferredcites →https://doi.org/10.1007/bf01396757openalex-snapshot
A divide and conquer method for the symmetric tridiagonal eigenproblem
inferredcites →https://doi.org/10.1016/0885-064x(87)90022-7openalex-snapshot
On the worst-case arithmetic complexity of approximating zeros of polynomials
inferredcites →https://doi.org/10.1016/0885-064x(90)90032-9openalex-snapshot
Simple algorithms for approximating all roots of a polynomial with real roots
inferredcites →https://doi.org/10.1063/1.4822961openalex-snapshot
Savitzky-Golay Smoothing Filters
inferredcites →https://doi.org/10.1093/imamat/12.2.209openalex-snapshot
Eigenvalues of Symmetric Tridiagonal Matrices: A Fast, Accurate and Reliable Algorithm
inferredcites →https://doi.org/10.1137/0908018openalex-snapshot
A Fully Parallel Algorithm for the Symmetric Eigenvalue Problem
inferredcites →https://doi.org/10.1137/0911010openalex-snapshot
An $O(N^2 )$ Method for Computing the Eigensystem of $N \times N$ Symmetric Tridiagonal Matrices by the Divide and Conquer Approach
inferredcites →https://doi.org/10.1137/1.9781611971163openalex-snapshot
The Symmetric Eigenvalue Problem
inferredcites →https://doi.org/10.2307/2007453openalex-snapshot
The Symmetric Eigenvalue Problem.
inferredcites →https://doi.org/10.5555/127787.127855openalex-snapshot
Parallel complexity of tridiagonal symmetric Eigenvalue problem
inferredcites →https://doi.org/10.56021/9781421407944openalex-snapshot
Matrix Computations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/bfb0046705openalex-snapshot
A distributed divide-and-conquer approach to the parallel tridiagonal symmetric eigenvalue problem
inferred← citeshttps://doi.org/10.1007/s002110050035openalex-snapshot
Iteration schemes for the divide-and-conquer eigenvalue solver
inferred← citeshttps://doi.org/10.1016/0893-9659(92)90012-xopenalex-snapshot
Improving the solution of the symmetric eigenvalue problem and an extension
inferred← citeshttps://doi.org/10.1016/j.jcss.2004.12.010openalex-snapshot
Efficient parallel factorization and solution of structured and unstructured linear systems
inferred← citeshttps://doi.org/10.1016/j.jsc.2015.06.009openalex-snapshot
Nearly optimal refinement of real roots of a univariate polynomial
inferred← citeshttps://doi.org/10.1016/j.tcs.2008.09.008openalex-snapshot
Computations with quasiseparable polynomials and matrices
inferred← citeshttps://doi.org/10.1023/a:1019146505291openalex-snapshot
Bisection acceleration for the symmetric tridiagonal eigenvalue problem
inferred← citeshttps://doi.org/10.1109/empdp.1998.647173openalex-snapshot
Exploiting the parallel divide-and-conquer method to solve the symmetric tridiagonal eigenproblem
inferred← citeshttps://doi.org/10.1109/sfcs.1992.267780openalex-snapshot
The power of combining the techniques of algebraic and numerical computing: improved approximate multipoint polynomial evaluation and improved multipole algorithms
inferred← citeshttps://doi.org/10.1109/sfcs.1995.492469openalex-snapshot
Efficient parallel solution of sparse eigenvalue and eigenvector problems
inferred← citeshttps://doi.org/10.1109/spdp.1994.346126openalex-snapshot
On the convergence of a parallel algorithm for finding polynomial zeros
inferred← citeshttps://doi.org/10.1109/tac.2020.3032496openalex-snapshot
Cooperative Output Regulation of Heterogeneous Multiagent Systems: A Global Distributed Control Synthesis Approach
inferred← citeshttps://doi.org/10.1137/1034049openalex-snapshot
Complexity of Computations with Matrices and Polynomials
inferred← citeshttps://doi.org/10.1137/s0036144595288554openalex-snapshot
Solving a Polynomial Equation: Some History and Recent Progress
inferred← citeshttps://doi.org/10.1137/s0097539790182482openalex-snapshot
Computing Matrix Eigenvalues and Polynomial Zeros Where the Output is Real
inferred← citeshttps://doi.org/10.1145/2465506.2465938openalex-snapshot
On the boolean complexity of real root refinement
inferred← citeshttps://doi.org/10.1515/9783110883237.3885openalex-snapshot
Divide and conquer techniques for the polynomial root-finding problem
inferred← citeshttps://doi.org/10.3390/e25081115openalex-snapshot
Centrality Learning: Auralization and Route Fitting
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