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Eigenvalue algorithm

Known as: Eigensolver, Matrix eigenvalue problem, Symbolic computation of matrix eigenvalues 
In numerical analysis, one of the most important problems is designing efficient and stable algorithms for finding the eigenvalues of a matrix, or… 
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Related topics

Related topics

42 relations
AlgorithmArnoldi iterationBisection methodCentrality
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Broader (1)

Numerical linear algebra

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2015
Highly Cited
2015
The theory of variational hybrid quantum-classical algorithms
Many quantum algorithms have daunting resource requirements when compared to what is available today. To address this discrepancy… 
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Highly Cited
2012
Highly Cited
2012
A linear eigenvalue algorithm for the nonlinear eigenvalue problem
The Arnoldi method for standard eigenvalue problems possesses several attractive properties making it robust, reliable and… 
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Highly Cited
2009
Highly Cited
2009
PEGASUS: A Peta-Scale Graph Mining System Implementation and Observations
In this paper, we describe PEGASUS, an open source Peta Graph Mining library which performs typical graph mining tasks such as… 
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Highly Cited
2007
Highly Cited
2007
The matrix eigenvalue problem - GR and Krylov subspace methods
This book presents the first in-depth, complete, and unified theoretical discussion of the two most important classes of… 
Highly Cited
2006
Highly Cited
2006
Spatiospectral Concentration on a Sphere
We pose and solve the analogue of Slepian's time-frequency concentration problem on the surface of the unit sphere to determine… 
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Highly Cited
1997
Highly Cited
1997
DISPLACEMENT/PRESSURE BASED MIXED FINITE ELEMENT FORMULATIONS FOR ACOUSTIC FLUID–STRUCTURE INTERACTION PROBLEMS
SUMMARY We present reliable finite element discretizations based on displacement/pressure interpolations for the analysis of… 
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Highly Cited
1988
Highly Cited
1988
Mode localization and eigenvalue loci veering phenomena in disordered structures
An investigation of the effects of disorder on the modes of vibration of nearly periodic structures is presented. It is shown… 
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Highly Cited
1980
Highly Cited
1980
The spectral transformation Lánczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems
A new algorithm is developed which computes a specified number of eigenvalues in any part of the spectrum of a generalized… 
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Highly Cited
1978
Highly Cited
1978
An introduction to numerical analysis
Error: Its Sources, Propagation, and Analysis. Rootfinding for Nonlinear Equations. Interpolation Theory. Approximation of… 
Highly Cited
1951
Highly Cited
1951
The principle of minimized iterations in the solution of the matrix eigenvalue problem
An interpretation of Dr. Cornelius Lanczos' iteration method, which he has named "minimized iterations", is discussed in this… 
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