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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

Broader (1)

Numerical linear algebra

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2015
Highly Cited
2015
Binary Bargmann symmetry constraint associated with 3 × 3 discrete matrix spectral problem
Based on the nonlinearization technique, a binary Bargmann symmetry constraint associated with a new discrete 3 × 3 matrix… 
2012
2012
Topology-Aware Mappings for Large-Scale Eigenvalue Problems
Obtaining highly accurate predictions for properties of light atomic nuclei using the Configuration Interaction (CI) approach… 
Highly Cited
2010
Highly Cited
2010
Performance evaluation of concurrent collections on high-performance multicore computing systems
This paper is the first extensive performance study of a recently proposed parallel programming model, called Concurrent… 
2010
2010
Adaptive Projection Subspace Dimension for the Thick-Restart Lanczos Method
The Thick-Restart Lanczos (TRLan) method is an effective method for solving large-scale Hermitian eigenvalue problems. The… 
Highly Cited
2004
Highly Cited
2004
Curvature effects on the structural, electronic and optical properties of isolated single-walled carbon nanotubes within a symmetry-adapted non-orthogonal tight-binding model
The effects of curvature on the structure, electronic and optical properties of isolated single-walled carbon nanotubes are… 
Highly Cited
2003
Highly Cited
2003
FIBER: A Generalized Framework for Auto-tuning Software
This paper proposes a new software architecture framework, named FIBER, to generalize auto-tuning facilities and obtain highly… 
Highly Cited
2001
Highly Cited
2001
Computer simulation of electron energy levels for different shape InAs/GaAs semiconductor quantum dots
2000
2000
Analysis of inhomogeneously filled waveguides using a bi-orthonormal-basis method
A general theoretical formulation to analyze inhomogeneously filled waveguides with lossy dielectrics is presented in this paper… 
Highly Cited
1998
Highly Cited
1998
Using Generalized Cayley Transformations within an Inexact Rational Krylov Sequence Method
The rational Krylov sequence (RKS) method is a generalization of Arnoldi's method. It constructs an orthogonal reduction of a… 
Highly Cited
1989
Highly Cited
1989
Eigenvalue asymptotics for the Schrödinger operator with homogeneous magnetic potential and decreasing electric potential. I: Behaviour near the essential spectrum tips
We consider the discrete spectrum of the Schrodinger operator with homogeneous magnetic potential and decreasing electric… 
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