Concepedia
Linear Algebra and its Applications · 1997 · 122 citations · 12 references
Numerical AnalysisNumerical ComputationEngineeringLarge Unsymmetric EigenproblemsComputational ComplexityInverse ProblemsMatrix MethodMatrix TheoryMatrix AnalysisApproximation TheoryLow-rank ApproximationIterative Algorithms
12
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
Cornelius Lanczos · Journal of research of the National Bureau of Standards · 1950 · 4.3K citations · Full text
The principle of minimized iterations in the solution of the matrix eigenvalue problem
Walter E. Arnoldi · Quarterly of Applied Mathematics · 1951 · 1.8K citations · Full text
Spectral Theory, Mathematical Programming, Numerical Analysis +21
Implicit Application of Polynomial Filters in a <i>k</i>-Step Arnoldi Method
D. C. Sorensen · SIAM Journal on Matrix Analysis and Applications · 1992 · 1.1K citations
Numerical Analysis, Spectral Theory, Engineering +16
Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices
Yousef Saad · Linear Algebra and its Applications · 1980 · 517 citations
Numerical Analysis, Numerical Computation, Engineering +6
Chebyshev acceleration techniques for solving nonsymmetric eigenvalue problems
Mathematics of Computation · 1984 · 235 citations · Full text
Numerical Analysis, Spectral Theory, Chebyshev Polynomials +11