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Rayleigh quotient iteration
Known as:
Rayleigh iteration
Rayleigh quotient iteration is an eigenvalue algorithm which extends the idea of the inverse iteration by using the Rayleigh quotient to obtain…
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Related topics
Related topics
11 relations
Eigenvalue algorithm
GNU Octave
Inverse iteration
Iterative method
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Broader (1)
Numerical linear algebra
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2013
2013
Multigrid in energy preconditioner for Krylov solvers
R. Slaybaugh
,
T. Evans
,
G. Davidson
,
P. Wilson
Journal of Computational Physics
2013
Corpus ID: 30032016
2012
2012
Computing absolute maximum correlation
Lei-Hong Zhang
,
M. Chu
2012
Corpus ID: 14552637
Optimizing correlations between sets of variables is an important task in many areas of applications. There are plenty of…
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2012
2012
Nonlinear Rayleigh functionals
H. Schwetlick
,
Kathrin Schreiber
2012
Corpus ID: 58903755
2008
2008
Two-sided Grassmann–Rayleigh quotient iteration
P. Absil
,
P. Dooren
Numerische Mathematik
2008
Corpus ID: 1325424
The two-sided Rayleigh quotient iteration proposed by Ostrowski computes a pair of corresponding left–right eigenvectors of a…
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Highly Cited
2008
Highly Cited
2008
Nonlinear Eigenvalue Problems: Newton-type Methods and Nonlinear Rayleigh Functionals
Kathrin Schreiber
2008
Corpus ID: 124623300
Nonlinear eigenvalue problems arise in many fields of natural and engineering sciences. Theoretical and practical results are…
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1999
1999
Infeasibility and negative curvature in optimization
W. Murray
,
E. Boman
1999
Corpus ID: 119564105
We consider the constrained nonlinear optimization problem where the feasible set is possibly empty, in which case no solution…
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1996
1996
High-radix digit serial division
A. Bashagha
,
M. K. Ibrahim
1996
Corpus ID: 62670424
A new area-time efficient digit serial division algorithm and its architecture are presented. In existing digit serial algorithms…
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1995
1995
Regions of convergence of the Rayleigh quotient iteration method
R. Pantazis
,
D. Szyld
Numerical Linear Algebra with Applications
1995
Corpus ID: 39847763
The Rayleigh quotient iteration method finds an eigenvector and the corresponding eigenvalue of a symmetric matrix. This is a…
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1990
1990
Rayleigh quotient iteration for nonsymmetric matrices
S. Batterson
,
J. Smillie
1990
Corpus ID: 26780376
Rayleigh quotient iteration is an iterative algorithm for the calculation of approximate eigenvectors of a matrix. Given a matrix…
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Highly Cited
1970
Highly Cited
1970
A Three-Stage Algorithm for Real Polynomials Using Quadratic Iteration
M. A. Jenkins
,
J. Traub
1970
Corpus ID: 44054214
We introduce a new three-stage process for calculating the zeros of a polynomial with real coefficients. The algorithm finds…
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