Skip to search form
Skip to main content
Skip to account menu
Semantic Scholar
Semantic Scholar's Logo
Search 228,383,007 papers from all fields of science
Search
Sign In
Create Free Account
Arnoldi iteration
Known as:
Arnoldi
, Arnoldi decomposition
, Arnoldi's algorithm
In numerical linear algebra, the Arnoldi iteration is an eigenvalue algorithm and an important example of iterative methods. Arnoldi finds the…
Expand
Wikipedia
(opens in a new tab)
Create Alert
Alert
Related topics
Related topics
27 relations
ARPACK
Algorithm
Basis (linear algebra)
Characteristic polynomial
Expand
Broader (1)
Numerical linear algebra
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2009
2009
The Arnoldi Eigenvalue Iteration with Exact Shifts Can Fail
M. Embree
SIAM Journal on Matrix Analysis and Applications
2009
Corpus ID: 5119888
The restarted Arnoldi algorithm, implemented in the ARPACK software library and MATLAB's eigs command, is among the most common…
Expand
2009
2009
Eigenvalue Analysis of Curved Waveguides Employing an Orthogonal Curvilinear Frequency-Domain Finite-Difference Method
C. Lavranos
,
G. Kyriacou
IEEE transactions on microwave theory and…
2009
Corpus ID: 16081108
An eigenvalue analysis numerical technique for curved closed waveguiding structures loaded with inhomogeneous and/or anisotropic…
Expand
2006
2006
Rational Krylov for eigenvalue computation and model order reduction
K. Olsson
,
Axel Ruhe
2006
Corpus ID: 92993936
A rational Krylov algorithm for eigenvalue computation and model order reduction is described. It is shown how to implement it as…
Expand
2003
2003
Deflation Techniques within an Implicitly Restarted Arnoldi Iteration *
R. Lehoucq
2003
Corpus ID: 51691309
A deflation procedure is introduced that is designed to improve the convergence of an implicitly restarted Arnoldi iteration for…
Expand
2003
2003
Proper Orthogonal Decomposition Extensions and Their Applications in Steady Aerodynamics
B. Tan
2003
Corpus ID: 123173018
The development and application of model reduction techniques have been widely investigated for problems in unsteady aerodynamic…
Expand
2003
2003
Multidimensional Infrared Signatures of Intramolecular Hydrogen Bonding in Malonaldehyde
Tomoyuki Hayashi
,
S. Mukamel
2003
Corpus ID: 55454841
The sixth-order anharmonic force field of malonaldehyde along the two proton-transfer double-well coordinates and the four O-H…
Expand
1998
1998
Accelerating the arnoldi iteration: theory and practice
Chao Yang
,
D. Sorensen
1998
Corpus ID: 116099782
Accelerating the Arnoldi Iteration { Theory and Practice by Chao Yang The Arnoldi iteration is widely used to compute a few…
Expand
1998
1998
Eigenvalue algorithms with several factorizations -- a unified theory yet?
Axel Ruhe
1998
Corpus ID: 117757167
A general discussion of applications where numerical solution of large scale matrix eigenvalue problems occur is given and the…
Expand
Highly Cited
1997
Highly Cited
1997
Simulation of multiconductor transmission lines using Krylov subspace order-reduction techniques
M. Çelik
,
A. Cangellaris
IEEE Trans. Comput. Aided Des. Integr. Circuits…
1997
Corpus ID: 37226546
A mathematical model for lossy, multiconductor transmission lines is introduced to facilitate the efficient application of Krylov…
Expand
1993
1993
Semi-duality in the two-sided lanczos algorithm
D. Day
,
B. Parlett
1993
Corpus ID: 15513957
Lanczos vectors computed in finite precision arithmetic by the three-term recurrence tend to lose their mutual biorthogonality…
Expand
By clicking accept or continuing to use the site, you agree to the terms outlined in our
Privacy Policy
(opens in a new tab)
,
Terms of Service
(opens in a new tab)
, and
Dataset License
(opens in a new tab)
ACCEPT & CONTINUE