Found 148 Documents (Results 1–100)
Two harmonic Jacobi-Davidson methods for computing a partial generalized singular value decomposition of a large matrix pair. (English) Zbl 1502.65014
A two-level preconditioned Helmholtz-Jacobi-Davidson method for the Maxwell eigenvalue problem. (English) Zbl 1483.65190
Jacobi-Davidson method for the second order fractional eigenvalue problems. (English) Zbl 1498.65129
Computation of the interior transmission eigenvalues for elastic scattering in an inhomogeneous medium containing an obstacle. (English) Zbl 1487.65041
Efficient methods of computing interior transmission eigenvalues for the elastic waves. (English) Zbl 07504701
On global convergence of subspace projection methods for Hermitian eigenvalue problems. (English) Zbl 1480.65083
The least squares and line search in extracting eigenpairs in Jacobi-Davidson method. (English) Zbl 1455.65057
A polynomial Jacobi-Davidson solver with support for non-monomial bases and deflation. (English) Zbl 1442.65054
Reviewer: Wei-Ru Xu (Chengdu)
Preconditioned inexact Jacobi-Davidson method for large symmetric eigenvalue problems. (English) Zbl 1449.65078
On the convergence of a two-level preconditioned Jacobi-Davidson method for eigenvalue problems. (English) Zbl 1417.65194
On the numerical treatment of the eigenparameter dependent boundary conditions. (English) Zbl 1381.65060
Numerical solution of linear eigenvalue problems. (English) Zbl 1385.65029
Girouard, Alexandre (ed.) et al., Geometric and computational spectral theory. Lectures from the Séminaire de Mathématiques Supérieures, Centre de Recherches Mathématiques, Université de Montréal, Montréal, QC, Canada, June 15–26, 2015. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM) (ISBN 978-1-4704-2665-1/pbk; 978-1-4704-4258-3/ebook). Contemporary Mathematics 700. Centre de Recherches Mathématiques Proceedings, 117-153 (2017).
On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems. (English) Zbl 1373.65022
MSC:
65F15
An efficient numerical algorithm for computing densely distributed positive interior transmission eigenvalues. (English) Zbl 1366.78021
Reviewer: Teodora-Liliana Rădulescu (Craiova)
On local quadratic convergence of inexact simplified Jacobi-Davidson method. (English) Zbl 1359.65055
Restarting iterative projection methods for Hermitian nonlinear eigenvalue problems with minmax property. (English) Zbl 1358.65032
A hybrid Jacobi-Davidson method for interior cluster eigenvalues with large null-space in three dimensional lossless drude dispersive metallic photonic crystals. (English) Zbl 1375.78044
A Jacobi-Davidson type method for computing real eigenvalues of the quadratic eigenvalue problem. (English) Zbl 1376.65051
MSC:
65F15
Numerical methods for nonlinear two-parameter eigenvalue problems. (English) Zbl 1342.65116
Reviewer: Liu Xinguo (Qingdao)
A homotopy method for finding all solutions of a multiparameter eigenvalue problem. (English) Zbl 1338.65100
A Newton-type method with nonequivalence deflation for nonlinear eigenvalue problems arising in photonic crystal modeling. (English) Zbl 1380.65354
Spectral recycling strategies for the solution of nonlinear eigenproblems in thermoacoustics. (English) Zbl 1374.65090
Global convergence of the restarted Lanczos and Jacobi-Davidson methods for symmetric eigenvalue problems. (English) Zbl 1325.65050
Reviewer: Anton Iliev (Plovdiv)
Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration. (English) Zbl 1363.65061
On the subspace projected approximate matrix method. (English) Zbl 1363.65048
Reviewer: Miroslav Tůma (Praha)
A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible \(M\)-matrix. (English) Zbl 1320.65055
Reviewer: Constantin Popa (Constanţa)
Harmonic and refined harmonic shift-invert residual Arnoldi and Jacobi-Davidson methods for interior eigenvalue problems. (English) Zbl 1309.65041
MSC:
65F15
Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems: II. Accelerated algorithms. (English) Zbl 1309.65060
Reviewer: Anton Iliev (Plovdiv)
MSC:
65H17
Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems. I. Classical algorithms. (English) Zbl 1309.65059
Reviewer: Anton Iliev (Plovdiv)
Practical aspects of domain decomposition in Jacobi-Davidson for parallel performance. (English) Zbl 1382.65100
Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 839-847 (2014).
The quadratic approximation methods for solving nonlinear eigenvalue problems. (Chinese. English summary) Zbl 1324.65085
MSC:
65H17
Inner iterations in the shift-invert residual Arnoldi method and the Jacobi-Davidson method. (English) Zbl 1312.65054
Reviewer: Michael Jung (Dresden)
A novel deflation technique for solving quadratic eigenvalue problems. (English) Zbl 1291.15024
Reviewer: Constantin Popa (Constanţa)
Spectral methods for non-standard eigenvalue problems. Fluid and structural mechanics and beyond. (English) Zbl 1298.65166
SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-319-06229-7/pbk; 978-3-319-06230-3/ebook). xii, 120 p. (2014).
Reviewer: Boris V. Loginov (Ul’yanovsk)
Polynomial optimization and a Jacobi-Davidson type method for commuting matrices. (English) Zbl 1336.65053
MSC:
65F15
A Jacobi-Davidson method for two-real-parameter nonlinear eigenvalue problems arising from delay-differential equations. (English) Zbl 1313.65083
Reviewer: Michiel E. Hochstenbach (Eindhoven)
On optimizing Jacobi-Davidson method for calculating eigenvalues in low dimensional structures using eight band \(\mathbf{k}\cdot\mathbf{p}\) model. (English) Zbl 1301.81067
Robust successive computation of eigenpairs for nonlinear eigenvalue problems. (English) Zbl 1297.47067
Reviewer: Adriana Buică (Cluj-Napoca)
Computing extremal eigenvalues for three-dimensional photonic crystals with wave vectors near the Brillouin zone center. (English) Zbl 1271.65065
Reviewer: Alan L. Andrew (Bundoora)
Local convergence analysis of several inexact Newton-type algorithms for general nonlinear eigenvalue problems. (English) Zbl 1259.65077
MSC:
65H17
A refined Jacobi-Davidson type method for right definite two-parameter eigenvalue problems. (English) Zbl 1289.65083
MSC:
65F15
A parallel refined Jacobi-Davidson method for quadratic eigenvalue problems and its implementation on multi-core platform. (Chinese. English summary) Zbl 1289.65084
The Jacobi-Davidson method with deflation for solving eigenvalue problems of gyroscopic systems. (Chinese. English summary) Zbl 1289.65087
Mathematical modeling of semiconductor quantum dots based on the nonparabolic effective-mass approximation. (English) Zbl 1273.65162
Efficient preconditioned inner solves for inexact Rayleigh quotient iteration and their connections to the single-vector Jacobi-Davidson method. (English) Zbl 1238.65028
Reviewer: Liu Xinguo (Qingdao)
A multilevel Jacobi-Davidson method for polynomial PDE eigenvalue problems arising in plasma physics. (English) Zbl 1278.76131
Preconditioning bandgap eigenvalue problems in three-dimensional photonic crystals simulations. (English) Zbl 1220.78117
Reviewer: Johannes Elschner (Berlin)
Improving the parallel performance of a domain decomposition preconditioning technique in the Jacobi-Davidson method for large scale eigenvalue problems. (English) Zbl 1200.65026
A parallel additive Schwarz preconditioned Jacobi-Davidson algorithm for polynomial eigenvalue problems in quantum dot simulation. (English) Zbl 1187.65034
On an unsymmetric eigenvalue problem governing free vibrations of fluid-solid structures. (English) Zbl 1237.74028
Grassmann algorithms for low rank approximation of matrices with missing values. (English) Zbl 1186.65050
Controlling inner iterations in the Jacobi-Davidson method. (English) Zbl 1191.65032
Reviewer: Jinhai Chen (Hongkong)
MSC:
65F15
A Jacobi-Davidson type method for the generalized singular value problem. (English) Zbl 1169.65034
Reviewer: T. C. Mohan (Dehra Dun)
An SVD-approach to Jacobi-Davidson solution of nonlinear Helmholtz eigenvalue problems. (English) Zbl 1166.65022
Exploiting structure in large-scale electrical circuit and power system problems. (English) Zbl 1185.93010
Reviewer: Nina Shokina (Freiburg)
Parallel solution of large-scale eigenvalue problem for master equation in protein folding dynamics. (English) Zbl 1243.92022
Parallel block Jacobi-Davidson method for solving large generalized eigenvalue problems and its application. (Chinese. English summary) Zbl 1199.65123
A convergence analysis of the inexact Rayleigh quotient iteration and simplified Jacobi-Davidson method for the large Hermitian matrix eigenproblem. (English) Zbl 1179.65039
MSC:
65F15
A parallel Jacobi-Davidson method for solving quadratic eigenvalue problem and its application. (Chinese. English summary) Zbl 1199.65122
Harmonic Rayleigh-Ritz extraction for the multiparameter eigenvalue problem. (English) Zbl 1171.65378
On solving complex-symmetric eigenvalue problems arising in the design of axisymmetric VCSEL devices. (English) Zbl 1136.65040
A comparison of solvers for quadratic eigenvalue problems from combustion. (English) Zbl 1135.65020
MSC:
65F15
Rayleigh quotient iteration and simplified Jacobi-Davidson method with preconditioned iterative solves. (English) Zbl 1142.65034
Reviewer: Raffaella Pavani (Milano)
Arnoldi and Jacobi-Davidson methods for generalized eigenvalue problems \(Ax=\lambda Bx\) with singular \(B\). (English) Zbl 1133.65020
On the solution of generalized nonlinear complex-symmetric eigenvalue problems. (English) Zbl 1194.74133
Homogeneous Jacobi-Davidson. (English) Zbl 1171.65377
Computing a partial generalized real Schur form using the Jacobi-Davidson method. (English) Zbl 1199.65126
Nearly optimal preconditioned methods for Hermitian eigenproblems under limited memory. II: Seeking many eigenvalues. (English) Zbl 1151.65320
Nearly optimal preconditioned methods for Hermitian eigenproblems under limited memory. I: Seeking one eigenvalue. (English) Zbl 1137.65019
Numerical schemes for three-dimensional irregular shape quantum dots over curvilinear coordinate systems. (English) Zbl 1124.65106
Convergence analysis of the Jacobi-Davidson method applied to a generalized eigenproblem. (English) Zbl 1123.65023
MSC:
65F15
A new justification of the Jacobi-Davidson method for large eigenproblems. (English) Zbl 1120.65048
Reviewer: R. Militaru (Craiova)
Studies on Jacobi-Davidson, Rayleigh quotient iteration, inverse iteration generalized Davidson and Newton updates. (English) Zbl 1174.65372
MSC:
65F15
A Jacobi-Davidson method for computing partial generalized real Schur forms. (English) Zbl 1119.65331
Bermúdez de Castro, Alfredo (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2005, the 6th European conference on numerical mathematics and advanced applications, Santiago de Compostela, Spain, July 18–22, 2005. Berlin: Springer (ISBN 3-540-34287-7/hbk). 963-971 (2006).
MSC:
65F30
65F15
Computing reducing subspaces of a large linear matrix pencil. (English) Zbl 1134.65031
Reviewer: George A. Gravvanis (Xanthi)
Iterative projection methods for computing relevant energy states of a quantum dot. (English) Zbl 1102.81040
Jacobi-Davidson methods for cubic eigenvalue problems. (English) Zbl 1164.65366
Reviewer: Jan Chleboun (Praha)
A refined harmonic Rayleigh-Ritz procedure and an explicitly restarted refined harmonic Arnoldi algorithm. (English) Zbl 1111.65033
Reviewer: Georg Hebermehl (Berlin)
Energy states of vertically aligned quantum dot array with nonparabolic effective mass. (English) Zbl 1070.81041
Is Jacobi-Davidson faster than Davidson? (English) Zbl 1078.65032
Reviewer: Daniel Kressner (Zagreb)
MSC:
65F15
A Jacobi–Davidson type method for the two-parameter eigenvalue problem. (English) Zbl 1077.65036
MSC:
65F15
Nonlinear eigenvalue problems: A challenge for modern eigenvalue methods. (English) Zbl 1071.65074
MSC:
65H17
A Jacobi-Davidson continuation method. (English) Zbl 1060.65678
Psihoyios, G. (ed.), NACoM-2003 extended abstracts. Proceedings of the international conference on numerical analysis and computational mathematics, Cambridge, UK, May 23–26, 2003. (Contained as No. 2 in the journal ANACM 1, No. 1-2, 524 p. (2004)). Weinheim: Wiley-VCH (ISBN 3-527-40462-7). 125-128 (2004).
Modern methods for the iterative computation of eigenpairs of matrices of high dimension. (English) Zbl 1055.65051
Reviewer: Amin Boumenir (Carrollton)
Jacobi iteration method and its generalization. (Chinese. English summary) Zbl 1050.65034
Reviewer: Liu Xinguo (Qingdao)
MSC:
65F15
Exploiting multilevel preconditioning techniques in eigenvalue computations. (English) Zbl 1061.65030
Numerical solution of quadratic eigenvalue problems with structure-preserving methods. (English) Zbl 1048.65035
Reviewer: Alan L. Andrew (Bundoora)
Convergence analysis of inexact Rayleigh quotient iteration. (English) Zbl 1045.65032
Reviewer: Dietrich Braess (Bochum)
MSC:
65F15
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