Found 174 Documents (Results 1–100)
Full-rank orthonormal bases for conditionally positive definite kernel-based spaces. (English) Zbl 1540.41011
Computing multi-eigenpairs of high-dimensional eigenvalue problems using tensor neural networks. (English) Zbl 07843831
Locally optimal eigenpairs of orthogonally decomposable tensors: a generalized proof. (English) Zbl 1539.15031
Backward error analysis of specified eigenpairs for sparse matrix polynomials. (English) Zbl 07729593
MSC:
65F15
Fast computation of error bounds for all eigenpairs of a Hermitian and all singular pairs of a rectangular matrix with emphasis on eigen- and singular value clusters. (English) Zbl 1517.65025
Direct methods to compute all \(Z\)-eigenpairs of a tensor with dimension 2 or 3. (English) Zbl 1513.15020
A Rayleigh quotient-gradient neural network method for computing \(\mathcal{Z}\)-eigenpairs of general tensors. (English) Zbl 07511601
Computing symplectic eigenpairs of symmetric positive-definite matrices via trace minimization and Riemannian optimization. (English) Zbl 1480.15011
Eigenpairs of some imperfect pentadiagonal Toeplitz matrices. (English) Zbl 1458.15021
Reviewer: Tin Yau Tam (Reno)
Left and right inverse eigenpairs problem with a submatrix constraint for the generalized centrosymmetric matrix. (English) Zbl 1475.65021
Inverses and eigenpairs of tridiagonal Toeplitz matrix with opposite-bordered rows. (English) Zbl 1458.15007
Decomposition of additive random fields. (English. Russian original) Zbl 1466.60105
Vestn. St. Petersbg. Univ., Math. 53, No. 1, 29-36 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 1, 39-49 (2020).
Reviewer: Andriy Olenko (Melbourne)
MSC:
60G60
Credibility verification of \(Z\)-eigenpairs of symmetric tensors based on inverse-free Newton’s method. (Chinese. English summary) Zbl 1449.15062
A locally and cubically convergent algorithm for computing \(\mathcal{Z}\)-eigenpairs of symmetric tensors. (English) Zbl 1474.65091
Reviewer: John D. Dixon (Ottawa)
Structured perturbation analysis of sparse matrix pencils with \(s\)-specified eigenpairs. (English) Zbl 1445.65014
Reviewer: Raffaella Pavani (Milano)
Reply to letter to the editor: Eigenpairs of some particular band Toeplitz matrices: a comment: reply from authors. (English) Zbl 1463.65070
Letter to the editor: Eigenpairs of some particular band Toeplitz matrices: a comment. (English) Zbl 1463.65069
Strong continuity of eigen-pairs of the Schrödinger operator with integrable potentials. (English) Zbl 1430.35176
Reviewer: Gianpaolo Piscitelli (Cassino)
MSC:
35P15
Block algorithms with augmented Rayleigh-Ritz projections for large-scale eigenpair computation. (English) Zbl 1463.65073
Linear algebra for computational sciences and engineering. With a foreword by Alberto Grasso. 2nd edition. (English) Zbl 1442.15001
Cham: Springer (ISBN 978-3-030-21320-6/hbk; 978-3-030-21321-3/ebook). xxv, 574 p. (2019).
Reviewer: Ctirad Matonoha (Praha)
Complete eigenpairs of hexagonal seven-point Laplacian in Fourier vectors at half-integral nodes. (English) Zbl 1438.65280
A new shift strategy for the implicitly restarted refined harmonic Lanczos method. (English) Zbl 1382.65103
MSC:
65F15
Computing the bidiagonal SVD through an associated tridiagonal eigenproblem. (English) Zbl 07486623
Dutra, Inês (ed.) et al., High performance computing for computational science – VECPAR 2016. 12th international conference, Porto, Portugal, June 28–30, 2016. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10150, 64-74 (2017).
MSC:
65Fxx
Induced dimension reduction method to solve the quadratic eigenvalue problem. (English) Zbl 1368.65055
Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 203-211 (2017).
MSC:
65F15
Accelerating convergence by augmented Rayleigh-Ritz projections for large-scale eigenpair computation. (English) Zbl 1365.65096
MSC:
65F15
Iterative algorithms for computing US- and U-eigenpairs of complex tensors. (English) Zbl 1357.65042
A restarted induced dimension reduction method to approximate eigenpairs of large unsymmetric matrices. (English) Zbl 1342.65113
Backward error analysis for eigenproblems involving conjugate symplectic matrices. (English) Zbl 1478.65026
On decomposition of \(k\)-tridiagonal \(\ell\)-Toeplitz matrices and its applications. (English) Zbl 1327.15018
Optimization problems on the rank of the solution to left and right inverse eigenvalue problem. (English) Zbl 1308.65055
An adaptive shifted power method for computing generalized tensor eigenpairs. (English) Zbl 1318.65019
Reviewer: Raffaella Pavani (Milano)
Backward error analysis for an eigenproblem involving two classes of matrices. (English) Zbl 1312.65058
Reviewer: Constantin Popa (Constanţa)
Constructing smooth tests without estimating the eigenpairs of the limiting process. (English) Zbl 1293.62101
Unconstrained optimization models for computing several extreme eigenpairs of real symmetric matrices. (English) Zbl 1291.65122
Reviewer: Hans Benker (Merseburg)
Left and right inverse eigenpairs problem for \(\kappa\)-Hermitian matrices. (English) Zbl 1268.65052
A refined Arnoldi type method for large scale eigenvalue problems. (English) Zbl 1264.65057
Reviewer: Constantin Popa (Constanţa)
MSC:
65F15
The number of eigenvalues of a tensor. (English) Zbl 1277.15007
Reviewer: Xiangqian Guo (Zhengzhou)
Mode selecting eigensolvers for 3D computational models. (English) Zbl 1248.65038
Michielsen, Bastiaan (ed.) et al., Scientific computing in electrical engineering SCEE 2010. Selected papers based on the presentations at the 8th conference, Toulouse, France, September 2010. Berlin: Springer (ISBN 978-3-642-22452-2/hbk; 978-3-642-22453-9/ebook). Mathematics in Industry 16, 127-135 (2012).
MSC:
65F15
Sparse tensor approximation of parametric eigenvalue problems. (English) Zbl 1248.65116
Graham, Ivan G. (ed.) et al., Numerical analysis of multiscale problems. Selected papers based on the presentations at the 91st London Mathematical Society symposium, Durham, UK, July 5–15, 2010. Berlin: Springer (ISBN 978-3-642-22060-9/hbk; 978-3-642-22061-6/ebook). Lecture Notes in Computational Science and Engineering 83, 203-241 (2012).
Shifted power method for computing tensor eigenpairs. (English) Zbl 1247.65048
Reviewer: Alan L. Andrew (Bundoora)
Partitioning inverse Monte Carlo iterative algorithm for finding the three smallest eigenpairs of generalized eigenvalue problem. (English) Zbl 1217.65005
The eigenstructure of block-structured correlation matrices and its implications for principal component analysis. (English) Zbl 1511.62130
The reconstruction of an Hermitian Toeplitz matrix with prescribed eigenpairs. (English) Zbl 1211.15011
A new iterative method for many eigenpair partial derivatives. (English) Zbl 1221.65096
Reviewer: Ludwig Elsner (Bielefeld)
MSC:
65F15
On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators. (English) Zbl 1218.45002
Reviewer: Aleksander Pankov (Baltimore)
The Lanczos method for parameterized symmetric linear systems with multiple right-hand sides. (English) Zbl 1205.65149
Reviewer: Adhemar Bultheel (Leuven)
A parallel eigensolver using contour integration for generalized eigenvalue problems in molecular simulation. (English) Zbl 1198.65074
A method for profiling the distribution of eigenvalues using the AS method. (English) Zbl 1198.65076
A global harmonic Arnoldi method for large non-Hermitian eigenproblems with an application to multiple eigenvalue problems. (English) Zbl 1188.65041
A refined block conjugate gradient method for symmetric eigenvalue problems. (English) Zbl 1224.65098
Finding extremal complex polytope norms for families of real matrices. (English) Zbl 1197.93129
Reviewer: Alexey Alimov (Moskva)
Left and right inverse eigenpairs problem of generalized centrosymmetric matrices and its optimal approximation problem. (English) Zbl 1181.65057
Reviewer: Alan L. Andrew (Bundoora)
MSC:
65F18
A time-independent approach for computing wave functions of the Schrödinger-Poisson system. (English) Zbl 1212.65433
Reviewer: Karel Segeth (Praha)
A refined harmonic Lanczos bidiagonalization for computing smallest singular triplets. (Chinese. English summary) Zbl 1174.65377
A new computational harmonic projection algorithm for large unsymmetric generalized eigenproblems. (English) Zbl 1157.65349
MSC:
65F15
Computing several eigenpairs of Hermitian problems by conjugate gradient iterations. (English) Zbl 1153.65037
MSC:
65F15
Quadratic inverse eigenvalue problem and its applications to model updating – an overview. (English) Zbl 1152.65424
Schilders, Wilhelmus H. A. (ed.) et al., Model order reduction: Theory, research aspects and applications. Selected papers based on the presentations at the workshop ‘Model order reduction, coupled problems and optimization’, Leiden, The Netherlands, September 19–23, 2005. Berlin: Springer (ISBN 978-3-540-78840-9/hbk). Mathematics in Industry 13, 323-340 (2008).
MSC:
65F18
On the eigenvectors of real even-order \(N\)-way arrays in \(S_{m,2}\). (English) Zbl 1153.15015
Reviewer: Jorma K. Merikoski (Tampere)
Computation of eigenvalues and solutions of regular Sturm-Liouville problems using Haar wavelets. (English) Zbl 1152.65086
A new restarting method in the harmonic projection algorithm for computing the eigenvalues of a nonsymmetric matrix. (English) Zbl 1137.65018
MSC:
65F15
Parallel block Davidson method for solving large scale eigenvalue problem. (Chinese. English summary) Zbl 1174.65370
Numerical methods for computing nonlinear eigenpairs. I: Iso-homogeneous cases. (English) Zbl 1156.65055
Reviewer: Zhen Mei (Toronto)
Left and right inverse eigenpairs problem for \(\kappa\)-persymmetric matrices. (Chinese. English summary) Zbl 1143.65334
MSC:
65F18
An iterative method for the computation of eigenpairs of singular Sturm-Liouville problems. (English) Zbl 1153.34052
Reviewer: Vladimir L. Makarov (Kyïv)
Constructing a special kind of matrices with prescribed defective eigenpairs and a principal submatrix. (Chinese. English summary) Zbl 1140.65317
On the numerical solutions of eigenvalue problems in unbounded domains. (English) Zbl 1137.65425
Boyanov, Todor (ed.) et al., Numerical methods and applications. 6th international conference, NMA 2006, Borovets, Bulgaria, August 20–24, 2006. Revised papers. Berlin: Springer (ISBN 978-3-540-70940-4/pbk). Lecture Notes in Computer Science 4310, 500-507 (2007).
Physical parameters reconstruction of a fixed-fixed mass-spring system from its characteristic data. (English) Zbl 1122.65034
Reviewer: Raffaella Pavani (Milano)
The Jacobi-Davidson method. (English) Zbl 1177.65055
Refining-strategy of block Davidson method for solving large sparse eigenproblems. (Chinese. English summary) Zbl 1107.65035
MSC:
65F15
Transport properties of a piecewise linear transformation and deterministic Lévy flights. (English) Zbl 1113.82068
MSC:
82C70
Parallel preconditioned conjugate gradient optimization of the Rayleigh quotient for the solution of sparse eigenproblems. (English) Zbl 1093.65036
A kind of inverse eigenvalue problems of the Jacobi matrix. (English) Zbl 1098.65040
Reviewer: Amin Boumenir (Carrollton)
MSC:
65F18
On the construction of a real symmetric five-diagonal matrix from its three eigenpairs. (English) Zbl 1094.65030
Reviewer: R. Militaru (Craiova)
Inverse quadratic eigenvalue problems associated with damped mass-spring systems. (Chinese. English summary) Zbl 1095.65035
MSC:
65F18
Discrete vector Sturm-Liouville problems with non-self-adjoint boundary conditions: eigenstructure, orthogonality, and eigenfunctions expansion. (English) Zbl 1077.39018
Reviewer: Stefan Balint (Timişoara)
The eigenvalue problem for the 2D Laplacian in \({\mathcal H}\)-matrix arithmetic and application to the heat and wave equation. (English) Zbl 1055.65049
The construction of a symmetric tridiagonal matrix from major eigen-pairs. (Chinese. English summary) Zbl 1055.15027
Computation of the eigenpairs of two-parameter Sturm-Liouville problems with three-point boundary conditions. (English) Zbl 1056.34089
Reviewer: Chie-Ping Chu (Taipei)
The use of refined harmonic shifts in the implicitly restarted refined harmonic Arnoldi method. (English) Zbl 1048.65033
MSC:
65F15
Inexact Rayleigh quotient-type methods for eigenvalue computations. (English) Zbl 1003.65033
Reviewer: Horst Hollatz (Magdeburg)
MSC:
65F15
An optimization based algorithm for determining eigenpairs of large real pairs. (English) Zbl 1004.65071
Reviewer: Z.Dostál (Ostrava)
A Krylov–Schur algorithm for large eigenproblems. (English) Zbl 1003.65045
SIAM J. Matrix Anal. Appl. 23, No. 3, 601-614 (2002); addendum ibid. 24, No. 2, 599-601 (2002).
Reviewer: E.Kreyszig (Ottawa)
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