Search results for "Lanczos"

Hits ?▲	Authors	Title	Venue	Year	Link	Author keywords
134	Tuyen V. Nguyen, Jing Li	Multipoint Padé approximation using a rational block Lanczos algorithm.	ICCAD	1997	DBLP DOI BibTeX RDF	Lanczos vectors, expansion point, full backward orthogonalization, linear multiport networks, mixed signal design, multipoint matrix Pade approximation, multiport networks, rational block Lanczos algorithm, reduced model, reliable adaptive scheme, single frequency Pade approximation, transfer function, circuit simulation, frequency domain, digital design, analog design, Krylov subspace
105	Mario R. Guarracino, Francesca Perla	A parallel modified block Lanczos' algorithm for distributed memory architectures.	PDP	1995	DBLP DOI BibTeX RDF	parallel block Lanczos algorithm, block Lanczos algorithm, block column wrap-around matrices, eigenproblems, parallel software, parallel algorithms, load-balancing, distributed memory systems, matrix algebra, eigenvalues and eigenfunctions, distributed memory architectures
98	Marek Szularz, Jim Weston, Maurice Clint	Robust Parallel Lanczos Methods for Clustered Eigenvalues.	Euro-Par	1997	DBLP DOI BibTeX RDF	Lanczos, orthogonalization, restart, MPP, deflation
95	Wayne Eberly	Reliable Krylov-based algorithms for matrix null space and rank.	ISSAC	2004	DBLP DOI BibTeX RDF	Frobenius decomposition, block lanczos algorithm, linear system solution, matrix rank, randomized algorithm, black box matrix
94	A. Cooper, Marek Szularz, Jim Weston	Analysis of the Lanczos Error Bounds and Its Application to the Explicitly Restarted Lanczos Algorithm.	PPAM	2001	DBLP DOI BibTeX RDF
83	Bradford Hovinen, Wayne Eberly	A reliable block Lanczos algorithm over small finite fields.	ISSAC	2005	DBLP DOI BibTeX RDF	Lanczos algorithm, linear system solution, parallel computing, randomized algorithm, finite field, black box matrix
76	Jie Chen 0007, Yousef Saad	Lanczos Vectors versus Singular Vectors for Effective Dimension Reduction.	IEEE Trans. Knowl. Data Eng.	2009	DBLP DOI BibTeX RDF
76	Laurence Tianruo Yang, Li Xu, Man Lin, John P. Quinn	A Parallel GNFS Algorithm Based on a Reliable Look-Ahead Block Lanczos Method for Integer Factorization.	EUC	2006	DBLP DOI BibTeX RDF
76	Vicente Hernández, José E. Román, Andrés Tomás	Evaluation of Several Variants of Explicitly Restarted Lanczos Eigensolvers and Their Parallel Implementations.	VECPAR	2006	DBLP DOI BibTeX RDF
76	Roger B. Sidje, Kevin Burrage, Bernard Philippe	An Augmented Lanczos Algorithm for the Efficient Computation of a Dot-Product of a Function of a Large Sparse Symmetric Matrix.	International Conference on Computational Science	2003	DBLP DOI BibTeX RDF
66	Laurence Tianruo Yang, Hai-Xiang Lin	Parallel Performance Analysis of the Improved Quasi-Minimal Residual Method on Bulk Synchronous Parallel Architectures.	J. Supercomput.	1999	DBLP DOI BibTeX RDF	The quasi-minimal residual (IQMR) method, Unsymmetric linear systems, Lanczos process, Bulk synchronous parallel (BSP) model, Performance analysis
62	Laurence Tianruo Yang, Li Xu, Man Lin, John P. Quinn	A Parallel GNFS Algorithm with the Biorthogonal Block Lanczos Method for Integer Factorization.	ATC	2006	DBLP DOI BibTeX RDF
62	Ming-Hong Lai, Chia-Chi Chu, Wu-Shiung Feng	The Multiple Point Global Lanczos Method for MIMO Interconnect Model-Order Reductions.	APCCAS	2006	DBLP DOI BibTeX RDF
58	Laurence Tianruo Yang, Richard P. Brent	The Improved BiCG Method for Large and Sparse Linear Systems on Parallel Distributed Memory Architectures.	IPDPS	2002	DBLP DOI BibTeX RDF
51	Lothar Reichel, Giuseppe Rodriguez, Sebastiano Seatzu	Error estimates for large-scale ill-posed problems.	Numer. Algorithms	2009	DBLP DOI BibTeX RDF	Lanczos bidiagonalization, Gauss quadrature, Error estimate, Ill-posed problem, Tikhonov regularization
51	Damian Weber, Thomas F. Denny	The Solution of McCurley's Discrete Log Challenge.	CRYPTO	1998	DBLP DOI BibTeX RDF	Index Calculus, Lanczos, Discrete Logarithms, Number Field Sieve
51	Roland W. Freund, Noël M. Nachtigal	QMRPACK: A Package of QMR Algorithms.	ACM Trans. Math. Softw.	1996	DBLP DOI BibTeX RDF	Lanczos method, coupled two-term recurrences, non-Hermitian matrices, quasi-minimal residual property, FORTRAN, iterative method, eigenvalues, transfer functions, linear systems, look-ahead, Krylov subspace, three-term recurrences
51	Cornelius Lanczos	Chebyshev polynomials in the solution of large-scale linear systems.	ACM National Meeting (Toronto)	1952	DBLP DOI BibTeX RDF
47	Wontae Hwang, Dongseung Kim	Load Balanced Block Lanczos Algorithm over GF(2) for Factorization of Large Keys.	HiPC	2006	DBLP DOI BibTeX RDF	parallel/cluster computing, RSA key, load balancing, sparse matrix, cryptology
47	Chia-Chi Chu, Ming-Hong Lai, Wu-Shiung Feng	The global Lanczos method for MIMO interconnect order reductions.	ISCAS	2006	DBLP DOI BibTeX RDF
47	Sun Kyung Kim, Tae-Hee Kim	A Study on the Efficient Parallel Block Lanczos Method.	CIS	2004	DBLP DOI BibTeX RDF
47	Zhaojun Bai, Rodney D. Slone, William T. Smith, Qiang Ye 0003	Error bound for reduced system model by Pade approximation via the Lanczos process.	IEEE Trans. Comput. Aided Des. Integr. Circuits Syst.	1999	DBLP DOI BibTeX RDF
47	C. Ko	Parallel execution of Lanczos algorithm in a CAM systolic ring.	SPDP	1990	DBLP DOI BibTeX RDF
44	John H. Reif	Efficient Parallel Computation of the Characteristic Polynomial of a Sparse, Separable Matrix.	Algorithmica	2001	DBLP DOI BibTeX RDF	Nested Dissection, Parallel algorithms, Characteristic polynomial, Sparse linear systems
44	Laurence Tianruo Yang	The Parallel Waveform IQMR Algorithm for Transient Simulation of Semiconductor Devices.	ICPP Workshops	2000	DBLP DOI BibTeX RDF
36	Luc Giraud, Daniel Ruiz 0002, Ahmed Touhami	Krylov and Polynomial Iterative Solvers Combined with Partial Spectral Factorization for SPD Linear Systems.	VECPAR	2004	DBLP DOI BibTeX RDF	Lanczos method, spectral preconditioning, filtering, iterative methods, Chebyshev polynomials, deflation
36	Wayne Eberly	Early termination over small fields.	ISSAC	2003	DBLP DOI BibTeX RDF	Lanczos algorithm, linear system solution, randomized algorithm, finite field, Berlekamp-Massey algorithm, early termination, black box matrix
36	Roland W. Freund, Peter Feldmann	Reduced-Order Modeling of Large Linear Passive Multi-Terminal Circuits Using Matrix-Pade Approximation.	DATE	1998	DBLP DOI BibTeX RDF	linear passive multi-terminal circuit, matrix-Pade approximants, Lanczos-type process, interconnect analysis, simulation, synthesis, transfer function
36	Kevin J. Kerns, Ivan L. Wemple, Andrew T. Yang	Stable and efficient reduction of substrate model networks using congruence transforms.	ICCAD	1995	DBLP DOI BibTeX RDF	mixed-signal integrated circuits, rc network reduction, congruence transform, pade approximation, lanczos process, stability, voronoi tesselation, substrate noise
36	Martin H. Gutknecht, Klaus J. Ressel	Look-Ahead Procedures for Lanczos-Type Product Methods Based on Three-Term Lanczos Recurrences.	SIAM J. Matrix Anal. Appl.	2000	DBLP DOI BibTeX RDF
36	Gorik De Samblanx, Adhemar Bultheel	Nested Lanczos: implicitly restarting an unsymmetric Lanczos algorithm.	Numer. Algorithms	1998	DBLP DOI BibTeX RDF
32	Andreas Frommer, Valeria Simoncini	Error Bounds for Lanczos Approximations of Rational Functions of Matrices.	Numerical Validation in Current Hardware Architectures	2008	DBLP DOI BibTeX RDF
32	James Baglama, Lothar Reichel	Restarted block Lanczos bidiagonalization methods.	Numer. Algorithms	2006	DBLP DOI BibTeX RDF	Mathematics Subject Classifications (2000) 65F15, 15A18
32	Miguel Oscar Bernabeu, Mariam Taroncher, Víctor M. García 0001, Ana Vidal	Parallel Implementation in PC Clusters of a Lanczos-based Algorithm for an Electromagnetic Eigenvalue Problem.	ISPDC	2006	DBLP DOI BibTeX RDF
32	Pierluigi Amodio	A Symplectic Lanczos-Type Algorithm to Compute the Eigenvalues of Positive Definite Hamiltonian Matrices.	International Conference on Computational Science	2003	DBLP DOI BibTeX RDF
32	Laurence Tianruo Yang	Parallel Lanczos Bidiagonalization for Total Least Squares Filter in Robot Navigation.	PARELEC	2002	DBLP DOI BibTeX RDF
32	Laurence Tianruo Yang, Richard P. Brent	The Parallel Improved Lanczos Method for Integer Factorization over Finite Fields for Public Key Cryptosystems.	ICPP Workshops	2001	DBLP DOI BibTeX RDF
32	Peter R. Graves-Morris	Reliability of Lanczos-Type Product Methods from Perturbation Theory.	Reliab. Comput.	2000	DBLP DOI BibTeX RDF
32	Andreas Frommer, Andre Weinberg	Verified Error Bounds for Linear Systems Through the Lanczos Process.	Reliab. Comput.	1999	DBLP DOI BibTeX RDF
32	Peter Feldmann, Roland W. Freund	Efficient linear circuit analysis by Pade approximation via the Lanczos process.	IEEE Trans. Comput. Aided Des. Integr. Circuits Syst.	1995	DBLP DOI BibTeX RDF
32	Peter L. Montgomery	A Block Lanczos Algorithm for Finding Dependencies Over GF(2).	EUROCRYPT	1995	DBLP DOI BibTeX RDF
29	Laurent Choy, Serge G. Petiton, Mitsuhisa Sato	Resolution of large symmetric eigenproblems on a world wide grid.	CCGRID	2007	DBLP DOI BibTeX RDF
29	Zhen Ye, Jasjit S. Suri, Yajie Sun, Roman Janer	Four image interpolation techniques for ultrasound breast phantom data acquired using Fischer's full field digital mammography and ultrasound system (FFDMUS): a comparative approach.	ICIP (2)	2005	DBLP DOI BibTeX RDF
29	Susumu Yamada, Toshiyuki Imamura, Masahiko Machida	16.447 TFlops and 159-Billion-dimensional Exact-diagonalization for Trapped Fermion-Hubbard Model on the Earth Simulator.	SC	2005	DBLP DOI BibTeX RDF
29	E. A. Flinn	A Modification of Filon's Method of Numerical Integration.	J. ACM	1960	DBLP DOI BibTeX RDF
22	Marielba Rojas, Sandra A. Santos 0001, Danny C. Sorensen	Algorithm 873:: LSTRS: MATLAB software for large-scale trust-region subproblems and regularization.	ACM Trans. Math. Softw.	2008	DBLP DOI BibTeX RDF	ARPACK, Lanczos method, constrained quadratic optimization, regularization, MATLAB, trust-region
22	Yunkai Zhou, Yousef Saad	Block Krylov-Schur method for large symmetric eigenvalue problems.	Numer. Algorithms	2008	DBLP DOI BibTeX RDF	Block method, Krylov-Schur, Lanczos, Implicit restart
22	James V. Lambers	Practical Implementation of Krylov Subspace Spectral Methods.	J. Sci. Comput.	2007	DBLP DOI BibTeX RDF	Lanczos method, Spectral methods, Gaussian quadrature
22	Kazumaro Aoki, Takeshi Shimoyama, Hiroki Ueda	Experiments on the Linear Algebra Step in the Number Field Sieve.	IWSEC	2007	DBLP DOI BibTeX RDF	block Lanczos, parallel computation, ethernet, integer factoring, number field sieve
22	James Baglama, Daniela Calvetti, Lothar Reichel	Algorithm 827: irbleigs: A MATLAB program for computing a few eigenpairs of a large sparse Hermitian matrix.	ACM Trans. Math. Softw.	2003	DBLP DOI BibTeX RDF	Block Lanczos method, generalized eigenproblem, polynomial acceleration, singular values, eigenvalue computation
22	Peter Feldmann, Roland W. Freund	Circuit noise evaluation by Padé approximation based model-reduction techniques.	ICCAD	1997	DBLP DOI BibTeX RDF	Pade approximation, Lanczos process, circuit simulation, noise analysis, reduced-order modeling
22	Roland W. Freund, Peter Feldmann	Reduced-order modeling of large passive linear circuits by means of the SYPVL algorithm.	ICCAD	1996	DBLP DOI BibTeX RDF	passive networks, Pade approximations, Lanczos algorithm, symmetric formulation, interconnect, network synthesis, reduced-order modeling
22	John H. Reif	Efficient Parallel Solution of Sparse Eigenvalue and Eigenvector Problems.	FOCS	1995	DBLP DOI BibTeX RDF	parallel solution, sparse eigenvalue, eigenvector problems, symmetric sparse matrix, algebraic version, perturbation methods, polylog parallel algorithm, work bounds, sparse Lanczos methods, sparsity graph, parallel algorithms, planar graph, matrix algebra, eigenvalues and eigenfunctions, characteristic polynomial
18	Bo Feng, Gang Wu	A Block Lanczos Method for Large-Scale Quadratic Minimization Problems with Orthogonality Constraints.	SIAM J. Sci. Comput.	2024	DBLP DOI BibTeX RDF
18	Evert Provoost, Wim Michiels	The Lanczos Tau Framework for Time-Delay Systems: Padé Approximation and Collocation Revisited.	CoRR	2024	DBLP DOI BibTeX RDF
18	Wenhao Li, Zongyuan Han, Andrew J. Wathen, Shengxin Zhu	Will Lanczos Iterations Generate Symmetric Quadrature Nodes?	CoRR	2024	DBLP DOI BibTeX RDF
18	Angelo A. Casulli, Igor Simunec	A low-memory Lanczos method with rational Krylov compression for matrix functions.	CoRR	2024	DBLP DOI BibTeX RDF
18	Fernando Alvarruiz, Carmen Campos, José E. Román	Thick-restarted joint Lanczos bidiagonalization for the GSVD.	J. Comput. Appl. Math.	2024	DBLP DOI BibTeX RDF
18	Ronie C. Bituin, Ronielle B. Antonio	Ensemble Model of Lanczos and Bicubic Interpolation with Neural Network and Resampling for Image Enhancement.	ICSIM	2024	DBLP DOI BibTeX RDF
18	Ryan M. Zbikowski, Calvin W. Johnson	Bootstrapped block Lanczos for large-dimension eigenvalue problems.	Comput. Phys. Commun.	2023	DBLP DOI BibTeX RDF
18	Ke Chen, Junhui Chen, Xuanying Hou, Mingwei Zhuang, Qing Huo Liu	Broadband S-Parameter Simulation Based on the Mixed Finite-Element Method and Symmetric Lanczos Algorithm.	IEEE Access	2023	DBLP DOI BibTeX RDF
18	Bo Feng, Gang Wu	A block Lanczos method for large-scale quadratic minimization problems with orthogonality constraints.	CoRR	2023	DBLP DOI BibTeX RDF
18	Noah Amsel, Tyler Chen, Anne Greenbaum, Cameron Musco, Christopher Musco	Near-Optimality Guarantees for Approximating Rational Matrix Functions by the Lanczos Method.	CoRR	2023	DBLP DOI BibTeX RDF
18	Wenhao Li, Zongyuan Han, Yixuan Huang, Shengxin Zhu	An analysis on stochastic Lanczos quadrature with asymmetric quadrature nodes.	CoRR	2023	DBLP DOI BibTeX RDF
18	Justin Baker, Elena Cherkaev, Vladimir Druskin, Shari Moskow, Mikhail Zaslavsky	Regularized Reduced Order Lippman-Schwinger-Lanczos Method for Inverse Scattering Problems in the Frequency Domain.	CoRR	2023	DBLP DOI BibTeX RDF
18	Tyler Chen, Thomas Trogdon	Stability of the Lanczos algorithm on matrices with regular spectral distributions.	CoRR	2023	DBLP DOI BibTeX RDF
18	James Baglama, Vasilije Perovic, Jennifer Picucci	Hybrid iterative refined restarted Lanczos bidiagonalization methods.	Numer. Algorithms	2023	DBLP DOI BibTeX RDF
18	Zhigang Jia, Xuan Liu, Jingfei Zhu, Meixiang Zhao	Harmonic multi-symplectic Lanczos algorithm for quaternion singular triplets.	Numer. Algorithms	2023	DBLP DOI BibTeX RDF
18	Stefano Cipolla, Stefano Pozza, Michela Redivo-Zaglia, Niel Van Buggenhout	A Lanczos-type procedure for tensors.	Numer. Algorithms	2023	DBLP DOI BibTeX RDF
18	William Kirby, Mario Motta, Antonio Mezzacapo	Exact and efficient Lanczos method on a quantum computer.	Quantum	2023	DBLP DOI BibTeX RDF
18	Zhigang Jia, Xuan Liu, Meixiang Zhao	The implicitly restarted multi-symplectic block-Lanczos method for large-scale Hermitian quaternion matrix eigenvalue problem and applications.	J. Comput. Appl. Math.	2023	DBLP DOI BibTeX RDF
18	Tommaso Gorni, Oscar Baseggio, Pietro Delugas, Stefano Baroni, Iurii Timrov	turboMagnon - A code for the simulation of spin-wave spectra using the Liouville-Lanczos approach to time-dependent density-functional perturbation theory.	Comput. Phys. Commun.	2022	DBLP DOI BibTeX RDF
18	Erin C. Carson, Tomás Gergelits, Ichitaro Yamazaki	Mixed precision s-step Lanczos and conjugate gradient algorithms.	Numer. Linear Algebra Appl.	2022	DBLP DOI BibTeX RDF
18	Jun Feng 0007, Laurence T. Yang, Ronghao Zhang, Weizhong Qiang, Jinjun Chen	Privacy Preserving High-Order Bi-Lanczos in Cloud-Fog Computing for Industrial Applications.	IEEE Trans. Ind. Informatics	2022	DBLP DOI BibTeX RDF
18	Zhi Zhu, Jingya Chang	Solving the Adaptive Cubic Regularization Sub-Problem Using the Lanczos Method.	Symmetry	2022	DBLP DOI BibTeX RDF
18	Davide Palitta, Stefano Pozza, Valeria Simoncini	The Short-Term Rational Lanczos Method and Applications.	SIAM J. Sci. Comput.	2022	DBLP DOI BibTeX RDF
18	Kensuke Aihara, Akira Imakura, Keiichi Morikuni	Cross-Interactive Residual Smoothing for Global and Block Lanczos-Type Solvers for Linear Systems with Multiple Right-Hand Sides.	SIAM J. Matrix Anal. Appl.	2022	DBLP DOI BibTeX RDF
18	Xiaojing Jia, Xin Liang, Chungen Shen, Lei-Hong Zhang	Solving the Cubic Regularization Model by a Nested Restarting Lanczos Method.	SIAM J. Matrix Anal. Appl.	2022	DBLP DOI BibTeX RDF
18	Tyler Chen, Anne Greenbaum, Cameron Musco, Christopher Musco	Error Bounds for Lanczos-Based Matrix Function Approximation.	SIAM J. Matrix Anal. Appl.	2022	DBLP DOI BibTeX RDF
18	Ryan M. Zbikowski, Calvin W. Johnson	Bootstrapped Block Lanczos for large-dimension eigenvalue problems.	CoRR	2022	DBLP DOI BibTeX RDF
18	Bo Feng, Gang Wu	On convergence of the generalized Lanczos trust-region method for trust-region subproblems.	CoRR	2022	DBLP DOI BibTeX RDF
18	Jinzhi Huang, Zhongxiao Jia	A skew-symmetric Lanczos bidiagonalization method for computing several largest eigenpairs of a large skew-symmetric matrix.	CoRR	2022	DBLP DOI BibTeX RDF
18	Fernando Alvarruiz, Carmen Campos, José E. Román	Thick-restarted joint Lanczos bidiagonalization for the GSVD.	CoRR	2022	DBLP DOI BibTeX RDF
18	Haibo Li, Guangming Tan, Tong Zhao	Backward error analysis of the Lanczos bidiagonalization with reorthogonalization.	CoRR	2022	DBLP DOI BibTeX RDF
18	Stefano Cipolla, Stefano Pozza, Michela Redivo-Zaglia, Niel Van Buggenhout	A Lanczos-type procedure for tensors.	CoRR	2022	DBLP DOI BibTeX RDF
18	Qichen Xu, Tyler Chen	A posteriori error bounds for the block-Lanczos method for matrix function approximation.	CoRR	2022	DBLP DOI BibTeX RDF
18	Abdeslem Hafid Bentbib, M. El Ghomari, Khalide Jbilou, Lothar Reichel	The extended symmetric block Lanczos method for matrix-valued Gauss-type quadrature rules.	J. Comput. Appl. Math.	2022	DBLP DOI BibTeX RDF
18	Sophie Pientka, Michael Schäfer 0003, Jonathan Pfaff, Heiko Schwarz, Detlev Marpe, Thomas Wiegand	Deep video coding with gradient-descent optimized motion compensation and Lanczos filtering.	PCS	2022	DBLP DOI BibTeX RDF
18	Hongwei Chen, Douglas Hendry, Phillip Weinberg, Adrian E. Feiguin	Systematic improvement of neural network quantum states using Lanczos.	NeurIPS	2022	DBLP BibTeX RDF
18	Zhongxiao Jia, Fa Wang	The Convergence of the Generalized Lanczos Trust-Region Method for the Trust-Region Subproblem.	SIAM J. Optim.	2021	DBLP DOI BibTeX RDF
18	Jawad F. Al-Asad	Ultrasound image restoration through orthogonal and oblique subspace projection based on Lanczos decomposition.	J. Electronic Imaging	2021	DBLP DOI BibTeX RDF
18	Qiang Guo 0003, Yongxia Zhang, Shi Qiu, Caiming Zhang 0001	Accelerating patch-based low-rank image restoration using kd-forest and Lanczos approximation.	Inf. Sci.	2021	DBLP DOI BibTeX RDF
18	Abdulaziz Alqahtani, Silvia Gazzola, Lothar Reichel, Giuseppe Rodriguez	On the block Lanczos and block Golub-Kahan reduction methods applied to discrete ill-posed problems.	Numer. Linear Algebra Appl.	2021	DBLP DOI BibTeX RDF
18	Lei-Hong Zhang, Xijun Ma, Chungen Shen	A Structure-Exploiting Nested Lanczos-Type Iteration for the Multiview Canonical Correlation Analysis.	SIAM J. Sci. Comput.	2021	DBLP DOI BibTeX RDF
18	Felix Loh, Kewal K. Saluja, Parameswaran Ramanathan	Fault Tolerant Lanczos Eigensolver via an Invariant Checking Method.	J. Electron. Test.	2021	DBLP DOI BibTeX RDF
18	John C. Urschel	Uniform Error Estimates for the Lanczos Method.	SIAM J. Matrix Anal. Appl.	2021	DBLP DOI BibTeX RDF
18	Tyler Chen, Thomas Trogdon, Shashanka Ubaru	Analysis of stochastic Lanczos quadrature for spectrum approximation.	CoRR	2021	DBLP BibTeX RDF
18	Davide Palitta, Stefano Pozza, Valeria Simoncini	The Short-term Rational Lanczos Method and Applications.	CoRR	2021	DBLP BibTeX RDF
18	Vladimir Druskin, Shari Moskow, Mikhail Zaslavsky	Lippmann-Schwinger-Lanczos algorithm for inverse scattering problems.	CoRR	2021	DBLP BibTeX RDF
18	Dorota Simonová, Petr Tichý	When does the Lanczos algorithm compute exactly?	CoRR	2021	DBLP BibTeX RDF