Matrix Computations

Rank revealing QR factorizations

Chan, T. F.-C. (1987) · Linear Algebra and its Applications · doi:10.1016/0024-3795(87)90103-0 · Cited by 529

Angle-domain common-image gathers by wavefield continuation methods

Sava, P. C., & Fomel, S. B. (2003) · Geophysics · doi:10.1190/1.1581078 · Cited by 530

Ambient vibration testing of historic masonry towers for structural identification and damage assessment

Gentile, C., & Saisi, A. (2006) · Construction and Building Materials · doi:10.1016/j.conbuildmat.2006.01.007 · Cited by 528

Low-Rank Matrix Completion by Riemannian Optimization

Vandereycken, B. (2013) · SIAM Journal on Optimization · doi:10.1137/110845768 · Cited by 528

Eigenvector Centrality Mapping for Analyzing Connectivity Patterns in fMRI Data of the Human Brain

Lohmann, G., Margulies, D. S., Horstmann, A., Pleger, B., Lepsien, J., Goldhahn, D., Schloegl, H., Stümvoll, M., Villringer, A., & Turner, R. (2010) · PLoS ONE · doi:10.1371/journal.pone.0010232 · Cited by 507

Fast B-spline transforms for continuous image representation and interpolation

Unser, M. A., Aldroubi, A., & Eden, M. (1991) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.75515 · Cited by 528

An analytical constant modulus algorithm

van der Veen, A.-J., & Paulraj, A. J. (1996) · IEEE Transactions on Signal Processing · doi:10.1109/78.502327 · Cited by 528

Generalized Reduced Rank Tests Using the Singular Value DecompositionPreprint

Kleibergen, F. R., & Paap, R. (2003) · SSRN Electronic Journal · doi:10.2139/ssrn.373420 · Cited by 527

Low-Complexity Equalization of OFDM in Doubly Selective Channels

Schniter, P. (2004) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2004.823503 · Cited by 523

GYRE: an open-source stellar oscillation code based on a new Magnus Multiple Shooting scheme

Townsend, R. H. D., & Teitler, S. A. (2013) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stt1533 · Cited by 522

A class of parallel tiled linear algebra algorithms for multicore architectures

Buttari, A., Julien Langou, F., Jakub Kurzak, A., & Dongarra, J. J. (2008) · Parallel Computing · doi:10.1016/j.parco.2008.10.002 · Cited by 524

As-rigid-as-possible shape interpolation

Alexa, M., Cohen‐Or, D., & Levin, D. (2000) · ACM SIGGRAPH Annual Conference on Computer Graphics and Interactive Techniques (SIGGRAPH) · doi:10.1145/344779.344859 · Cited by 520

Quantum machine learning: a classical perspective

Ciliberto, C., Herbster, M., Ialongo, A. D., Pontil, M., Rocchetto, A., Severini, S., & Wossnig, L. (2018) · Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.2017.0551 · Cited by 518

Hankel Matrix Rank Minimization with Applications to System Identification and Realization

Fazel, M., Pong, T. K., Sun, D., & Tseng, P. (2013) · SIAM Journal on Matrix Analysis and Applications · doi:10.1137/110853996 · Cited by 486

Generalized Thresholding of Large Covariance Matrices

Rothman, A. J., Levina, E., & Zhu, J. (2009) · Journal of the American Statistical Association · doi:10.1198/jasa.2009.0101 · Cited by 495

Sparse spatial autoregressions

Pace, R. K., & Barry, R. P. (1997) · Statistics & Probability Letters · doi:10.1016/s0167-7152(96)00140-x · Cited by 583

Metric Learning: A Survey

Kulis, B. (2013) · now publishers, Inc. eBooks · doi:10.1561/9781601986979 · Cited by 510

Central and Sensory Contributions to the Activation and Organization of Muscle Synergies during Natural Motor Behaviors

Cheung, V. C. K., d’Avella, A., Tresch, M. C., & Bizzi, E. (2005) · Journal of Neuroscience · doi:10.1523/jneurosci.4904-04.2005 · Cited by 489

Fixing the Complexity of the Sphere Decoder for MIMO Detection

Barbero, L. G., & Thompson, J. (2008) · IEEE Transactions on Wireless Communications · doi:10.1109/twc.2008.060378 · Cited by 493

Information Theoretic Learning

Deniz Erdogmus, B., & Príncipe, J. C. (2009) · IGI Global eBooks · doi:10.4018/978-1-59904-849-9.ch133 · Cited by 536

Fast Monte Carlo Algorithms for Matrices I: Approximating Matrix Multiplication

Petros Drineas, B., Kannan, R., & Mahoney, M. W. (2006) · SIAM Journal on Computing · doi:10.1137/s0097539704442684 · Cited by 500

Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow

Bao, W., & Du, Q. (2004) · SIAM Journal on Scientific Computing · doi:10.1137/s1064827503422956 · Cited by 495

A General Framework for Motion Segmentation: Independent, Articulated, Rigid, Non-rigid, Degenerate and Non-degenerate

Yan, J., & Pollefeys, M. (2006) · Lecture notes in computer science · doi:10.1007/11744085_8 · Cited by 507

Estimating two-dimensional frequencies by matrix enhancement and matrix pencil

Hua, Y. (1992) · IEEE Transactions on Signal Processing · doi:10.1109/78.157226 · Cited by 508

Fast monte-carlo algorithms for finding low-rank approximations

FRIEZE, A. M., Kannan, R., & Vempala, S. (2004) · Journal of the ACM · doi:10.1145/1039488.1039494 · Cited by 508

Incremental Singular Value Decomposition of Uncertain Data with Missing Values

Brand, M. (2002) · Lecture notes in computer science · doi:10.1007/3-540-47969-4_47 · Cited by 511

Searching the Web

Arasu, A., Cho, J. J., García-Molina, H., Paepcke, A., & Raghavan, S. (2001) · ACM Transactions on Internet Technology · doi:10.1145/383034.383035 · Cited by 504

Designing structured tight frames via an alternating projection method

Tropp, J. A., Dhillon, I. S., Heath, R. W., & Strohmer, T. (2005) · IEEE Transactions on Information Theory · doi:10.1109/tit.2004.839492 · Cited by 493

Linearized Buffered Ca2+Diffusion in Microdomains and Its Implications for Calculation of [Ca2+] at the Mouth of a Calcium Channel

Naraghi, M., & Neher, E. (1997) · Journal of Neuroscience · doi:10.1523/jneurosci.17-18-06961.1997 · Cited by 493

An Augmented Lagrangian Method for Total Variation Video Restoration

Chan, S. H., Khoshabeh, R., Gibson, K. B., Gill, P. E., & Nguyen, T. Q. (2011) · IEEE Transactions on Image Processing · doi:10.1109/tip.2011.2158229 · Cited by 492

Mining the Web's link structure

Chakrabarti, S., Dom, B., Kumar, S., Raghavan, P., Rajagopalan, S., Tomkins, A., Gibson, D., & Kleinberg, J. M. (1999) · Computer · doi:10.1109/2.781636 · Cited by 501

Normalized Iterative Hard Thresholding: Guaranteed Stability and Performance

Blumensath, T., & Davies, M. E. (2010) · IEEE Journal of Selected Topics in Signal Processing · doi:10.1109/jstsp.2010.2042411 · Cited by 486

Computational Methods for Linear Matrix Equations

Simoncini, V. (2016) · SIAM Review · doi:10.1137/130912839 · Cited by 489

Generalized power method for sparse principal component analysisPreprint

Journée, M., Nesterov, Y. E., Richtárik, P., & Sepulchre, R. J. (2008) · arXiv (Cornell University) · doi:10.48550/arxiv.0811.4724 · Cited by 478

A general method for constructing multidimensional molecular potential energy surfaces from ab initio calculations

Ho, T., & Rabitz, H. (1996) · The Journal of Chemical Physics · doi:10.1063/1.470984 · Cited by 446

A theory of pseudoskeleton approximations

Goreinov, S. A., Tyrtyshnikov, E. E., & Замарашкин, Н. Л. (1997) · Linear Algebra and its Applications · doi:10.1016/s0024-3795(96)00301-1 · Cited by 498

A Bayesian network of eutrophication models for synthesis, prediction, and uncertainty analysis

Borsuk, M. E., Stow, C. A., & Reckhow, K. H. (2003) · Ecological Modelling · doi:10.1016/j.ecolmodel.2003.08.020 · Cited by 494

Variational quantum approaches for computing vibrational energies of polyatomic molecules

Bowman, J. M., Carrington, T., & Meyer, H. (2008) · Molecular Physics · doi:10.1080/00268970802258609 · Cited by 486

Focussing matrices for coherent signal-subspace processing

Hung, H., & Kaveh, M. (1988) · IEEE Transactions on Acoustics Speech and Signal Processing · doi:10.1109/29.1655 · Cited by 494

Fast low-rank modifications of the thin singular value decomposition

Brand, M. (2005) · Linear Algebra and its Applications · doi:10.1016/j.laa.2005.07.021 · Cited by 493

A Survey on PageRank Computing

Berkhin, P. (2005) · Internet Mathematics · doi:10.1080/15427951.2005.10129098 · Cited by 470

Decorrelating decision-feedback multiuser detector for synchronous code-division multiple-access channel

Duel‐Hallen, A. (1993) · IEEE Transactions on Communications · doi:10.1109/26.216499 · Cited by 485

Trust-Region Methods on Riemannian Manifolds

Absil, P.-A., Baker, C. G., & Gallivan, K. A. (2006) · Foundations of Computational Mathematics · doi:10.1007/s10208-005-0179-9 · Cited by 482

Practical algorithms for a family of waterfilling solutions

Palomar, D. P., & Fonollosa, J. R. (2005) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2004.840816 · Cited by 479

NODE CLASSIFICATION IN SOCIAL NETWORKS

Bhagat, S., Cormode, G., & Muthukrishnan, S. (2011) · Cited by 500

Real-space mesh techniques in density-functional theory

Beck, T. L. (2000) · Reviews of Modern Physics · doi:10.1103/revmodphys.72.1041 · Cited by 472

Diffusion Strategies Outperform Consensus Strategies for Distributed Estimation Over Adaptive Networks

Tu, S.-Y., & Sayed, A. H. (2012) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2012.2217338 · Cited by 464

A Multiplicative Calderon Preconditioner for the Electric Field Integral Equation

Andriulli, F. P., Cools, K., Bağcı, H., et al. (2008) · IEEE Transactions on Antennas and Propagation · doi:10.1109/tap.2008.926788 · Cited by 476

Signal processing applications of oblique projection operators

Behrens, R. T., & Scharf, L. L. (1994) · IEEE Transactions on Signal Processing · doi:10.1109/78.286957 · Cited by 476

Clustering Large Graphs via the Singular Value Decomposition

Drineas, P., FRIEZE, A. M., Kannan, R., et al. (2004) · Machine Learning · doi:10.1023/b:mach.0000033113.59016.96 · Cited by 475

A Singularly Valuable Decomposition: The SVD of a Matrix

Kalman, D. (1996) · College Mathematics Journal · doi:10.1080/07468342.1996.11973744 · Cited by 535

Nonlinear Predictive Control and Moving Horizon Estimation — An Introductory Overview

Allgöwer, F., Badgwell, T. A., Qin, S. J., Rawlings, J. B., & Wright, S. J. (1999) · Springer eBooks · doi:10.1007/978-1-4471-0853-5_19 · Cited by 476

Optimization algorithms exploiting unitary constraints

Manton, J. H. (2002) · IEEE Transactions on Signal Processing · doi:10.1109/78.984753 · Cited by 474

An Overlapping Schwarz Method for Spectral Element Solution of the Incompressible Navier–Stokes Equations

Fischer, P. (1997) · Journal of Computational Physics · doi:10.1006/jcph.1997.5651 · Cited by 473

Fully automated (operational) modal analysis

Reynders, E. P. B., Houbrechts, J., & Roeck, G. D. (2012) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2012.01.007 · Cited by 473

Applying Lee-Carter under conditions of variable mortality decline

Booth, H., Maindonald, J. H., & Smith, L. (2002) · Population Studies · doi:10.1080/00324720215935 · Cited by 470

Blind separation of mixture of independent sources through a quasi-maximum likelihood approach

Pham, D. T., & Garat, P. (1997) · IEEE Transactions on Signal Processing · doi:10.1109/78.599941 · Cited by 472

Fast Convex Optimization Algorithms for Exact Recovery of a Corrupted Low-Rank Matrix

Lin, Z., Ganesh, A., Wright, J. N., et al. (2009) · Illinois Digital Environment for Access to Learning and Scholarship (University of Illinois at Urbana-Champaign) · Cited by 471

Gradient Pursuits

Blumensath, T., & Davies, M. E. (2008) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2007.916124 · Cited by 466

Relative-Error $CUR$ Matrix Decompositions

Drineas, P., Mahoney, M. W., & Muthukrishnan, S. (2008) · SIAM Journal on Matrix Analysis and Applications · doi:10.1137/07070471x · Cited by 469

Candid covariance-free incremental principal component analysis

Weng, J., Zhang, Y., & Hwang, W.-S. (2003) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2003.1217609 · Cited by 469

Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions

Oseledets, I. V., & Tyrtyshnikov, E. E. (2009) · SIAM Journal on Scientific Computing · doi:10.1137/090748330 · Cited by 468

Near-optimal sensor placements in Gaussian processes

Guestrin, C., Krause, A., & Singh, A. (2005) · International Conference on Machine Learning · doi:10.1145/1102351.1102385 · Cited by 1,906

Tensor decompositions, alternating least squares and other tales

Comon, P., Luciani, X., & de Almeida, A. L. F. (2009) · Journal of Chemometrics · doi:10.1002/cem.1236 · Cited by 468

Sigma-Point Kalman Filters for Nonlinear Estimation and Sensor-Fusion: Applications to Integrated Navigation

van der Merwe, R., Wan, E. A., & Julier, S. J. (2004) · AIAA Guidance, Navigation, and Control Conference and Exhibit · doi:10.2514/6.2004-5120 · Cited by 466

Endmember selection for multiple endmember spectral mixture analysis using endmember average RMSE

Dennison, P. E., & Roberts, D. A. (2003) · Remote Sensing of Environment · doi:10.1016/s0034-4257(03)00135-4 · Cited by 465

Fast Principal-Component Analysis Reveals Convergent Evolution of ADH1B in Europe and East Asia

Galinsky, K. J., Bhatia, G., Loh, P., Georgiev, S., Mukherjee, S., Patterson, N. J., & Price, A. L. (2016) · The American Journal of Human Genetics · doi:10.1016/j.ajhg.2015.12.022 · Cited by 374

Data-driven operator inference for nonintrusive projection-based model reduction

Peherstorfer, B., & Willcox, K. E. (2016) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2016.03.025 · Cited by 466

Singular-value decomposition and the Grassberger-Procaccia algorithm

Albano, A. M., Muench, J., Schwartz, C., Mees, A. I., & Rapp, P. E. (1988) · Physical Review A · doi:10.1103/physreva.38.3017 · Cited by 461

Detection of the Climate Response to the Solar Cycle

Stevens, M. J., & North, G. R. (1996) · Journal of the Atmospheric Sciences · doi:10.1175/1520-0469(1996)053 · Cited by 68

Learning Hash Functions for Cross-View Similarity Search

Kumar, S., & Udupa, R. (2012) · Cited by 490

Flexible Manufacturing Systems: A Review of Analytical Models

Buzacott, J. A., & Yao, D. D. W. (1986) · Management Science · doi:10.1287/mnsc.32.7.890 · Cited by 463

B-SPLINE SIGNAL PROCESSING: PART II-EFFICIENT DESIGN AND APPLICATIONS

Unser, M. A., Aldroubi, A., & Eden, M. (1993) · Cited by 463

An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces

Schillinger, D., Dede’, L., Scott, M. A., Evans, J. A., Borden, M. J., Rank, E., & Hughes, T. J. R. (2012) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2012.03.017 · Cited by 464

Performance of a new partitioned procedure versus a monolithic procedure in fluid–structure interaction

Degroote, J., Bathe, K., & Vierendeels, J. (2009) · Computers & Structures · doi:10.1016/j.compstruc.2008.11.013 · Cited by 461

The distribution of target registration error in rigid-body point-based registration

Fitzpatrick, J. M., & West, J. B. (2001) · IEEE Transactions on Medical Imaging · doi:10.1109/42.952729 · Cited by 459

ObjectRank

Balmin, A., Hristidis, V., & Yannis Papakonstantinou, D. (2004) · Elsevier eBooks · doi:10.1016/b978-012088469-8.50051-6 · Cited by 480

Optimizing matrix multiply using PHiPAC

Bilmes, J., Asanović, K., Chin, C., & Demmel, J. (2014) · International Conference on Supercomputing · doi:10.1145/2591635.2667174 · Cited by 454

Realising the future: forecasting with high‐frequency‐based volatility (HEAVY) models

Shephard, N., & Sheppard, K. K. (2010) · Journal of Applied Econometrics · doi:10.1002/jae.1158 · Cited by 436

Uncertainty bounds on modal parameters obtained from stochastic subspace identification

Reynders, E., Pintelon, R., & De Roeck, G. (2008) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2007.10.009 · Cited by 454

Optimal Rates of Convergence for Covariance Matrix Estimation

Cai, T., Zhang, C.-H., Zhou, H. H., et al. (2008) · Cited by 456

A New Look at Proper Orthogonal Decomposition

Rathinam, M., & Petzold, L. R. (2003) · SIAM Journal on Numerical Analysis · doi:10.1137/s0036142901389049 · Cited by 455

Redundant Multiscale Transforms and Their Application for Morphological Component Separation

Starck, J., Elad, M., & Donoho, D. L. (2004) · Advances in imaging and electron physics · doi:10.1016/s1076-5670(04)32006-9 · Cited by 434

SRDA: An Efficient Algorithm for Large-Scale Discriminant Analysis

Cai, D., He, X., & Han, J. (2007) · IEEE Transactions on Knowledge and Data Engineering · doi:10.1109/tkde.2007.190669 · Cited by 449

Multiresolution Dynamic Mode Decomposition

Kutz, J. N., Fu, X., & Brunton, S. L. (2016) · SIAM Journal on Applied Dynamical Systems · doi:10.1137/15m1023543 · Cited by 454

Ab initio molecular dynamics: Propagating the density matrix with Gaussian orbitals. II. Generalizations based on mass-weighting, idempotency, energy conservation and choice of initial conditions

Iyengar, S. S., Schlegel, H. B., Millam, J. M., et al. (2001) · The Journal of Chemical Physics · doi:10.1063/1.1416876 · Cited by 451

Unsupervised Multiway Data Analysis: A Literature Survey

Acar, E., & Yener, B. (2008) · IEEE Transactions on Knowledge and Data Engineering · doi:10.1109/tkde.2008.112 · Cited by 447

Structural computations with the singular value decomposition of the equilibrium matrix

Pellegrino, S. (1993) · International Journal of Solids and Structures · doi:10.1016/0020-7683(93)90210-x · Cited by 449

Assessment of methods for mapping snow cover from MODIS

Rittger, K. E., Painter, T. H., & Dozier, J. (2012) · Advances in Water Resources · doi:10.1016/j.advwatres.2012.03.002 · Cited by 417

Stability of muscle synergies for voluntary actions after cortical stroke in humans

Cheung, V. C. K., Piron, L., Agostini, M., Silvoni, S., Turolla, A., & Bizzi, E. (2009) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0910114106 · Cited by 438

Finite element methods for incompressible viscous flow

Glowinski, R. (2003) · Handbook of numerical analysis · doi:10.1016/s1570-8659(03)09003-3 · Cited by 447

A Randomized Algorithm for Principal Component Analysis

Rokhlin, V., Szlam, A. D., & Tygert, M. (2009) · SIAM Journal on Matrix Analysis and Applications · doi:10.1137/080736417 · Cited by 424

Density Ratio Estimation in Machine Learning

Sugiyama, M., Suzuki, T., & Kanamori, T. (2012) · Cambridge University Press eBooks · doi:10.1017/cbo9781139035613 · Cited by 463

MindReader: Querying Databases Through Multiple Examples

Ishikawa, Y., Subramanya, R., & Faloutsos, C. (2018) · doi:10.1184/r1/6607295 · Cited by 446

Estimating differential quantities using polynomial fitting of osculating jets

Cazals, F., & Pouget, M. (2004) · Computer Aided Geometric Design · doi:10.1016/j.cagd.2004.09.004 · Cited by 446

Matrix: Sparse and Dense Matrix Classes and Methods

Bates, D. M., Maechler, M., & Jagan, M. (2000) · doi:10.32614/cran.package.matrix · Cited by 440

A bisection method for computing the H∞ norm of a transfer matrix and related problems

Boyd, S., Balakrishnan, V., & Kabamba, P. T. (1989) · Mathematics of Control Signals and Systems · doi:10.1007/bf02551385 · Cited by 443

The Pre-Image Problem in Kernel Methods

Kwok, J. T.-Y., & Tsang, I. W.-H. (2004) · IEEE Transactions on Neural Networks · doi:10.1109/tnn.2004.837781 · Cited by 440

Efficient leave-one-out cross-validation of kernel fisher discriminant classifiers

Cawley, G. C., & Talbot, N. L. C. (2003) · Pattern Recognition · doi:10.1016/s0031-3203(03)00136-5 · Cited by 442

Estimating single-channel kinetic parameters from idealized patch-clamp data containing missed events

Qin, F., Auerbach, A. L., & Sachs, F. (1996) · Biophysical Journal · doi:10.1016/s0006-3495(96)79568-1 · Cited by 440

Matrix perturbation theory

(1991) · Mathematics and Computers in Simulation · doi:10.1016/0378-4754(91)90038-5 · Cited by 2,474

Numerical optimization

Braun, W. J., & Murdoch, D. J. (2021) · Cambridge University Press eBooks · doi:10.1017/9781108993456.011 · Cited by 14,099

Matrix Analysis

Horn, R. A., & Johnson, C. R. (1985) · Cited by 22,203

Methods of conjugate gradients for solving linear systems

Hestenes, M. R., & Stiefel, E. L. (1952) · Journal of research of the National Bureau of Standards · doi:10.6028/jres.049.044 · Cited by 8,142

Convex Optimization

Boyd, S., & Vandenberghe, L. (2004) · doi:10.1017/cbo9780511804441 · Cited by 56,601