Publications for Lars Eldén
Co-author map based on ISI articles 2007-

Keywords

tensor temperature squares solving singular sideways numerical model matrix krylov inverse ill-posed heat equation elliptic consider cauchy boundary approximation algorithm

Journal Articles

Xiaoli Feng and Lars Eldén
  Solving a Cauchy problem for a 3D elliptic PDE with variable coefficients by a quasi-boundary-value method
  Inverse Problems, 2014, 30(1), 015005.
   Fulltext  PDF  

Zohreh Ranjbar and Lars Eldén
  Solving an Ill-Posed Cauchy Problem for a Two-Dimensional Parabolic PDE with Variable Coefficients Using a Preconditioned GMRES
  SIAM Journal on Scientific Computing, 2014, 36(5), B868-B886.

Mansoor Rezghi, S. Mohammad Hosseini and Lars Eldén
  Best Kronecker Product Approximation of The Blurring Operator in Three Dimensional Image Restoration Problems
  SIAM Journal on Matrix Analysis and Applications, 2014, 35(3), 1086-1104.
   Fulltext  PDF  

Berkant Savas and Lars Eldén
  Krylov-type methods for tensor computations I
  Linear Algebra and its Applications, 2013, 438(2), 891-918.
   Fulltext  PDF  
 Web of Science® Times Cited: 4

Lars Eldén, Magnus Merkel, Lars Ahrenberg and Martin Fagerlund
  Computing Semantic Clusters by Semantic Mirroring and Spectral Graph Partitioning
  Mathematics in Computer Science, 2013, 7, 293-313.

Lars Eldén and Valeria Simoncini
  SOLVING ILL-POSED LINEAR SYSTEMS WITH GMRES AND A SINGULAR PRECONDITIONER
  SIAM Journal on Matrix Analysis and Applications, 2012, 33, 1369-1394.
 Web of Science® Times Cited: 1

Lars Eldén and Berkant Savas
  Perturbation Theory and Optimality Conditions for the Best Multilinear Rank Approximation of a Tensor
  SIAM Journal on Matrix Analysis and Applications, 2011, 32(4), 1422-1450.
   Fulltext  PDF  
 Web of Science® Times Cited: 3

Mansoor Rezgi and Lars Eldén
  Diagonalization of Tensors with Circulant Structure
  Linear Algebra and its Applications, 2011, 435(3), 422-447.
   Fulltext  PDF  
 Web of Science® Times Cited: 6

Xiao-Li Feng, Lars Eldén and Chu-Li Fu
  Stability and regularization of a backward parabolic PDE with variable coefficients
  Journal of Inverse and Ill-Posed Problems, 2010, 18, 217-243.

Lennart Simonsson and Lars Elden
  Grassmann algorithms for low rank approximation of matrices with missing values
  BIT NUMERICAL MATHEMATICS, 2010, 50(1), 173-191.
   Fulltext  PDF  
 Web of Science® Times Cited: 4

Xiao-Li Feng, Lars Eldén and Chu-Li Fu
  A quasi-boundary-value method for the Cauchy problem for elliptic equations with  nonhomogeneous Neumann data
  Journal of Inverse and Ill-Posed Problems, 2010, 18(6), 617-645.
 Web of Science® Times Cited: 7

Lars Eldén and Valeria Simoncini
  A numerical solution of a Cauchy problem for an elliptic equation by Krylov subspaces
  INVERSE PROBLEMS, 2009, 25(6), 065002.
   Fulltext  PDF  
 Web of Science® Times Cited: 9

Rasmus Bro and Lars Elden
  PLS works
  Journal of Chemometrics, 2009, 23(1-2), 69-71.
 Web of Science® Times Cited: 10

Lars Eldén and Berkant Savas
  A Newton-Grassmann method for computing the best multilinear rank-(r1,r2,r3) approximation of a tensor
  SIAM Journal on Matrix Analysis and Applications, 2009, 32(2), 248-271.
 Web of Science® Times Cited: 28

Zohreh Ranjbar and Lars Elden
  Numerical analysis of an ill-posed Cauchy problem for a convection - Diffusion equation
  Inverse Problems in Science and Engineering, 2007, 15(3), 191-211.
 Web of Science® Times Cited: 3

Berkant Savas and Lars Eldén
  Handwritten digit classification using higher order singular value decomposition
  Pattern Recognition, 2007, 40(3), 993-1003.
 Web of Science® Times Cited: 50

Lars Elden
  Numerical linear algebra in data mining
  Acta Numerica, 2006, 15, 327-384.

Lars Elden and Berkant Savas
  The maximum likelihood estimate in reduced-rank regression
  Numerical Linear Algebra with Applications, 2005, 12(8), 731-741.
 Web of Science® Times Cited: 2

Lars Elden and Fredrik Berntsson
  A stability estimate for a Cauchy problem for an elliptic partial differential equation
  Inverse Problems, 2005, 21(5), 1643-1653.
 Web of Science® Times Cited: 8

Lars Elden, Per Christian Hansen and Marielba Rojas
  Minimization of linear functionals defined on solutions of large-scale discrete Ill-posed problems
  BIT Numerical Mathematics, 2005, 45(2), 329-340.
 Web of Science® Times Cited: 3

Lars Elden
  Partial least-squares vs. Lanczos bidiagonalization-I: Analysis of a projection method for multiple regression
  Computational Statistics & Data Analysis, 2004, 46(1), 11-31.
 Web of Science® Times Cited: 31

Lars Elden
  Partial Least Squares vs. Lanczos Bidiagonalization I: Analysis of a Projection Method for Multiple Regression
  Computational statistics & data analysis., 2004, 46, 11-31.
 Web of Science® Times Cited: 31

Lars Elden
  Solving quadratically constrained least squares problems using a differential-geometric approach
  BIT Numerical Mathematics, 2002, 42(2), 323-335.
 Web of Science® Times Cited: 4

V Simoncini and Lars Elden
  Inexact Rayleigh quotient-type methods for eigenvalue computations
  BIT Numerical Mathematics, 2002, 42(1), 159-182.
 Web of Science® Times Cited: 47

E. Lundstrom and Lars Elden
  Adaptive eigenvalue computations using Newton's method on the Grassmann manifold
  SIAM Journal on Matrix Analysis and Applications, 2002, 23(3), 819-839.
 Web of Science® Times Cited: 21

Fredrik Berntsson and Lars Eldén
  Numerical solution of a Cauchy problem for the Laplace equation
  Inverse Problems, 2001, 17(4), 839-853.
 Web of Science® Times Cited: 51

H Park and Lars Elden
  Schur-type methods for solving least squares problems with Toeplitz structure
  SIAM Journal on Scientific Computing, 2000, 22(2), 406-430.
 Web of Science® Times Cited: 4

Lars Elden, Fredrik Berntsson and Teresa Reginska
  Wavelet and Fourier methods for solving the sideways heat equation
  SIAM Journal on Scientific Computing, 2000, 21(6), 2187-2205.
 Web of Science® Times Cited: 115

Books

Lars Elden, Linde Koch and Hans Bruun Nielsen
  Introduction to Numerical Computation
    Studentlitteratur, 2004.


Chapters in Books

Lars Eldén, Misha Kilmer and Dianne O'Leary
  Updating and Downdating Matrix Decompositions
  Selected Works of G. W. Stewart with Commentaries, Birkhäuser, 2010, 45-58.


Lars Elden and Haesun Park
  Matrix rank reduction for data analysis and feature extraction
  Handbook Parallel Computing and Statistics, CRC Press, 2006, 415-447.


Conference Articles

Martin Fagerlund, Magnus Merkel, Lars Eldén and Lars Ahrenberg
  Computing Word Senses by Semantic Mirroring and Spectral Graph Partitioning
  Proceedings of TextGraphs-5 - 2010 Workshop on Graph-based Methods for Natural Language Processing, 2010.


Lars Elden and Berkant Savas
  Pattern Recognition using Higher Order SVD
  3rd IASC world conference onComputational Statistics and Data Analysis,2005, 2005.


Lars Elden
  Multi-linear mappings, SVD, HOSVD, and the numerical solution of ill-conditioned tensor least squares problems
  Second Workshop on Tensor Decompositions and Applications TDA05,2005, 2005.


Fredrik Berntsson and Lars Elden
  Numerical Solution of Cauchy Problems for Elliptic Equations in "Rectangle-like" Geometries
  FEMLAB Conference,2005, 2005.


Rebecka Domeij Bäckryd and Lars Elden
  Simulation of heat transfer on a gas sensor component
  FEMLAB Conference,2005, 2005.


Lars Elden
  Numerical Solution of Cauchy Problems for Elliptic PDE's in ComplexGeometries
  Applied Inverse Problems,2003, 2003.


Lars Elden
  Numerical Solution of Cauchy Problems for Elliptic PDE's in ComplexGeometries
  Conference on Numerical Analysis,2003, 2003.


Lars Elden
  The Maximum Likelihood Estimate in Reduced-Rank Regression
  Numerical Linear Algebra and its Applications,2003, 2003.


Fredrik Berntsson and Lars Eldén
  Numerical Solution of an Inverse Steady State Heat Conduction Problem
  International Symposium on Inverse Problems In Engineering Mechanics, Nagano, Japan, March 2000, 2000.


Fredrik Berntsson and Lars Eldén
  An inverse heat conduction problem and an application to heat treatment of aluminium
  Inverse Problems in Engineering Mechanics II, 2000.


Fredrik Berntsson and Lars Eldén
  Spectral and Wavelet Methods for Solving an Inverse Heat Conduction Problem
  Inverse Problems in Engineering Mechanics: International Symposium on Inverse Problems in Engineering Mechanics, 1998 (ISIP 98), 1998.


Fredrik Berntsson, Lars Eldén, Dan Loyd and Ricardo Garcia-Padrón
  A Comparison of Three Numerical Methods for an Inverse Heat Conduction Problem and an Industrial Application
  Numerical Methods in Thermal Problems Conference, University of Wales, Swansea, 1997.


Ph.D. Theses

Zohreh Ranjbar
  Numerical Solution of Ill-posed Cauchy Problems for Parabolic Equations
  2010.


  Fulltext PDF

Berkant Savas
  Algorithms in data mining using matrix and tensor methods
  2008.


  Fulltext PDF

Reports

Zohreh Ranjbar and Lars Eldén
  A Preconditioned GMRES Method for Solving a 1D Sideways Heat  Equation
  LiTH-MAT-R, 2010:6, 2010.


  Fulltext PDF

Zohreh Ranjbar and Lars Eldén
  A Preconditioned GMRES Method for Solving a Sideways Parabolic Equation in Two Space Dimensions
  LiTH-MAT-R, 2010:3, 2010.


Zohreh Ranjbar and Lars Eldén
  A Sideways Heat Equation Applied to the Measurement of the Gas Temperature in a Combustion Chamber
  LiTH-MAT-R, 2010:2, 2010.


Joakim Löw, Anders Ynnerman and Lars Eldén
  Numerical Analysis of BRDFs for Inverse Rendering
  Chalmers University of Technology. Department of Architecture, 2009:13, 2009.


Mansoor Rezghi and Lars Elden
  Diagonalization of circulant tensors with application in image deblurring
  LiTH-MAT-R, 10, 2008.


Lars Elden
  The Eigenvalues of the Google Matrix
  LiTH-MAT-R, 1, 2004.


Lars Elden and Berkant Savas
  The Maximum likelihood estimate in reduced-rank regression
  LiTH-MAT-R, 31, 2003.