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A weighted pseudoinverse, generalized singular values, and constrained least squares problems

- L. Eldén
- Mathematics
- 1 December 1982

The weighted pseudoinverse providing the minimum semi-norm solution of the weighted linear least squares problem is studied. It is shown that it has properties analogous to those of the Moore-Penrose… Expand

153 21

Algorithms for the regularization of ill-conditioned least squares problems

- L. Eldén
- Mathematics
- 1 June 1977

Two regularization methods for ill-conditioned least squares problems are studied from the point of view of numerical efficiency. The regularization methods are formulated as quadratically… Expand

273 18

Matrix methods in data mining and pattern recognition

- L. Eldén
- Computer Science, Mathematics
- Fundamentals of algorithms
- 1 April 2007

TLDR

189 14

Inexact Rayleigh Quotient-Type Methods for Eigenvalue Computations

- V. Simoncini, L. Eldén
- Mathematics
- 1 March 2002

AbstractWe consider the computation of an eigenvalue and corresponding eigenvector of a Hermitian positive definite matrix A ∈
$$\mathbb{C}^{n \times n}$$
, assuming that good approximations of the… Expand

101 12

Handwritten digit classification using higher order singular value decomposition

- Berkant Savas, L. Eldén
- Mathematics, Computer Science
- Pattern Recognit.
- 1 March 2007

TLDR

197 11

A Newton-Grassmann Method for Computing the Best Multilinear Rank-(r1, r2, r3) Approximation of a Tensor

- L. Eldén, Berkant Savas
- Computer Science, Mathematics
- SIAM J. Matrix Anal. Appl.
- 1 March 2009

TLDR

127 8- PDF

Numerical linear algebra in data mining

- L. Eldén
- Computer Science
- Acta Numerica
- 1 May 2006

TLDR

55 7- PDF

Numerical solution of the sideways heat equation by difference approximation in time

- L. Eldén
- Mathematics
- 1 August 1995

We consider a Cauchy problem for the heat equation in the quarter plane, where data are given at x=1 and a solution is sought in the interval 0<x<1. This sideways heat equation is a model of a… Expand

106 7

Partial least-squares vs. Lanczos bidiagonalization - I: analysis of a projection method for multiple regression

- L. Eldén
- Mathematics, Computer Science
- Comput. Stat. Data Anal.
- 28 May 2004

TLDR

75 6- PDF

Numerical solution of a Cauchy problem for the Laplace equation

- F. Berntsson, L. Eldén
- Mathematics
- 1 August 2001

We consider a two-dimensional steady state heat conduction problem. The Laplace equation is valid in a domain with a hole. Temperature and heat-flux data are specified on the outer boundary, and we… Expand

107 6

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