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- Lars Elden
- Fundamentals of algorithms
- 2007

Preface Part I. Linear Algebra Concepts and Matrix Decompositions: 1. Vectors and matrices in data mining and pattern recognition 2. Vectors and matrices 3. Linear systems and least squares 4.… (More)

- Lars Elden
- 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… (More)

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… (More)

A two-dimensional inverse steady state heat conduction problem in the unit square is considered. Cauchy data are given for y ≤ 0, and boundary data are for x ≤ 0 and x ≤ 1. The elliptic operator is… (More)

- Lars Elden
- 1987

A Cauchy problem for the heat equation in the quarter plane is considered. Data are given along the line x=1 and the solution at x=0 is sought. The problem is ill-posed: the solution does not depend… (More)

- Lars Elden
- 1988

The author considers a Cauchy problem for the heat equation in a quarter plane with data given along the line x=1. The solution is sought for in the interval 0<or=x<1. This problem is ill-posed in… (More)

- Lars Elden
- 1983

We study the problem of solving numerically a parabolic partial differential equation in one space dimension, where boundary values are given on one boundary only. For the analysis and numerical… (More)

- Lars Elden
- 2002

- Lars Elden
- 1980

A perturbation theory for the linear least squares problem with linear equality constraints (problem LSE) is presented. The development of the theory is based on the concept of the weighted… (More)