Lars Eldén

Professor emeritus of Scientific Computing

Recent papers and talks

• Solving Ill-Posed Linear Systems with GMRES and a Singular Preconditioner  
  PDF   BIBTEX  
• Perturbation Theory and Optimality Conditions for the Best Multilinear Rank Approximation of a Tensor, SIMAX 2011,   PDF,    BIBTEX
• Krylov-type methods for tensor computations I,  LAA 2012  BIBTEX
• Diagonalization of tensors with circulant structure,  LAA 2011  BIBTEX
• A quasi-boundary-value method for the Cauchy problem for elliptic equations with nonhomogeneous Neumann data.   J. Inv. Ill-Posed Problems 2010  BIBTEX

Docentnämnd

Chair of the docent committee at the Institute of Technology. Information about docent procedures.

Quotations about data analysis

"The traditional rationale within applied mathematics has been to solve or provide insight for equations which describe some part of the physical world. .... But there is a paradigm shift afoot. Mathematics is used to describe data, without the benefit of an interpolating equation or physical principle."
(J. Glimm, Bulletin of the American Mathematical Society, 47, Jan 2010, p. 127-136.)

"The analysis of large data sets to provide understanding, and ultimately knowledge, is one of the fundamental intellectual challenges of our time. It falls to practitioners of the mathematical sciences (mathematics, statistics, and computer science) to devise new methods for carrying out analysis tasks, as well as to construct new models or paradigms for thinking about data."
(Gunnar Carlsson and Robert Ghrist, SIAM News, April 2012).