Efficient Algorithms for Helioseismic Inversion

This page provides an on-line version of my Ph.D. thesis "Efficient Algorithms for Helioseismic Inversion" from the Department of Computer Science, Århus University, Denmark. The thesis was submitted on November 1. 1998, and I received my degree on January 29. 1999.

As the thesis consists of a main part and several individual papers (made with different TeX style files and what not), I have decided to organize this page as a set of links, each pointing to a postscript version of a section of the thesis.

Thesis
  • Table of contents
  • Preface
  • Acknowledgements
  • Part I: Efficient Algorithms for Helioseismic Inversion
  • 1 Introduction
  • 2 Algorithms for discrete ill-posed problems
  • 3 Helioseismic rotational inversion
  • 4 Efficient algorithms for OLA inversions
  • 5 Discussion and conclusion
  • References
  • Part II: Papers
  • Overview
  • A Lanczos bidiagonalization with partial reorthogonalization
  • B Efficient implementations of the SOLA molifier method
  • C Iterative algorithms for two-dimensional helioseismic inversion
  • D Improved SOLA inversions of MDI data
  • E Parallel implementation of Lanczos bidiagonalization on Convex Exemplar
  • F Experiments with tuing the spectral bisection algorithm
  • G Other papers
    • Last updated on May 16, 2012 by Rasmus Munk Larsen / rmlarsen at gmail dot com