Solving secular equations stably and efficiently

  • Authors:
  • Ren Li

  • Affiliations:
  • -

  • Venue:
  • Solving secular equations stably and efficiently
  • Year:
  • 1993

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Abstract

A divide-and-conquer method for solving symmetric tridiagonal eigenproblems has evolved from work by Cuppen, Dongarra, Sorensen, Tang, and most recently Gu and Eisenstadt. At the heart of their methods is the solution of a so-called {\em Secular Equation.} Proposed here is a more efficient organization of the equation--solving process, including some crucial implementation details.