Computational Equipment for the Development of Numerical Algorithms Computation

Abstract

Under this grant, the following equipment was purchased: 7 SUN 3/50 workstations; 1 SUN 3/260 workstation; 1 SUN 3/180 file server; 1 CDC disk; 1 Eagle disk; 2 Apple Laser Writer printers. This equipment was of utmost importance in our research in the Scientific Computing and Computational Mathematics Program at Stanford. In particular, it allowed us to analyze, devise, and study various numerical algorithms associated with our research activity. I enclose a list of recent reports which depended heavily on the use of this equipment. Here are some special activities: The Lanczos method is a well known method for computing the eigen-values of symmetric matrices. For many years there has been an attempt to generalize this algorithm for matrices that are non-symmetric. There have been inherent difficulties, and for a long time it was not understood how to modify the algorithm for the non-symmetric case. In the last year, it has finally been understood how to formulate a stable and robust algorithm. We were able to develop numerical software for operating on non-symmetric matrices. (kr)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1990
Accession Number
ADA226702

Entities

People

  • Gene H. Golub

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Air Force Facilities
  • Algorithms
  • Availability
  • Computations
  • Computer Networks
  • Computer Science
  • Differential Equations
  • Eigenvalues
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Partial Differential Equations
  • Real Variables
  • Servers (Computer Hardware)

Readers

  • Database Systems and Applications
  • Linear Algebra
  • Systems Analysis and Design

Technology Areas

  • Directed Energy