Internet Resources for Pivoting Methods

 

  1. The Gaussian elimination method with scaled partial pivoting   
    Jinchao Xu, Math. Dept., Pennsylvania State Univ., University Park, PA
  2. Pivoting and Scaling   
    Juan Restrepo, Math. Dept., Univ. of Arizona, Tucson, AZ  
  3. Computers, Associated Errors, And Strategy In Gaussian Elimination   
    William L. Perry, Math. Dept., Texas A&M University, College Station, TX  
  4. Gaussian Elimination with Partial Pivoting is Stable!   
    Pablo V. Negrón Marrero, Math. Dept., University of Puerto Rico, Humacao, PR  
  5. Error Analysis of Gaussian Elimination   
    Dinesh Manocha, Computer Science Dept., University of N. Carolina, Chapel Hill, NC  
  6. Gaussian Elimination, complete pivoting   
    Nels Madsen, Mechanical Engineering Dept., Auburn University, AL  
  7. Partial Pivoting   
    Kwai Lam Wong, Joint Inst. for Computational Sci., Oak Ridge National Lab, Oak Ridge, TN
  8. Partial Pivoting   
    Kwai Lam Wong, Joint Inst. for Computational Sci., Oak Ridge National Lab, Oak Ridge, TN  
  9. Gaussian Elimination with Scaled Partial Pivoting  
    Michael Lunney, Math. Dept., Simon Fraser University, Canada
  10. Gaussian Elimination  
    J. Robert Buchanan, Math. Dept., Millersville University, Millersville, PA
  11. LU Decomposition - Coding the Algorithm  
    High Performance Fortran 90, Digital Equipment Corporation, Maynard, MA
  12. Gaussian elimination with "static pivoting"  Program C  
    Sameer Shende, et al,  Advanced Computing Lab, Los Alamos National Laboratory
  13. Gaussian elimination with scaled partial pivoting  Program Matlab  
    Jing Shi, Math. Dept., The University of Texas, Austin, TX  
  14. Partial pivoting, LU factorization  PDF  
    Laszlo Erdos, School of Mathematics, Georgia Institute of Technology, Atlanta, GA  
  15. Partial Pivoting  PDF   
    Peter Blossey, Atmospheric Sciences Dept., University of Washington, Seattle, WA
  16. Pivoting Strategies  PDF  
    Walter Schreiner, Math. Dept., Christian Brothers University, Memphis, TN
  17. Improvements to Gauss Elimination Method  PDF   
    A. Kruger, Civil Engineering Dept.,The University of Iowa, Iowa City, IA
  18. On the Skeel condition number, growth factor and pivoting strategies for Gaussian elimination  PDF  
    Juan M. Peña, Universidad de Zaragoza, Spain
  19. Probabilistic Analysis of Complex Gaussian Elimination without Pivoting  PDF   
    Man-Chung Yeung, Math. Dept., University of Wyoming, Laramie, WY
  20. ... Partial Pivoting ... Complete Pivoting  PDF   
    Daniel A. Spielman, Applied Math. Dept., Massachusetts Institute of Technology, Cambridge, MA
  21. A Comparison of Pivoting Strategies for the Direct LU Factorization  
    Oliver Y. K. Chen, Math. Dept., Montana State Univesity - Billings, MT  
  22. Analysis of complete pivoting  PDF   
    Daniel A. Spielman, Applied Math. Dept., Massachusetts Institute of Technology, Cambridge, MA
  23. ... Complete Pivoting  PDF    
    Kyle A. Gallivan, School of Computational Science, Florida State University, Tallahassee, FL
  24. Pivoting and Backward Stability of Fast Algorithms for Solving Cauchy Linear Equations  PDF    
    Tibor Boros, ArrayComm, Inc.; Thomas Kailath, Stanford Univ.; Vadim Olshevsky,Georgia State Univ.  
  25. A Column Approximate Minimum Degree Ordering Algorithm  PDF   
    Timothy Davis, Univ. of Florida; John Gilbert, Univ. of California, Santa Barbara; Stefan Larimore, Microsoft, Inc.; Esmond Ng, Lawrence Berkeley Lab
  26. Smoothed Analysis of Gaussian Elimination  PDF   
    Arvind Sankar, Math. Dept., Massachusetts Inst. of Tech., Cambridge, MA

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2005