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Week References

[1]
  
Robert Schreiber and Charles Van Loan, A Storage-Efficient WY Representation for Products of Householder Transformations, SIAM Journal on Scientific and Statistical Computing, Vol. 10, No. 1, 1989.
[2]
  
Christian Bischof and Charles Van Loan, The WY Representation for Products of Householder Matrices, SIAM Journal on Scientific and Statistical Computing, Vol. 8, No. 1, 1987.
[4]
  
H. F. Walker, Implementation of the GMRES method using Householder transformations, SIAM Journal on Scientific and Statistical Computing, Vol. 9, No. 1, 1988.
[5]
  
C. Puglisi, Modification of the Householder method based on the compact WY representation, SIAM Journal on Scientific Computing, Vol. 13, 1992.
[6]
  
C. G. J. Jacobi, Über ein leichtes Verfahren, die in der Theorie der Sä kular-störungen vorkommenden Gleichungen numerisch aufzulösen, Crelle's Journal 30, 51-94, 1846.
[7]
  
Thierry Joffrain, Tze Meng Low, Enrique S. Quintana-Orti, Robert van de Geijn, Field G. Van Zee, Accumulating {H}ouseholder transformations, revisited, ACM Transactions on Mathematical Software, Vol. 32, No 2, 2006.
[8]
  
Ed Anderson, Zhaojun Bai, James Demmel, Jack J. Dongarra, Jeremy DuCroz, Ann Greenbaum, Sven Hammarling, Alan E. McKenney, Susan Ostrouchov, and Danny Sorensen, LAPACK Users' Guide, SIAM, Philadelphia, 1992.
[9]
  
Margaret E. Myers and Robert A. van de Geijn, Linear Algebra: Foundations to Frontiers - Notes to LAFF With, self-published at ulaff.net, 2014.
[10]
  
Margaret E. Myers and Robert A. van de Geijn, Linear Algebra: Foundations to Frontiers, a Massive Open Online Course offered on edX.
[11]
  
Margaret Myers, Pierce van de Geijn, Robert van de Geijn, Linear Algebra: Foundations to Frontiers - Notes to LAFF With. Self-published at ulaff.net, 2014.
[12]
  
Field G. Van Zee, Robert A. van de Geijn, Gregorio Quintana-Ortí, G. Joseph Elizondo, Families of Algorithms for Reducing a Matrix to Condensed Form. ACM Transactions on Mathematical Software (TOMS) , Vol, No. 1, 2012.

Available free from http://www.cs.utexas.edu/~flame/web/FLAMEPublications.html Journal Publication #26. Click on the title of the paper.

[13]
  
Field G. Van Zee, Robert A. van de Geijn, Gregorio Quintana-Ortí, Restructuring the Tridiagonal and Bidiagonal QR Algorithms for Performance, ACM Transactions on Mathematical Software (TOMS), Vol. 40, No. 3, 2014.

Available free from http://www.cs.utexas.edu/~flame/web/FLAMEPublications.html Journal Publication #33. Click on the title of the paper.