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Study Materials

File decompression software, such as Winzip or StuffIt, is required to open the .tar files in this section. The .tar files contain additional files which require software as well. MATLAB® software is required to run the .m files. Postscript viewer software, such as Ghostscript/Ghostview, can be used to view the .ps files.  Ghostscript/GhostviewAdobe Photoshop, and Adobe Illustrator are among the software tools that can be used to view the .eps files.

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Additional Materials for 18.335

  • Pseudocodes (PDF) for Eigenvalue Algorithms
  • The following files contain compressed versions of the MATLAB® routines and corresponding pictures used as examples during three different class sessions.
  1. gs_qr.tar  Gram-Schmidt and QR orthogonalizations
    (The tar file includes: base10.ps, base2.ps, clgs.m, get_CG_decomp.m, mgs.m, run_example9_2.m, stability_qr.m, unstable_eigen.m.)

  2. lu.tar  LU and Cholesky decompositions
    (The tar file includes: banded_lu_structure.m, chol_vs_direct.ps, lu_qr_vs_direct.ps, picture_banded_lu.ps, picture_banded_lu1.ps, picture_banded_lu2.ps, test_backslash.m.) 

  3. Arnoldi and gmres.tar - GMRES iterations
    (The tar file includes: Arn.m, eigs_gmres.eps, eigs2.ps, gmres_mine.m, gmres_rest.m, gmres_test1.eps, test1_arn.eps, test1_Arn.m, test1_arn1.eps, test1_gmres.m, test1_gmres_rest.m, test2_arn.eps, test2_Arn.m, test2_arn1.eps, test2_gmres.m, test2_gmres_conv.eps, test2_gmres_rest.m.)
Other Recommended Texts

Overton, Michael. Numerical Computing with IEEE Floating Point Arithmetic. SIAM, 2001. ISBN: 0898714826.

Golub, Gene, and Charles Van Loan. Matrix Computations. 3rd ed. Baltimore, MD:Johns Hopkins University Press, 1996. ISBN: 0801854148.

Briggs, William L., Van Emden Henson, and Steve F. McCormick. A Multigrid Tutorial. 2nd ed. Philadelphia, PA: SIAM, 2000. ISBN: 0898714621.

MATLAB® is a trademark of The MathWorks, Inc.