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A brief review of the ITPACK project. (English) Zbl 0657.65048

Over the past several years a number of research-oriented software packages for solving large sparse systems of linear algebraic equations have been developed within the Center for Numerical Analysis as part of the ITPACK project. This report includes a brief discussion of each of the packages. References are given to other reports and papers which describe the individual packages in more detail.

MSC:

65F10 Iterative numerical methods for linear systems
15-04 Software, source code, etc. for problems pertaining to linear algebra
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[1] Eisenstat, S.; George, A.; Grimes, R.; Kincaid, D.; Sherman, A., Some comparisons of software packages for large sparse linear systems, (), 98-106
[2] Grimes, R.G.; Kincaid, D.; Young, D.M., ITPACK 2A: a Fortran implementation of adaptive accelerated iterative methods for solving large sparse linear systems, Report CNA-164, (1980), Center for Numerical Analysis, University of Texas at Austin Austin, TX
[3] Grimes, R.G.; Kincaid, D.R.; Young, D.M., ITPACK 2.0, User’s guide, Report CNA-150, (1979), Center for Numerical Analysis, University of Texas at Austin Austin, TX
[4] Grimes, R.G.; Kincaid, D.R.; MacGregor, W.I.; Young, D.M., ITPACK report: adaptive iterative algorithms using symmetric sparse storage, Report CNA-139, (1978), Center for Numerical Analysis, University of Texas at Austin Austin, Texas
[5] Hageman, L.A.; Young, D.M., Applied iterative methods, (1981), Academic Press New York · Zbl 0459.65014
[6] Hayes, L.J.; Young, D.M., The accelerated SSOR method for solving large linear systems: preliminary report, Report CNA-123, (1977), Center for Numerical Analysis, University of Texas at Austin Austin, TX
[7] Jea, K.C., Generalized conjugate gradient acceleration of iterative methods, (), CNA-176 · Zbl 0463.65025
[8] Kincaid, D.R.; Oppe, T.C.; Young, D.M., Vector computations for sparse linear systems, SIAM J. alg. disc. math., 7, 99-112, (1986) · Zbl 0609.65020
[9] Kincaid, D.R.; Oppe, T.C.; Young, D.M., Vectorized iterative methods for partial differential equations, Comm. appl. numer. meth., 2, 289-296, (1986) · Zbl 0587.65025
[10] Kincaid, D.R.; Oppe, T.C.; Respess, J.R.; Young, D.M., Chapter 7: ITPACK solution modules, (), 237-258
[11] Kincaid, D.R.; Oppe, T.C.; Respess, J.R.; Young, D.M., ITPACKV 2C User’s guide, Report CNA-191, (1984), Center for Numerical Analysis, University of Texas at Austin Austin, TX
[12] Kincaid, D.R.; Oppe, T.C.; Young, D.M., Vector computations for sparse linear systems, Report CNA-189, (1984), Center for Numerical Analysis, The University of Texas at Austin Austin, TX
[13] Kincaid, D.R.; Oppe, T.C.; Kincaid, D.R.; Oppe, T.C., ITPACK on supercomputers, (), Report CNA-178, 151-161, (1984>), Center for Numerical Analysis, University of Texas at Austin Austin, TX, also
[14] Kincaid, D.R.; Young, D.M.; Kincaid, D.R.; Young, D.M., The ITPACK project: past, present, and future, (), 53-63, (1983), Center for Numerical Analysis, University of Texas at Austin Austin, TX, also in
[15] D.R. Kincaid and D.M. Young, Adapting iterative algorithms for solving large sparse linear systems for efficient use on the CDC CYBER 205, CYBER 200 Applications Seminar, NASA Conference Publication 2295, NASA Scientific and Technical Information Research, Washington, D.C., pp. 147-160.
[16] also in Proceedings: Symposium of CYBER 205, CYBER 200 Applications, The International Symposium on Vector Processing Applications, Colorado State University, Fort Collins, Colorado9, August, 12-13,1982
[17] Kincaid, D.R.; Respess, J.R.; Young, D.M.; Grimes, R.G., ITPACK 2C: a Fortran package for solving large sparse linear systems by adaptive accelerated iterative methods, ACM trans. math. software, 8, 302-322, (1982) · Zbl 0485.65025
[18] Kincaid, D.R., Acceleration parameters for a symmetric successive overrelaxation conjugate gradient method for nonsymmetric systems, (), Report CNA-171, 294-299, (1981), Center for Numerical Analysis, University of Texas at Austin Austin, TX
[19] Kincaid, D.R.; Grimes, R.G.; Respess, J.R.; Young, D.M., ITPACK 2B: a Fortran implementation of adaptive accelerated iterative methods for solving large sparse linear systems, Report CNA-173, (1981), Center for Numerical Analysis, University of Texas at Austin Austin, TX
[20] Kincaid, D.R.; Young, D.M., Adapting iterative algorithms developed for symmetric systems to nonsymmetric systems, (), 353-359, (1980), Center for Numerical Analysis, University of Texas at Austin Austin, TX, also in
[21] Kincaid, D.R.; Grimes, R.G.; Young, D.M., The use of iterative methods for solving large sparse PDE-related linear systems, Math. comput. simulation, XXI, 368-375, (1979) · Zbl 0417.65017
[22] Kincaid, D.R.; Grimes, R.G.; Young, D.M., ITPACK—adaptive iterative algorithms using symmetric sparse storage, (), 151-160
[23] Kincaid, D.R.; Young, D.M., Survey of iterative methods, (), 354-391
[24] Kincaid, D.R.; Grimes, R.G., ITPACK report: numerical studies of several adaptive iterative algorithms, Report CNA-126, (1977), Center for Numerical Analysis, University of Texas at Austin Austin, TX
[25] Kincaid, D.R.; Young, D.M., The development of a computer package for solving a class of partial differential equations by iterative methods, Report CNA-102, Ann. assoc. internat. calcul analogique, 3, 186-191, (1975), Center for Numerical Analysis, The University of Texas at Austin Austin, TX · Zbl 0307.65073
[26] Mai, T.-Z., Adaptive iterative algorithms for large sparse linear systems, Report CNA-203, (1986), Center for Numerical Analysis, University of Texas at Austin Austin, TX
[27] Mai, T.-Z.; Young, D.M., ITPACK 3B User’s guide (preliminary version), Report CNA-201, (1986), Center for Numerical Analysis, University of Texas at Austin Austin, TX
[28] Oppe, T.C.; Joubert, W.D.; Kincaid, D.R., NSPCG User’s guide, version 1.0, a package for solving large sparse linear systems by various iterative methods, Report CNA-216, (1988), Center for Numerical Analysis, University of Texas at Austin Austin, TX
[29] Oppe, T.C.; Kincaid, D.R., The performance of ITPACK on vector computers for solving large sparse linear systems arising in sample oil reservoir problems, Comm. appl. numer. meth., 3, 23-29, (1987) · Zbl 0612.76112
[30] Oppe, T.C.; Kincaid, D.R., A comparison study of iterative solution methods for sample oil reservoir simulation problems on vector computers, Report CNA-200 (revised), (1986), Center for Numerical Analysis, The University of Texas at Austin Austin, TX
[31] Rice, J.R.; Boisvert, R.F., Solving elliptic problems using ELLPACK, (1985), Springer New York · Zbl 0562.65064
[32] to appear in: Proceedings of the Conference on the History of Scientific and Numeric Computing, sponsored by the Asssociation for Computing Machinery, held at Princeton, May 13-, 1987
[33] to appear in: Proceedings of SIAM Conference on “Linear Algebra, Signals, and Control” held in Boston, MA, August, 1986
[34] Young, D.M.; Mai, T.-Z., Iterative algorithms and software for solving large sparse linear systems, Report CNA-215, (1987), Center for Numerical Analysis, University of Texas at Austin Austin, TX, also Comm. Appl. Numer. Meth., to appear.
[35] to appear in: Proceedings of the Conference Vector and Parallel Processors for Scientific Computation, held at Academia dei Lincei, Palazzina dell’ Auditoria, via della Lungara 230, Rome, Italy, May 27-29, 1985
[36] Young, D.M.; Jea, K.C.; Kincaid, D.R., Accelerating nonsymmetrizable iterative methods, (), 323-342 · Zbl 0573.65020
[37] Young, D.M.; Kincaid, D.R., On the use of iterative methods with supercomputers for solving partial differential equations, (), (1984), Center for Numerical Analysis, University of Texas at Austin Austin, TX, also in
[38] Young, D.M.; Mai, T.-Z., ITPACK 3A User’s guide (preliminary version), Report CNA-197, (1984), Center for Numerical Analysis, University of Texas at Austin Austin, TX
[39] Young, D.M.; Kincaid, D.R., The ITPACK software package, (), 193-206, (1983), Center for Numerical Analysis, University of Texas at Austin Austin, TX, also in:
[40] Young, D.M.; Kincaid, D.R., The ITPACK package for large sparse linear systems, (), 163-185, (1980), Center for Numerical Analysis, University of Texas at Austin Austin, TX, also in:
[41] Young, D.M., Iterative solution of large linear systems, (1971), Academic Press New York · Zbl 0204.48102
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