readme.txt Documentation rearding this disc. docs/ Walnut Creek CDROM Documentation. netlib.faq Frequently asked questions about Netlib. netlib/ All the files on Netlib. netlib/a/ for approximation algorithms from various sources editor Eric Grosse master netlib.att.com netlib/access/ for netlib access tools, such as unshar editor Eric Grosse master netlib.att.com netlib/aicm/ for selected material from Advances in Computational Mathematics # journal published by Baltzer master netlib.att.com netlib/alliant/ for programs collected from Alliant users editor Jack Dongarra master ornl.gov netlib/amos/ for Bessel functions of complex argument and nonnegative order by D.E. Amos ref ACM TOMS 12 (1986) 265-273 algorithm 644 master ornl.gov # The Bessel functions H1, H2, I, J, K, and Y, as well as the Airy functions Ai, Bi, and their derivatives are provided. Exponential scaling and sequence generation are optional. netlib/ampl/ for linear and nonlinear programming. editor David Gay master netlib.att.com netlib/apollo/ for programs collected from Apollo users. editor Jack Dongarra master ornl.gov netlib/benchmark/ for contains benchmark programs and the table of Linpack timings. editor Jack Dongarra master ornl.gov netlib/bihar/ for biharmonic equation in rectangular geometry and polar coordinates by Petter Bjorstad master nac.no netlib/blacs/ for Basic Linear Algebra Communication Subprograms editor Clint Whaley contact blacs@cs.utk.edu master ornl.gov netlib/blas/ for blas (level 1, 2 and 3) and machine constants rel excellent age stable editor Jack Dongarra master ornl.gov netlib/bmp/ for Brent's multiple precision package master netlib.att.com netlib/c/ for miscellaneous codes written in C # Not all C software is in this "miscellaneous" library. If it clearly fits into domain specific library, it is assigned there. The principal contents at present is the c/meschach subdirectory by David Stewart covering linear algebra and utilities. See c/index for details. editor Eric Grosse master netlib.att.com netlib/c++/ for miscellaneous codes in C++ editor Eric Grosse master netlib.att.com netlib/chammp/ for DOE Computer Hardware, Advanced Mathematics and Model Physics program editor Jack Dongarra master ornl.gov netlib/cheney-kincaid/ by Ward Cheney & David Kincaid ref Numerical Mathematics and Computing, 2nd ed., 1985. master netlib.att.com netlib/clapack/ for C version of LAPACK by J. Demmel and Xiaoye Li rel pre-release lang C master ornl.gov netlib/commercial/ for advertising material for commercial math software editor ehg@research.att.com master netlib.att.com netlib/conformal/ for the "parameter problem" associated with conformal mapping editor Eric Grosse master netlib.att.com netlib/contin/ for continuation and limit points editor Eric Grosse master netlib.att.com netlib/dierckx/ for spline fitting routines for various kinds of data and geometries by Paul Dierckx # Comp Sci, K. U. Leuven, Celestijnenlaan 200A, B-3001 Heverlee, Belgium also called fitpack, but no connection with Alan Cline's library master netlib.att.com netlib/domino/ for multiple tasks to communicate and schedule local tasks for execution. # These tasks may be on a single processor or spread among multiple processors connected by a message-passing network. by O'Leary, Stewart, Van de Geijn, University of Maryland lang C, assembler master ornl.gov netlib/eispack/ for eigenvalues and eigenvectors A collection of Fortran subroutines that compute the eigenvalues and eigenvectors of nine classes of matrices. The package can determine the eigensystems of complex general, complex Hermitian, real general, real symmetric, real symmetric band, real symmetric tridiagonal, special real tridiagonal, generalized real, and generalized real symmetric matrices. In addition, there are two routines which use the singular value decomposition to solve certain least squares problems. netlib/eispack/ # Description carried over from above..... by NATS Project at Argonne National Laboratory prec double see seispack rel excellent age stable ref B.T. Smith, J.M. Boyle, J.J. Dongarra, B.S. Garbow, Y. Ikebe, V.C. Klema, and C.B. Moler. Matrix Eigensystem Routines - EISPACK Guide, volume 6 of Lecture Notes in Computer Science, Springer-Verlag, Berlin, 1976. B.S. Garbow, J.M. Boyle, J.J. Dongarra, and C.B. Moler. Matrix Eigensystem Routines - EISPACK Guide Extension, volume 51 of Lecture Notes in Computer Science, Springer-Verlag, Berlin, 1977. master ornl.gov netlib/elefunt/ for testing elementary function programs provided with Fortran compilers ref Software Manual for the Elementary Functions, Prentice Hall, 1980. by W. J. Cody and W. Waite master netlib.att.com netlib/env/ for integrated problem solving environments editor Eric Grosse master netlib.att.com netlib/f2c/ for converting Fortran to C by Feldman, Gay, Maimone, and Schryer editor David Gay master netlib.att.com gams s1 netlib/fdlibm/ for C math library for machines that support IEEE 754 floating-point by Kwok C Ng # Version: 5.1 Maintained-hy: fdlibm-comments@sunpro.eng.sun.com Maintained-at: sunsite.unc.edu Platforms: Require ANSI C compiler with IEEE 754 style arithmetic Copying-Policy: Freely Redistributable Keywords: libm,exp,log,sin,cos,floating-point,IEEE754 master netlib.att.com netlib/fftpack/ for Fast Fourier Transform of periodic and other symmetric sequences # This package consists of programs which perform Fast Fourier Transforms for both complex and real periodic sequences and certain other symmetric sequences. by Paul Swarztrauber, NCAR. see double precision version in bihar rel excellent age stable master netlib.att.com netlib/fishpack/ for finite differences for elliptic boundary value problems. by Paul Swarztrauber and Roland Sweet. # CRAYFISHPAK is a new expanded version of FISHPAK that has been totally rewritten for vector computers, on which order of magnitude speedups have been commonly observed. For more information contact Green Mountain Software, 1951 Alpine Ave., Boulder, Colorado, 80304-3657, USA, phone (303) 447-9224, or by email: lsweet@greenmtn.com (on internet). rel excellent age stable master netlib.att.com netlib/fitpack/ for splines under tension. (an early version) by Alan K. Cline # For a current copy and for other routines, contact: Pleasant Valley Software, 8603 Altus Cove, Austin TX 78759, USA master netlib.att.com netlib/fmm/ ref Computer Methods for Mathematical Computations by George Forsythe, Mike Malcolm, and Cleve Moler. prec double see sfmm master ornl.gov netlib/fn/ for special functions by Wayne Fullerton master netlib.att.com netlib/fortran/ for tools specific to Fortran: a single/double converter; static debugger master netlib.att.com netlib/fortran-m/ for small set of extensions to f77 that supports modular message-passing editor Jack Dongarra master ornl.gov netlib/fp/ for floating point arithmetic editor David Gay master netlib.att.com netlib/gcv/ for Generalized Cross Validation spline smoothing editor Eric Grosse master netlib.att.com netlib/gmat/ for multi-processing Time Line and State Graph tools. by Mark Seager (LLNL Oct 8, 1987) master ornl.gov # werner@ramius.llnl.gov (Nancy Werner) 26 Oct 90 netlib/gnu/ for utilities useful to netlib clients, covered by GNU public license editor David Gay master netlib.att.com netlib/go/ for Golden Oldies: widely used, but not in standard libraries. # Nominations welcome! rel excellent age old editor Eric Grosse master netlib.att.com netlib/graphics/ for scientific visualization editor Eric Grosse master netlib.att.com netlib/harwell/ for sparse unsymmetric matrix routine MA28 from the Harwell library editor Iain Duff master ornl.gov netlib/hence/ for Heterogenous Network Computing Environment editor Peter Newton master ornl.gov # only available from Tennessee, until either they agree to use shorter filenames or Plan9 agrees to allow long filenames netlib/hompack/ for solving nonlinear systems of equations by homotopy methods # fixed point, zero finding, and general homotopy curve tracking problems, utilizing both dense and sparse Jacobian matrices; ODE-based, normal flow, and augmented Jacobian. by Layne T. Watson ltw@vtopus.cs.vt.edu (703) 231-7540 # Department of Computer Science, VPI & SU, Blacksburg, VA 24061 master netlib.att.com netlib/hpf/ for first draft of language specification by High Performance Fortran Forum master ornl.gov netlib/ijsa/ for International Journal of Supercomputer Applications editor Jack Dongarra master ornl.gov netlib/image/ for image processing editor Eric Grosse master netlib.att.com see popi, a/blur netlib/intercom/ for Interprocessor Collective Communications (InterCom) Library by Mike Barnett, David Payne, Satya Gupta, Lance Shuler, Robert van de Geijn, and Jerrell Watts contact intercom@cs.utexas.edu editor Jack Dongarra master ornl.gov netlib/itpack/ for Iterative Linear System Solvers # Jacobi method, SOR, SSOR with conjugate gradient acceleration or with Chebyshev (semi-iteration - SI) acceleration. by Young and Kincaid and the group at U of Texas. # kincaid@cs.utexas.edu oppe@scri1.scri.fsu.edu joubert@cs.utexas.edu Center for Numerical Analysis; (512) 471-1242 RLM Bldg. 13.150; University of Texas at Austin; Austin TX 78713-8510 editor Bill Coughran master netlib.att.com netlib/jakef/ for automatic differentiation # a precompiler that analyses a given Fortran77 source code for the evaluation of a scalar or vector function and then generates an expanded Fortran subroutine that simultaneously evaluates the gradient or Jacobian respectively. For scalar functions the ratio between the run-time of the resulting gradient routine and that of the original evaluation routine is never greater than a fixed bound of about five. The storage requirement may be considerable as it is also proportional to the run-time of the original routine. Since no differencing is done the partial derivative values obtained are exact up to round-off errors. by A. Griewank, Argonne National Laboratory 12/1/88. master ornl.gov netlib/kincaid-cheney/ by Ward Cheney & David Kincaid ref Numerical Analysis: The Mathematics of Scientific Computing, 1990. master netlib.att.com netlib/lanczos/ for a few eigenvalues/eigenvectors of a large (sparse) symmetric matrix # real symmetric and Hermitian matrices singular values and vectors of real, rectangular matrices by Jane Cullum and Ralph A. Willoughby, IBM Yorktown 914-945-1589 ref Lanczos Algorithms for Large Symmetric Eigenvalue Computations, Birkhauser # Additional codes, for factored inverses, real symmetric generalized problems, complex symmetric problems and real symmetric block codes are available from the authors. master netlib.att.com see go/underwood.f netlib/lanz/ for Large Sparse Symmetric Generalized Eigenproblem by Mark T. Jones and Merrell L. Patrick master ornl.gov see go/underwood.f gams d4b1 netlib/lapack/ for the most common problems in numerical linear algebra linear equations, linear least squares problems, eigenvalue problems, and singular value problems. It has been designed to be efficient on a wide range of modern high-performance computers. by Ed Anderson, Z. Bai, Chris Bischof, Jim Demmel, Jack Dongarra, Jeremy Du Croz, Anne Greenbaum, Sven Hammarling, Alan McKenney, Susan Ostrouchov, and Danny Sorensen rel excellent age research ref LAPACK Users' Guide, May 1992, available from SIAM; 3600 University City Science Center; Philadelphia, PA 19104-2688; 215-382-9800, FAX 215-386-7999; service@siam.org master ornl.gov contact lapack@cs.utk.edu netlib/laso/ for a few eigenvalues/eigenvectors of a large (sparse) symmetric matrix alg Lanczos by David Scott master ornl.gov see go/underwood.f netlib/lawson-hanson/ for least squares by C. Lawson and R. Hanson ref "Solving Least Squares Problems," SIAM Publications lang Fortran77, Fortran90 master netlib.att.com netlib/linalg/ for various functions complementing the bigger linear algebra libraries editor Jack Dongarra master ornl.gov netlib/linpack/ for linear equations and linear least squares problems linear systems whose matrices are general, banded, symmetric indefinite, symmetric positive definite, triangular, and tridiagonal square. In addition, the package computes the QR and singular value decompositions of rectangular matrices and applies them to least squares problems. by Jack Dongarra , Jim Bunch, Cleve Moler and Pete Stewart. rel excellent age stable ref J. Bunch, J. Dongarra, C. Moler, and G.W. Stewart. LINPACK User's Guide. SIAM, Philadelphia, PA, 1979. master ornl.gov netlib/lp/ for linear programming test problems editor David Gay master netlib.att.com netlib/machines/ for information on high performance computers editor Jack Dongarra master ornl.gov netlib/maspar/ for MasPar-specific libraries and tools editor Petter Bjorstad master nac.no netlib/mds/ for multidimensional scaling age old editor kruskal@research.att.com master netlib.att.com netlib/microscope/ for looking closely at functions # Given an interpolation or approximation scheme, it allows the following questions, among others, to be answered: Does the scheme interpolate? How often is it differentiable? What functions does it reproduce exactly? If the scheme is polynomial, what is its polynomial degree? Where is the smoothness of a function reduced? Where are the bugs in a FORTRAN implementation? by Peter Alfeld and Bill Harris, Dept. Math., University of Utah # 801-581-6842 or 801-581-6851 master netlib.att.com netlib/minpack/ for nonlinear equations and nonlinear least squares problems. # Five algorithmic paths each include a core subroutine and an easy-to-use driver. The algorithms proceed either from an analytic specification of the Jacobian matrix or directly from the problem functions. The paths include facilities for systems of equations with a banded Jacobian matrix, for least squares problems with a large amount of data, and for checking the consistency of the Jacobian matrix with the functions. by Jorge More', Burt Garbow, and Ken Hillstrom at Argonne National Laboratory. prec double see sminpack master ornl.gov netlib/misc/ for various stuff collected over time editor Jack Dongarra master ornl.gov netlib/mpfun/ for multiple precision arithmetic by David Bailey master netlib.att.com netlib/na-digest/ for numerical analysis mailing list netlib/napack/ for linear algebra and optimization # A collection of Fortran subroutines to solve linear systems, to estimate the condition number or the norm of a matrix, to compute determinants, to multiply a matrix by a vector, to invert a matrix, to solve least squares problems, to perform unconstrained minimization, to compute eigenvalues, eigenvectors, the singular value decomposition, or the QR decomposition. The package has special routines for general, band, symmetric, indefinite, tridiagonal, upper Hessenberg, and circulant matrices. by Bill Hager # Mathematics, Univ. Florida, Gainesville, FL 32611, hager@math.ufl.edu ref Applied Numerical Linear Algebra, Prentice-Hall, 1988. master netlib.att.com netlib/news/ for netlib column for SIAM News lang LaTeX by Eric Grosse master netlib.att.com netlib/numeralgo/ for algorithms from the new journal "Numerical Algorithms" master netlib.att.com netlib/ode/ for initial and boundary value ordinary differential equation solvers # colsys, dverk, rksuite, ode editor Bill Coughran master netlib.att.com netlib/odepack/ for ODE package by Alan Hindmarsh and others prec double see sodepack master netlib.att.com netlib/odrpack/ for Orthogonal Distance Regression by Boggs Byrd Rogers Schnabel # A portable collection of Fortran subprograms for fitting a model to data. It is designed primarily for instances when the independent as well as the dependent variables have significant errors, implementing a highly efficient algorithm for solving the weighted orthogonal distance regression problem, i.e., for minimizing the sum of the squares of the weighted orthogonal distances between each data point and the curve described by the model equation. master netlib.att.com netlib/opt/ for miscellaneous optimization software, e.g. Brent's praxis. editor David Gay master netlib.att.com netlib/p4/ for parallel programming system. # subroutines and macors for writing portable parallel programs in Frtran or C for execution on a wide variety of parallel machines and workstation networks. by Rusty Lusk, Argonne National Laboratory contact p4@mcs.anl.gov master netlib.att.com netlib/paragraph/ for graphical display of message-passing multiprocessor architectures. by Jennifer Etheridge and Michael Heath, Oak Ridge National Lab. master ornl.gov netlib/paranoia/ for exploring the floating point system on your computer. by Kahan, Berkeley editor David Gay master netlib.att.com netlib/parmacs/ for parallel programmming macros for monitors and send/receive by Rusty Lusk, Argonne National Lab (lusk@anl-mcs.arpa) master ornl.gov netlib/pascal/ for miscellaneous codes written in Pascal # At present, codes from J.C. Nash, Compact Numerical Methods for Computers: Linear Algebra and Function Minimisation, Second Edition Adam Hilger: Bristol & American Institute of Physics: New York, 1990 editor Eric Grosse master netlib.att.com netlib/pdes/ for partial differential equation packages editor Bill Coughran master netlib.att.com netlib/picl/ for generic message-passing interface to multiprocessors also provides timestamped trace data keywords portable, error trapping, parallel, interprocessor communication, instrumentation by Geist, Heath, Peyton, and Worley, Oak Ridge National Lab. contact worleyph@msr.epm.ornl.gov master ornl.gov netlib/pltmg/ for elliptic partial differential equations in general regions of the plane # It features adaptive local mesh refinement, multigrid iteration, and a pseudo-arclength continuation option for parameter dependencies. The package includes an initial mesh generator and several graphics packages. ref PLTMG User's Guide, SIAM publications by Randy Bank editor Bill Coughran master netlib.att.com netlib/poly2/ for conversion tools for polyhedra library by Stewart Dickson master netlib.att.com netlib/polyhedra/ for angles, vertex locations, etc of geometric solids by Andrew Hume master netlib.att.com netlib/popi/ for arbitrary manipulation of digitized images. ref Chap 5,6 of Beyond Photography--The Digital Darkroom, PrenticeHall by Gerard J. Holzmann master netlib.att.com netlib/port/ for public subset of the PORT library # Includes the latest version of Gay's NL2SOL nonlinear least squares. The rest of the PORT3 library is available by license from AT&T. editor David Gay master netlib.att.com netlib/portfix/ for bug fixes for functions in the proprietary part of the PORT library # only at netlib.att.com netlib/pppack/ for splines by Carl de Boor ref A Practical Guide to Splines, Springer Verlag. # Some calling sequences differ slightly from those in the book. rel excellent age old editor Eric Grosse master netlib.att.com netlib/pvm3/ for software and papers on a Parallel Virtual Machine (PVM) software for heterogeneous networking parallel processing in Fortran or C for execution on a wide variety of parallel machines, supercomputers, and workstation networks. by Beguelin, Dongarra, Geist, Jiang, Manchek, Moore, and Sunderam editor Jack Dongarra, University of Tennessee and Oak Ridge National Lab contact pvm@msr.epm.ornl.gov master ornl.gov netlib/quadpack/ for definite univariate integrals by Piessens, de Donker, Kahaner # (slatec version) master netlib.att.com netlib/random/ for random number generators editor Eric Grosse master netlib.att.com netlib/research/ for small tools from Computing Science Research, Bell Labs editor Eric Grosse master netlib.att.com netlib/scalapack/ for software for MIMD distributed memory computers for some of the # lapack routines editor Jack Dongarra, University of Tennessee and Oak Ridge National Lab master ornl.gov netlib/sched/ for the Schedule package, to aid transportable # implementation of parallel algorithms in a Fortran setting. by Jack Dongarra and Dan Sorensen master ornl.gov netlib/scilib/ # a portable FORTRAN emulation (by M.J. McBride and S.H. Lamson) of CRAY SCILIB, a library of scientific applications subprograms developed by Cray Research, Inc. editor Jack Dongarra contact Scott Lamson master ornl.gov netlib/seispack/ for eigenvalues and eigenvectors # A collection of Fortran subroutines that compute the eigenvalues and eigenvectors of nine classes of matrices. The package can determine the eigensystems of complex general, complex Hermitian, real general, real symmetric, real symmetric band, real symmetric tridiagonal, special real tridiagonal, generalized real, and generalized real symmetric matrices. In addition, there are two routines which use the singular value decomposition to solve certain least squares problems. by NATS Project at Argonne National Laboratory. prec single see eispack master ornl.gov netlib/sequent/ for software from the Sequent Users Group editor Jack Dongarra master ornl.gov netlib/sfmm/ ref Computer Methods for Mathematical Computations by George Forsythe, Mike Malcolm, and Cleve Moler. see fmm prec single master ornl.gov netlib/slap/ for iterative symmetric and non-symmetric linear system solution # Sparse Linear Algebra Package. Included in this package are core routines to do Iterative Refinement iteration, Preconditioned Conjugate Gradient iteration, Preconditioned Conjugate Gradient iteration on the Normal Equations, Preconditioned BiConjugate Gradient iteration, Preconditioned BiConjugate Gradient Squared iteration, Orthomin iteration and Generalized Minimum Residual iteration. Core routines require the user to supply "MATVEC" (Matrix Vector Multiply) and "MSOLVE" (Preconditiong) routines. by Mark K. Seager & Anne Greenbaum editor Jack Dongarra master ornl.gov netlib/slatec/ # comprehensive software library containing over 1400 general purpose mathematical and statistical routines written in Fortran 77. editor Tom Rowan master ornl.gov netlib/sminpack/ for nonlinear equations and nonlinear least squares problems. # Five algorithmic paths each include a core subroutine and an easy-to-use driver. The algorithms proceed either from an analytic specification of the Jacobian matrix or directly from the problem functions. The paths include facilities for systems of equations with a banded Jacobian matrix, for least squares problems with a large amount of data, and for checking the consistency of the Jacobian matrix with the functions. by Jorge More', Burt Garbow, and Ken Hillstrom at Argonne National Laboratory. prec single see minpack master ornl.gov netlib/sodepack/ for ODE package by Alan Hindmarch and others prec single see odepack master netlib.att.com netlib/sparse/ for large sparse systems of linear equations using LU factorization. # real and complex square Besides being able to solve linear systems, it is solves transposed systems, find determinants, multiplies a vector by a matrix, and estimate errors due to ill-conditioning in the system of equations and instability in the computations. Sparse does not require symmetry and is able to perform numerical pivoting (either diagonal or complete) to avoid unnecessary error in the solution. by Ken Kundert, Alberto Sangiovanni-Vincentelli. (sparse@ic.berkeley.edu) lang C editor Jack Dongarra master ornl.gov netlib/sparse-blas/ for sparse extension to Basic Linear Algebra Subprograms. by Dave Dodson convex!dodson@a.cs.uiuc.edu editor Jack Dongarra master ornl.gov netlib/sparspak/ # withdrawn by authors' request master netlib.att.com netlib/specfun/ for special functions and accompanying test programs by W.J. Cody, Argonne National Laboratory master ornl.gov netlib/spin/ for Automated Verification of Concurrent Systems. ref `Design and Validation of Computer Protocols,' Prentice Hall, 1991 by Gerard J. Holzmann master netlib.att.com netlib/stoeplitz/ for linear systems of Toeplitz or circulant form # and for orthogonal factorization of column-circulant matrices. by Burt Garbow at Argonne National Laboratory, # as a culmination of Soviet-American collaborative effort. prec single see toeplitz master ornl.gov netlib/stringsearch/ for testing string matching algorithms # This is a library of code, test data and harnesses for various kinds of string matching, includeing Boyer-Moore. by Hume and Sunday andrew@netlib.att.com ref "Fast String Searching", Software-Practice and Experience master netlib.att.com netlib/svdpack/ for singular values and singular vectors of large sparse matrices. by Mike Berry, University of Tennessee. master ornl.gov contact berry@cs.utk.edu netlib/templates/ for "one-liner" drivers of common numerical algorithms Also, codes from Templates book. master ornl.gov netlib/toeplitz/ for linear systems of Toeplitz or circulant form # and for orthogonal factorization of column-circulant matrices. by Burt Garbow at Argonne National Laboratory, # as a culmination of Soviet-American collaborative effort. prec double see stoeplitz master ornl.gov netlib/typesetting/ for troff and TeX macros editor Eric Grosse master netlib.att.com netlib/uncon/ for unconstrained optimization master netlib.att.com netlib/vanhuffel/ for total least squares, Partial Singular Value Decomposition # The TLS problem assumes an overdetermined set of linear equations AX = B, where both the data matrix A as well as the observation matrix B are inaccurate. The subroutine PTLS solves the Total Least Squares (TLS) problem by using a Partial Singular Value Decomposition (PSVD), hereby improving considerably the computational efficiency with respect to the classi- cal TLS algorithm. by Sabine VAN HUFFEL, KU Leuven. master netlib.att.com netlib/vfftpack/ for a vectorized version of fftpack, for multiple sequences. by Sweet, Lindgren, and Boisvert. master netlib.att.com netlib/vfnlib/ for vectorized evaluation of special functions alg chebyshev series approximation by Ron Boisvert and Bonita Saunders ref ACM Trans Math Softw, vol 18 (1992), no 4, pp 456-469 age research see fn master netlib.att.com netlib/voronoi/ for Voronoi regions and Delaunay triangulations editor Eric Grosse master netlib.att.com netlib/y12m/ for sparse linear systems by Zahari Zlatev, Jerzy Wasniewski and Kjeld Schaumburg Comp Sci; Math Inst; Univ Aarhus; Ny Munkegade; DK 8000 Aarhus ref Z. Zlatev et.al., Y12M solution of large and sparse systems of linear algebraic equations, Lecture Notes in Computer Science Volume 121, Springer, 1981. master ornl.gov