LINPACK_Z\
Linear Algebra Library\
Double Precision Complex {#linpack_z-linear-algebra-library-double-precision-complex align=”center”}
========================
LINPACK_Z is a C++ library which can solve systems of linear
equations for a variety of matrix types and storage modes, using double
precision complex arithmetic, by Jack Dongarra, Jim Bunch, Cleve Moler,
Pete Stewart.
LINPACK has officially been superseded by the LAPACK library. The LAPACK
library uses more modern algorithms and code structure. However, the
LAPACK library can be extraordinarily complex; what is done in a single
LINPACK routine may correspond to 10 or 20 utility routines in LAPACK.
This is fine if you treat LAPACK as a black box. But if you wish to
learn how the algorithm works, or to adapt it, or to convert the code to
another language, this is a real drawback. This is one reason I still
keep a copy of LINPACK around.
Versions of LINPACK in various arithmetic precisions are available
through the NETLIB web site.
Licensing: {#licensing align=”center”}
The computer code and data files described and made available on this
web page are distributed under the GNU LGPL
license.
Languages: {#languages align=”center”}
LINPACK_Z is available in a C++
version and a FORTRAN77
version and a FORTRAN90
version.
BLAS1_Z a C++ library which
contains basic linear algebra routines for vector-vector operations,
using double precision complex arithmetic.
COMPLEX_NUMBERS,
a C++ program which demonstrates some simple features involved in the
use of complex numbers in C programming.
LAPACK_EXAMPLES,
a FORTRAN77 program which demonstrates the use of the LAPACK linear
algebra library.
LINPACK_BENCH, a C++
program which measures the time taken by LINPACK to solve a particular
linear system.
LINPACK_C, a C++ library
which solves linear systems using single precision complex arithmetic;
LINPACK_D, a C++ library
which solves linear systems using double precision real arithmetic;
LINPACK_S, a C++ library
which solves linear systems using single precision real arithmetic;
TEST_MAT, a C++ library which
defines test matrices.
Author: {#author align=”center”}
Original FORTRAN77 version by Jack Dongarra, Jim Bunch, Cleve Moler,
Pete Stewart. C++ version by John Burkardt.
Reference: {#reference align=”center”}
- Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart,\
LINPACK User’s Guide,\
SIAM, 1979,\
ISBN13: 978-0-898711-72-1,\
LC: QA214.L56.
- Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh,\
Algorithm 539, Basic Linear Algebra Subprograms for Fortran Usage,\
ACM Transactions on Mathematical Software,\
Volume 5, Number 3, September 1979, pages 308-323.
Source Code: {#source-code align=”center”}
Examples and Tests: {#examples-and-tests align=”center”}
List of Routines: {#list-of-routines align=”center”}
- DROTG constructs a Givens plane rotation.
- ZCHDC: Cholesky decomposition of a Hermitian positive definite
matrix.
- ZCHDD downdates an augmented Cholesky decomposition.
- ZCHEX updates a Cholesky factorization.
- ZCHUD updates an augmented Cholesky decomposition.
- ZGBCO factors a complex band matrix and estimates its condition.
- ZGBDI computes the determinant of a band matrix factored by
ZGBCO or ZGBFA.
- ZGBFA factors a complex band matrix by elimination.
- ZGBSL solves a complex band system factored by ZGBCO or ZGBFA.
- ZGECO factors a complex matrix and estimates its condition.
- ZGEDI computes the determinant and inverse of a matrix.
- ZGEFA factors a complex matrix by Gaussian elimination.
- ZGESL solves a complex system factored by ZGECO or ZGEFA.
- ZGTSL solves a complex general tridiagonal system.
- ZHICO factors a complex hermitian matrix and estimates its
condition.
- ZHIDI computes the determinant and inverse of a matrix factored
by ZHIFA.
- ZHIFA factors a complex hermitian matrix.
- ZHISL solves a complex hermitian system factored by ZHIFA.
- ZHPCO factors a complex hermitian packed matrix and estimates
its condition.
- ZHPDI: determinant, inertia and inverse of a complex hermitian
matrix.
- ZHPFA factors a complex hermitian packed matrix.
- ZHPSL solves a complex hermitian system factored by ZHPFA.
- ZPBCO factors a complex hermitian positive definite band matrix.
- ZPBDI gets the determinant of a hermitian positive definite band
matrix.
- ZPBFA factors a complex hermitian positive definite band matrix.
- ZPBSL solves a complex hermitian positive definite band system.
- ZPOCO factors a complex hermitian positive definite matrix.
- ZPODI: determinant, inverse of a complex hermitian positive
definite matrix.
- ZPOFA factors a complex hermitian positive definite matrix.
- ZPOSL solves a complex hermitian positive definite system.
- ZPPCO factors a complex hermitian positive definite matrix.
- ZPPDI: determinant, inverse of a complex hermitian positive
definite matrix.
- ZPPFA factors a complex hermitian positive definite packed
matrix.
- ZPPSL solves a complex hermitian positive definite linear
system.
- ZPTSL solves a Hermitian positive definite tridiagonal linear
system.
- ZQRDC computes the QR factorization of an N by P complex matrix.
- ZQRSL solves, transforms or projects systems factored by ZQRDC.
- ZSICO factors a complex symmetric matrix.
- ZSIDI computes the determinant and inverse of a matrix factored
by ZSIFA.
- ZSIFA factors a complex symmetric matrix.
- ZSISL solves a complex symmetric system that was factored by
ZSIFA.
- ZSPCO factors a complex symmetric matrix stored in packed form.
- ZSPDI sets the determinant and inverse of a complex symmetric
packed matrix.
- ZSPFA factors a complex symmetric matrix stored in packed form.
- ZSPSL solves a complex symmetric system factored by ZSPFA.
- ZSVDC applies the singular value decompostion to an N by P
matrix.
- ZTRCO estimates the condition of a complex triangular matrix.
- ZTRDI computes the determinant and inverse of a complex
triangular matrix.
- ZTRSL solves triangular systems T*X=B or Hermitian(T)*X=B.
You can go up one level to the C++ source codes.
Last revised on 11 October 2010.