**r8utp**,
a Fortran90 code which
carries out some basic linear algebra operations on R8UTP matrices
(real 64 bit precision upper triangular packed format).

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

**r8utp** is available in
a C version and
a C++ version and
a Fortran90 version and
a MATLAB version and
a Python version

r83, a Fortran90 code which contains linear algebra routines for r83 matrices (real, 64 bit, tridiagonal 3xn format).

r83_np, a Fortran90 code which contains linear algebra routines for r83_np matrices (real, 64 bit, tridiagonal 3xn format, nonpivoting factorization).

r83p, a Fortran90 code which contains linear algebra routines for r83p matrices (real, 64 bit, tridiagonal periodic format).

r83s, a Fortran90 code which contains linear algebra routines for r83s matrices (real, 64 bit, tridiagonal scalar format).

r83t, a Fortran90 code which contains linear algebra routines for r83t matrices (real, 64 bit, tridiagonal mx3 format).

r83v, a Fortran90 code which contains linear algebra routines for r83v matrices (real, 64 bit, tridiagonal three vector format).

r85, a Fortran90 code which contains linear algebra routines for r85 matrices (real, 64 bit, pentadiagonal format).

r8bb, a Fortran90 code which contains linear algebra routines for r8bb matrices (real, 64 bit, border banded format).

r8blt, a Fortran90 code which contains linear algebra routines for r8blt matrices (real, 64 bit, band lower triangular format).

r8bto, a Fortran90 code which contains linear algebra routines for r8bto matrices (real, 64 bit, block toeplitz format).

r8but, a Fortran90 code which contains linear algebra routines for r8but matrices (real, 64 bit, band upper triangular format).

r8cb, a Fortran90 code which contains linear algebra routines for r8cb matrices (real, 64 bit, compressed band format).

r8cbb, a Fortran90 code which contains linear algebra routines for r8cbb matrices (real, 64 bit, compressed border banded format).

r8ccs, a Fortran90 code which contains linear algebra routines for r8ccs matrices (real, 64 bit, compressed column storage (colptr,row,value) format).

r8ci, a Fortran90 code which contains linear algebra routines for r8ci matrices (real, 64 bit, circulant format).

r8col, a Fortran90 code which contains utility routines for r8col's, that is, double precision real mxn arrays, considered as n column vectors, each of length m. the data may be thought of as a matrix of multiple columns, and many operations will be carried out columnwise.

r8crs, a Fortran90 code which contains linear algebra routines for r8crs matrices (real, 64 bit, compressed row storage (crs) format).

r8gb, a Fortran90 code which contains linear algebra routines for r8gb matrices (real, 64 bit, general banded format).

r8gd, a Fortran90 code which contains linear algebra routines for r8gd matrices (real, 64 bit, general diagonal format).

r8ge, a Fortran90 code which contains linear algebra routines for r8ge matrices (real, 64 bit, general format).

r8ge_np, a Fortran90 code which contains nonpivoting linear algebra routines for r8ge matrices (real, 64 bit, general nonpivoting format).

r8lt, a Fortran90 code which contains linear algebra routines for r8lt matrices (real, 64 bit, lower triangular format).

r8ltt, a Fortran90 code which contains linear algebra routines for r8ltt matrices (real, 64 bit, lower triangular toeplitz format).

r8ncf, a Fortran90 code which contains linear algebra routines for r8ncf matrices (real, 64 bit, nonsymmetric coordinate format).

r8pbl, a Fortran90 code which contains linear algebra routines for r8pbl matrices (real, 64 bit, positive definite symmetric band lower format).

r8pbu, a Fortran90 code which contains linear algebra routines for r8pbu matrices (real, 64 bit, positive definite symmetric band upper format).

r8po, a Fortran90 code which contains linear algebra routines for r8po matrices (real, 64 bit, positive definite symmetric format).

r8pp, a Fortran90 code which contains linear algebra routines for r8pp matrices (real, 64 bit, positive definite symmetric packed format).

r8ri, a Fortran90 code which contains linear algebra routines for r8ri matrices (real, 64 bit, row indexed format).

r8row, a Fortran90 code which contains utility routines for r8row's, that is, double precision real mxn arrays, considered as m row vectors, each of length n. the data may be thought of as a matrix of multiple rows, and many operations will be carried out rowwise.

r8s3, a Fortran90 code which contains linear algebra routines for r8s3 matrices (real, 64 bit, slap triad (i,j,aij) format).

r8sd, a Fortran90 code which contains linear algebra routines for r8sd matrices (real, 64 bit, symmetric diagonal format).

r8sm, a Fortran90 code which contains linear algebra routines for r8sm (sherman-morrison) matrices (real, 64 bit, a-u*v' format).

r8sp, a Fortran90 code which contains linear algebra routines for r8sp matrices (real, 64 bit, slap triad (i,j,aij) format).

r8sr, a Fortran90 code which carries out linear algebra operations for r8sr matrices (real, 64 bit, diagonal + compressed row offdiagonal format).

r8ss, a Fortran90 code which carries out linear algebra operations for r8ss matrices (real, 64 bit, symmetric skyline format).

r8sto, a Fortran90 code which contains linear algebra routines for r8sto matrices (real, 64 bit, symmetric toeplitz n format).

r8to, a Fortran90 code which contains linear algebra routines for r8to matrices (real, 64 bit, toeplitz 2*n-1 format).

r8ut, a Fortran90 code which carries out some basic linear algebra operations on R8UT matrices (real 64 bit precision upper triangular format).

r8utt, a Fortran90 code which contains linear algebra routines for r8utt matrices (real, 64 bit, upper triangular toeplitz format).

r8vm, a Fortran90 code which contains linear algebra routines for r8vm matrices (real, 64 bit, vandermonde format).