nag_dtbsv (f16pkc) performs one of the matrix-vector operations
where
is an
by
real triangular band matrix with
subdiagonals or superdiagonals,
is an
-element real vector and
is a real scalar.
denotes
or equivalently
.
Basic Linear Algebra Subprograms Technical (BLAST) Forum (2001)
Basic Linear Algebra Subprograms Technical (BLAST) Forum Standard University of Tennessee, Knoxville, Tennessee
http://www.netlib.org/blas/blast-forum/blas-report.pdf
The BLAS standard requires accurate implementations which avoid unnecessary over/underflow (see Section 2.7 of
Basic Linear Algebra Subprograms Technical (BLAST) Forum (2001)).
None.
This example solves the real triangular band system of linear equations
, where
is the
by
triangular matrix given with one subdiagonal given by
and where
is stored in array
ab using banded storage format and
is stored in array
x.
nag_dtbsv (f16pkc) returns the solution in
x.