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
https://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.
f16pkc returns the solution in
x.