view release on metacpan or  search on metacpan

lib/Math/BLAS/Legacy.pm  view on Meta::CPAN

=item C<blas_dnrm2> (I<n>, I<x>, I<x_ind>, I<x_incr>)

Return the two-norm (Euclidean norm) of a vector.

=over

=item *

First argument I<n> is the number of array elements.

=item *

Second argument I<x> is the array (an array reference).

=item *

Third argument I<x_ind> is the array index of the first array element
for the array I<x>.

=item *

Fourth argument I<x_incr> is the array index increment for the array
I<x>.

=back


=item C<blas_idamax> (I<n>, I<x>, I<x_ind>, I<x_incr>)

Return the index offset of the first array element having the maximum
absolute value.

=over

=item *

First argument I<n> is the number of array elements to search.

=item *

Second argument I<x> is the array (an array reference).

=item *

Third argument I<x_ind> is the array index of the first array element
for the array I<x>.

=item *

Fourth argument I<x_incr> is the array index increment for the array
I<x>.

=back

=back


=head2 Level 2 BLAS

The underlying mathematical formulation is

=over

S<I<y> ← α I<A>·I<x> + β I<y>>

=back

where I<A> is a S<(I<m>, I<n>) matrix>, I<x> and I<y> are vectors, and
α and β are scalars.

If β is zero, I<y> is set to the result of the matrix/vector
multiplication.  If β is one, the result of the matrix/vector
multiplication is added to I<y>.  Otherwise, I<y> is scaled by β
before adding the result of the matrix/vector multiplication.

=over

=item C<blas_dgemv> (I<a_op>, I<m>, I<n>, I<alpha>, I<a>, I<a_ind>, I<a_incr>, I<x>, I<x_ind>, I<x_incr>, I<beta>, I<y>, I<y_ind>, I<y_incr>)

General matrix/vector multiplication.

=over

=item *

First argument I<a_op> is the transpose operator for the matrix I<A>.
Value is either C<BLAS_NO_TRANS> or C<BLAS_TRANS>.

=item *

Second argument I<m> is the number of matrix rows.

=item *

Third argument I<n> is the number of matrix columns.

=item *

Fourth argument I<alpha> is the multiplier.

=item *

Fifth argument I<a> is the matrix operand (an array reference).

=item *

Sixth argument I<a_ind> is the array index of the first array element
for the array I<a>.

=item *

Seventh argument I<a_incr> is the array index increment for the array
I<a>.

=item *

Eighth argument I<x> is the vector operand (an array reference).

=item *

Ninth argument I<x_ind> is the array index of the first array element
for the array I<x>.

=item *

Tenth argument I<x_incr> is the array index increment for the array
I<x>.

=item *

Eleventh argument I<beta> is the scale factor for the result vector.

=item *

Twelfth argument I<y> is the result vector (an array reference).

=item *

Thirteenth argument I<y_ind> is the array index of the first array element
for the array I<y>.

=item *

Fourteenth argument I<y_incr> is the array index increment for the array
I<y>.

=back

=back


=head2 Level 3 BLAS

The underlying mathematical formulation is

=over

S<I<C> ← α I<A>·I<B> + β I<C>>

=back

where I<C> is a S<(I<m>, I<n>) matrix>, I<A> and I<B> are matrices, and
α and β are scalars.

If β is zero, I<C> is set to the result of the matrix/matrix
multiplication.  If β is one, the result of the matrix/matrix
multiplication is added to I<C>.  Otherwise, I<C> is scaled by β
before adding the result of the matrix/matrix multiplication.

=over

=item C<blas_dgemm> (I<a_op>, I<b_op>, I<m>, I<n>, I<k>, I<alpha>, I<a>, I<a_ind>, I<a_incr>, I<b>, I<b_ind>, I<b_incr>, I<beta>, I<c>, I<c_ind>, I<c_incr>)

General matrix/matrix multiplication.

=over

=item *

First argument I<a_op> is the transpose operator for the matrix I<A>.
Value is either C<BLAS_NO_TRANS> or C<BLAS_TRANS>.

=item *

Second argument I<b_op> is the transpose operator for the matrix I<B>.
Value is either C<BLAS_NO_TRANS> or C<BLAS_TRANS>.

=item *

Third argument I<m> is the number of matrix rows.

=item *

Fourth argument I<n> is the number of matrix columns.

=item *

Fifth argument I<k> is the number of matrix columns of the matrix I<A>
and the number of matrix rows of the matrix I<B>.

=item *

Sixth argument I<alpha> is the multiplier.

=item *

Seventh argument I<a> is the left-hand side matrix operand (an array
reference).

=item *

Eighth argument I<a_ind> is the array index of the first array element
for the array I<a>.