diff options
Diffstat (limited to 'SRC/slasr.f')
| -rw-r--r-- | SRC/slasr.f | 70 |
1 files changed, 35 insertions, 35 deletions
diff --git a/SRC/slasr.f b/SRC/slasr.f index 5f8cbaa5..86bfd4b6 100644 --- a/SRC/slasr.f +++ b/SRC/slasr.f @@ -2,24 +2,24 @@ * * =========== DOCUMENTATION =========== * -* Online html documentation available at -* http://www.netlib.org/lapack/explore-html/ +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ * *> \htmlonly -*> Download SLASR + dependencies -*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/slasr.f"> -*> [TGZ]</a> -*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/slasr.f"> -*> [ZIP]</a> -*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/slasr.f"> +*> Download SLASR + dependencies +*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/slasr.f"> +*> [TGZ]</a> +*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/slasr.f"> +*> [ZIP]</a> +*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/slasr.f"> *> [TXT]</a> -*> \endhtmlonly +*> \endhtmlonly * * Definition: * =========== * * SUBROUTINE SLASR( SIDE, PIVOT, DIRECT, M, N, C, S, A, LDA ) -* +* * .. Scalar Arguments .. * CHARACTER DIRECT, PIVOT, SIDE * INTEGER LDA, M, N @@ -27,7 +27,7 @@ * .. Array Arguments .. * REAL A( LDA, * ), C( * ), S( * ) * .. -* +* * *> \par Purpose: * ============= @@ -36,35 +36,35 @@ *> *> SLASR applies a sequence of plane rotations to a real matrix A, *> from either the left or the right. -*> +*> *> When SIDE = 'L', the transformation takes the form -*> +*> *> A := P*A -*> +*> *> and when SIDE = 'R', the transformation takes the form -*> +*> *> A := A*P**T -*> +*> *> where P is an orthogonal matrix consisting of a sequence of z plane *> rotations, with z = M when SIDE = 'L' and z = N when SIDE = 'R', *> and P**T is the transpose of P. -*> +*> *> When DIRECT = 'F' (Forward sequence), then -*> +*> *> P = P(z-1) * ... * P(2) * P(1) -*> +*> *> and when DIRECT = 'B' (Backward sequence), then -*> +*> *> P = P(1) * P(2) * ... * P(z-1) -*> +*> *> where P(k) is a plane rotation matrix defined by the 2-by-2 rotation -*> +*> *> R(k) = ( c(k) s(k) ) *> = ( -s(k) c(k) ). -*> +*> *> When PIVOT = 'V' (Variable pivot), the rotation is performed *> for the plane (k,k+1), i.e., P(k) has the form -*> +*> *> P(k) = ( 1 ) *> ( ... ) *> ( 1 ) @@ -73,13 +73,13 @@ *> ( 1 ) *> ( ... ) *> ( 1 ) -*> +*> *> where R(k) appears as a rank-2 modification to the identity matrix in *> rows and columns k and k+1. -*> +*> *> When PIVOT = 'T' (Top pivot), the rotation is performed for the *> plane (1,k+1), so P(k) has the form -*> +*> *> P(k) = ( c(k) s(k) ) *> ( 1 ) *> ( ... ) @@ -88,12 +88,12 @@ *> ( 1 ) *> ( ... ) *> ( 1 ) -*> +*> *> where R(k) appears in rows and columns 1 and k+1. -*> +*> *> Similarly, when PIVOT = 'B' (Bottom pivot), the rotation is *> performed for the plane (k,z), giving P(k) the form -*> +*> *> P(k) = ( 1 ) *> ( ... ) *> ( 1 ) @@ -102,7 +102,7 @@ *> ( ... ) *> ( 1 ) *> ( -s(k) c(k) ) -*> +*> *> where R(k) appears in rows and columns k and z. The rotations are *> performed without ever forming P(k) explicitly. *> \endverbatim @@ -187,10 +187,10 @@ * Authors: * ======== * -*> \author Univ. of Tennessee -*> \author Univ. of California Berkeley -*> \author Univ. of Colorado Denver -*> \author NAG Ltd. +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. * *> \date September 2012 * |