dgemlqt.f - Man Page




subroutine dgemlqt (side, trans, m, n, k, mb, v, ldv, t, ldt, c, ldc, work, info)

Function/Subroutine Documentation

subroutine dgemlqt (character side, character trans, integer m, integer n, integer k, integer mb, double precision, dimension( ldv, * ) v, integer ldv, double precision, dimension( ldt, * ) t, integer ldt, double precision, dimension( ldc, * ) c, integer ldc, double precision, dimension( * ) work, integer info)



 DGEMLQT overwrites the general real M-by-N matrix C with

                 SIDE = 'L'     SIDE = 'R'
 TRANS = 'N':      Q C            C Q
 TRANS = 'T':   Q**T C            C Q**T

 where Q is a real orthogonal matrix defined as the product of K
 elementary reflectors:

       Q = H(1) H(2) . . . H(K) = I - V T V**T

 generated using the compact WY representation as returned by DGELQT.

 Q is of order M if SIDE = 'L' and of order N  if SIDE = 'R'.


          SIDE is CHARACTER*1
          = 'L': apply Q or Q**T from the Left;
          = 'R': apply Q or Q**T from the Right.


          TRANS is CHARACTER*1
          = 'N':  No transpose, apply Q;
          = 'C':  Transpose, apply Q**T.


          M is INTEGER
          The number of rows of the matrix C. M >= 0.


          N is INTEGER
          The number of columns of the matrix C. N >= 0.


          K is INTEGER
          The number of elementary reflectors whose product defines
          the matrix Q.
          If SIDE = 'L', M >= K >= 0;
          if SIDE = 'R', N >= K >= 0.


          MB is INTEGER
          The block size used for the storage of T.  K >= MB >= 1.
          This must be the same value of MB used to generate T
          in DGELQT.


          V is DOUBLE PRECISION array, dimension
                               (LDV,M) if SIDE = 'L',
                               (LDV,N) if SIDE = 'R'
          The i-th row must contain the vector which defines the
          elementary reflector H(i), for i = 1,2,...,k, as returned by
          DGELQT in the first K rows of its array argument A.


          LDV is INTEGER
          The leading dimension of the array V.  LDV >= max(1,K).


          T is DOUBLE PRECISION array, dimension (LDT,K)
          The upper triangular factors of the block reflectors
          as returned by DGELQT, stored as a MB-by-K matrix.


          LDT is INTEGER
          The leading dimension of the array T.  LDT >= MB.


          C is DOUBLE PRECISION array, dimension (LDC,N)
          On entry, the M-by-N matrix C.
          On exit, C is overwritten by Q C, Q**T C, C Q**T or C Q.


          LDC is INTEGER
          The leading dimension of the array C. LDC >= max(1,M).


          WORK is DOUBLE PRECISION array. The dimension of
          WORK is N*MB if SIDE = 'L', or  M*MB if SIDE = 'R'.


          INFO is INTEGER
          = 0:  successful exit
          < 0:  if INFO = -i, the i-th argument had an illegal value

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Definition at line 166 of file dgemlqt.f.


Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

The man page dgemlqt(3) is an alias of dgemlqt.f(3).

Tue Nov 28 2023 12:08:41 Version 3.12.0 LAPACK