SB04RW

Constructing the right-hand side for a system of equations in Hessenberg form solved via SB04RY

Purpose

  To construct the right-hand side D for a system of equations in
  Hessenberg form solved via SB04RY (case with 1 right-hand side).

      SUBROUTINE SB04RW( ABSCHR, UL, N, M, C, LDC, INDX, AB, LDAB, BA,
     $                   LDBA, D, DWORK )
C     .. Scalar Arguments ..
      CHARACTER         ABSCHR, UL
      INTEGER           INDX, LDAB, LDBA, LDC, M, N
C     .. Array Arguments ..
      DOUBLE PRECISION  AB(LDAB,*), BA(LDBA,*), C(LDC,*), D(*), DWORK(*)

Mode Parameters

  ABSCHR  CHARACTER*1
          Indicates whether AB contains A or B, as follows:
          = 'A':  AB contains A;
          = 'B':  AB contains B.

  UL      CHARACTER*1
          Indicates whether AB is upper or lower Hessenberg matrix,
          as follows:
          = 'U':  AB is upper Hessenberg;
          = 'L':  AB is lower Hessenberg.

  N       (input) INTEGER
          The order of the matrix A.  N >= 0.

  M       (input) INTEGER
          The order of the matrix B.  M >= 0.

  C       (input) DOUBLE PRECISION array, dimension (LDC,M)
          The leading N-by-M part of this array must contain both
          the not yet modified part of the coefficient matrix C of
          the Sylvester equation X + AXB = C, and both the currently
          computed part of the solution of the Sylvester equation.

  LDC     INTEGER
          The leading dimension of array C.  LDC >= MAX(1,N).

  INDX    (input) INTEGER
          The position of the column/row of C to be used in the
          construction of the right-hand side D.

  AB      (input) DOUBLE PRECISION array, dimension (LDAB,*)
          The leading N-by-N or M-by-M part of this array must
          contain either A or B of the Sylvester equation
          X + AXB = C.

  LDAB    INTEGER
          The leading dimension of array AB.
          LDAB >= MAX(1,N) or LDAB >= MAX(1,M) (depending on
          ABSCHR = 'A' or ABSCHR = 'B', respectively).

  BA      (input) DOUBLE PRECISION array, dimension (LDBA,*)
          The leading N-by-N or M-by-M part of this array must
          contain either A or B of the Sylvester equation
          X + AXB = C, the matrix not contained in AB.

  LDBA    INTEGER
          The leading dimension of array BA.
          LDBA >= MAX(1,N) or LDBA >= MAX(1,M) (depending on
          ABSCHR = 'B' or ABSCHR = 'A', respectively).

  D       (output) DOUBLE PRECISION array, dimension (*)
          The leading N or M part of this array (depending on
          ABSCHR = 'B' or ABSCHR = 'A', respectively) contains the
          right-hand side.

  DWORK   DOUBLE PRECISION array, dimension (LDWORK)
          where LDWORK is equal to N or M (depending on ABSCHR = 'B'
          or ABSCHR = 'A', respectively).

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Program Text

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