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MAN page from openSUSE Leap 42 blas-man-3.4.2-3.6.1.noarch.rpm

ctbsv.f

Section: LAPACK (3)
Updated: Wed Oct 17 2018
Index 

NAME

ctbsv.f -  

SYNOPSIS


 

Functions/Subroutines


subroutine CTBSV (UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX)
CTBSV  

Function/Subroutine Documentation

 

subroutine CTBSV (characterUPLO, characterTRANS, characterDIAG, integerN, integerK, complex, dimension(lda,*)A, integerLDA, complex, dimension(*)X, integerINCX)

CTBSV Purpose:

 CTBSV  solves one of the systems of equations    A*x = b,   or   A**T*x = b,   or   A**H*x = b, where b and x are n element vectors and A is an n by n unit, or non-unit, upper or lower triangular band matrix, with ( k + 1 ) diagonals. No test for singularity or near-singularity is included in this routine. Such tests must be performed before calling this routine.


 

Parameters:

UPLO

          UPLO is CHARACTER*1           On entry, UPLO specifies whether the matrix is an upper or           lower triangular matrix as follows:              UPLO = 'U' or 'u'   A is an upper triangular matrix.              UPLO = 'L' or 'l'   A is a lower triangular matrix.


TRANS

          TRANS is CHARACTER*1           On entry, TRANS specifies the equations to be solved as           follows:              TRANS = 'N' or 'n'   A*x = b.              TRANS = 'T' or 't'   A**T*x = b.              TRANS = 'C' or 'c'   A**H*x = b.


DIAG

          DIAG is CHARACTER*1           On entry, DIAG specifies whether or not A is unit           triangular as follows:              DIAG = 'U' or 'u'   A is assumed to be unit triangular.              DIAG = 'N' or 'n'   A is not assumed to be unit                                  triangular.


N

          N is INTEGER           On entry, N specifies the order of the matrix A.           N must be at least zero.


K

          K is INTEGER           On entry with UPLO = 'U' or 'u', K specifies the number of           super-diagonals of the matrix A.           On entry with UPLO = 'L' or 'l', K specifies the number of           sub-diagonals of the matrix A.           K must satisfy  0 .le. K.


A

          A is COMPLEX array of DIMENSION ( LDA, n ).           Before entry with UPLO = 'U' or 'u', the leading ( k + 1 )           by n part of the array A must contain the upper triangular           band part of the matrix of coefficients, supplied column by           column, with the leading diagonal of the matrix in row           ( k + 1 ) of the array, the first super-diagonal starting at           position 2 in row k, and so on. The top left k by k triangle           of the array A is not referenced.           The following program segment will transfer an upper           triangular band matrix from conventional full matrix storage           to band storage:                 DO 20, J = 1, N                    M = K + 1 - J                    DO 10, I = MAX( 1, J - K ), J                       A( M + I, J ) = matrix( I, J )              10    CONTINUE              20 CONTINUE           Before entry with UPLO = 'L' or 'l', the leading ( k + 1 )           by n part of the array A must contain the lower triangular           band part of the matrix of coefficients, supplied column by           column, with the leading diagonal of the matrix in row 1 of           the array, the first sub-diagonal starting at position 1 in           row 2, and so on. The bottom right k by k triangle of the           array A is not referenced.           The following program segment will transfer a lower           triangular band matrix from conventional full matrix storage           to band storage:                 DO 20, J = 1, N                    M = 1 - J                    DO 10, I = J, MIN( N, J + K )                       A( M + I, J ) = matrix( I, J )              10    CONTINUE              20 CONTINUE           Note that when DIAG = 'U' or 'u' the elements of the array A           corresponding to the diagonal elements of the matrix are not           referenced, but are assumed to be unity.


LDA

          LDA is INTEGER           On entry, LDA specifies the first dimension of A as declared           in the calling (sub) program. LDA must be at least           ( k + 1 ).


X

          X is COMPLEX array of dimension at least           ( 1 + ( n - 1 )*abs( INCX ) ).           Before entry, the incremented array X must contain the n           element right-hand side vector b. On exit, X is overwritten           with the solution vector x.


INCX

          INCX is INTEGER           On entry, INCX specifies the increment for the elements of           X. INCX must not be zero.


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Further Details:

  Level 2 Blas routine.  -- Written on 22-October-1986.     Jack Dongarra, Argonne National Lab.     Jeremy Du Croz, Nag Central Office.     Sven Hammarling, Nag Central Office.     Richard Hanson, Sandia National Labs.


 

Definition at line 190 of file ctbsv.f. 

Author

Generated automatically by Doxygen for LAPACK from the source code.


 

Index

NAME
SYNOPSIS
Functions/Subroutines
Function/Subroutine Documentation
subroutine CTBSV (characterUPLO, characterTRANS, characterDIAG, integerN, integerK, complex, dimension(lda,*)A, integerLDA, complex, dimension(*)X, integerINCX)
Author

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