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cpbtrs (3)
  • >> cpbtrs (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         cpbtrs - solve a system of linear equations A*X = B  with  a
         Hermitian positive definite band matrix A using the Cholesky
         factorization A = U**H*U or A = L*L**H computed by CPBTRF
    
    SYNOPSIS
         SUBROUTINE CPBTRS( UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO
                   )
    
         CHARACTER UPLO
    
         INTEGER INFO, KD, LDAB, LDB, N, NRHS
    
         COMPLEX AB( LDAB, * ), B( LDB, * )
    
    
    
         #include <sunperf.h>
    
         void cpbtrs(char uplo, int n,  int  kd,  int  nrhs,  complex
                   *cab,  int ldab, complex *cb, int ldb, int * info)
                   ;
    
    PURPOSE
         CPBTRS solves a system of linear equations A*X =  B  with  a
         Hermitian positive definite band matrix A using the Cholesky
         factorization A = U**H*U or A = L*L**H computed by CPBTRF.
    
    
    ARGUMENTS
         UPLO      (input) CHARACTER*1
                   = 'U':  Upper triangular factor stored in AB;
                   = 'L':  Lower triangular factor stored in AB.
    
         N         (input) INTEGER
                   The order of the matrix A.  N >= 0.
    
         KD        (input) INTEGER
                   The number of superdiagonals of the  matrix  A  if
                   UPLO  = 'U', or the number of subdiagonals if UPLO
                   = 'L'.  KD >= 0.
    
         NRHS      (input) INTEGER
                   The number of right hand sides, i.e.,  the  number
                   of columns of the matrix B.  NRHS >= 0.
    
         AB        (input) COMPLEX array, dimension (LDAB,N)
                   The triangular factor U or  L  from  the  Cholesky
                   factorization A = U**H*U or A = L*L**H of the band
                   matrix A, stored in the first  KD+1  rows  of  the
                   array.  The j-th column of U or L is stored in the
                   j-th column of the array AB as follows:   if  UPLO
                   ='U',   AB(kd+1+i-j,j)   =   U(i,j)  for  max(1,j-
                   kd)<=i<=j; if UPLO ='L', AB(1+i-j,j)     =  L(i,j)
                   for j<=i<=min(n,j+kd).
    
         LDAB      (input) INTEGER
                   The leading dimension of the array  AB.   LDAB  >=
                   KD+1.
    
         B         (input/output) COMPLEX array, dimension (LDB,NRHS)
                   On entry, the right hand side matrix B.  On  exit,
                   the solution matrix X.
    
         LDB       (input) INTEGER
                   The leading dimension of  the  array  B.   LDB  >=
                   max(1,N).
    
         INFO      (output) INTEGER
                   = 0:  successful exit
                   < 0:  if INFO = -i, the i-th argument had an ille-
                   gal value
    
    
    
    


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