ctbtrs (l)  Linux Man Pages
ctbtrs: solves a triangular system of the form A * X = B, A**T * X = B, or A**H * X = B,
Command to display ctbtrs
manual in Linux: $ man l ctbtrs
NAME
CTBTRS  solves a triangular system of the form A * X = B, A**T * X = B, or A**H * X = B,
SYNOPSIS
 SUBROUTINE CTBTRS(

UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B,
LDB, INFO )

CHARACTER
DIAG, TRANS, UPLO

INTEGER
INFO, KD, LDAB, LDB, N, NRHS

COMPLEX
AB( LDAB, * ), B( LDB, * )
PURPOSE
CTBTRS solves a triangular system of the form
where A is a triangular band matrix of order N, and B is an
NbyNRHS matrix. A check is made to verify that A is nonsingular.
ARGUMENTS
 UPLO (input) CHARACTER*1

= aqUaq: A is upper triangular;
= aqLaq: A is lower triangular.
 TRANS (input) CHARACTER*1

Specifies the form of the system of equations:
= aqNaq: A * X = B (No transpose)
= aqTaq: A**T * X = B (Transpose)
= aqCaq: A**H * X = B (Conjugate transpose)
 DIAG (input) CHARACTER*1

= aqNaq: A is nonunit triangular;
= aqUaq: A is unit triangular.
 N (input) INTEGER

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

The number of superdiagonals or subdiagonals of the
triangular band matrix A. 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 upper or lower triangular band matrix A, stored in the
first kd+1 rows of AB. The jth column of A is stored
in the jth column of the array AB as follows:
if UPLO = aqUaq, AB(kd+1+ij,j) = A(i,j) for max(1,jkd)<=i<=j;
if UPLO = aqLaq, AB(1+ij,j) = A(i,j) for j<=i<=min(n,j+kd).
If DIAG = aqUaq, the diagonal elements of A are not referenced
and are assumed to be 1.
 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, if INFO = 0, 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 ith argument had an illegal value
> 0: if INFO = i, the ith diagonal element of A is zero,
indicating that the matrix is singular and the
solutions X have not been computed.
Pages related to ctbtrs
 ctbtrs (3)
 ctbcon (l)  estimates the reciprocal of the condition number of a triangular band matrix A, in either the 1norm or the infinitynorm
 ctbmv (l)  performs one of the matrixvector operations x := A*x, or x := Aaq*x, or x := conjg( Aaq )*x,
 ctbrfs (l)  provides error bounds and backward error estimates for the solution to a system of linear equations with a triangular band coefficient matrix
 ctbsv (l)  solves one of the systems of equations A*x = b, or Aaq*x = b, or conjg( Aaq )*x = b,
 ctfsm (l)  3 BLAS like routine for A in RFP Format
 ctftri (l)  computes the inverse of a triangular matrix A stored in RFP format