XLPack 6.1
Excel VBA Numerical Library Reference Manual
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◆ Ztbsv()

Sub Ztbsv ( Uplo As  String,
Trans As  String,
Diag As  String,
N As  Long,
K As  Long,
Ab_IJ As  Complex,
LdAb As  Long,
X_I As  Complex,
Optional IncX As  Long = 1 
)

Solution of Ax = b, ATx = b or AHx = b (complex triangular band matrices) (BLAS 2)

Purpose
This routine solves one of the systems of equations
A*x = b, A^T*x = b or A^H*x = b
where b and x are n element vectors and A is an n x 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
[in]UploSpecifies whether the matrix is an upper or lower triangular matrix as follows:
= "U": A is an upper triangular matrix.
= "L": A is an lower triangular matrix.
[in]TransSpecifies the equation to be solved as follows:
= "N": A*x = b.
= "T": A^T*x = b.
= "C": A^H*x = b.
[in]DiagSpecifies whether or not A is unit triangular as follows:
= "N": A is not assumed to be unit triangular.
= "U": A is assumed to be unit triangular. (Diagonal elements of Ab() are not referenced)
[in]NOrder of the matrix A. (N >= 0) (If N = 0, returns without computation)
[in]KNumber of super/sub-diagonals of the matrix A. (K >= 0)
[in]Ab_IJAn element Ab(I, J) of the array Ab(). Starting from this location, N x N triangular band matrix A is stored in symmetric band matrix form (K+1 x N). (Upper or lower part is to be stored in accordance with Uplo)
[in]LdAbLeading dimension of the two dimensional array Ab(). (LdAb >= K + 1)
[in]X_IAn element X(I) of the array X().
[in] Starting from this location, N vector b is stored with element spacing IncX.
[out] Starting from this location, solution x (N vector) of A*x = b, A^T*x = b or A^H*x = b is stored with element spacing IncX.
[in]IncX(Optional)
Element spacing of vector x in the array X(). (IncX <> 0) (default = 1)
Reference
BLAS