?dttrsb

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 10/15/2026

Version

Public

?dttrsb

Solves a system of linear equations with a diagonally dominant tridiagonal coefficient matrix using the LU factorization computed by ?dttrfb .

Syntax

void sdttrsb(const char *trans, const MKL_INT *n, const MKL_INT *nrhs, const float *dl,
             const float *d, const float *du, float *b, const MKL_INT *ldb,
             MKL_INT *info);

void ddttrsb(const char *trans, const MKL_INT *n, const MKL_INT *nrhs, const double *dl,
             const double *d, const double *du, double *b, const MKL_INT *ldb,
             MKL_INT *info);

void cdttrsb(const char *trans, const MKL_INT *n, const MKL_INT *nrhs,
             const MKL_Complex8 *dl, const MKL_Complex8 *d, const MKL_Complex8 *du,
             MKL_Complex8 *b, const MKL_INT *ldb, MKL_INT *info);

void zdttrsb(const char *trans, const MKL_INT *n, const MKL_INT *nrhs,
             const MKL_Complex16 *dl, const MKL_Complex16 *d, const MKL_Complex16 *du,
             MKL_Complex16 *b, const MKL_INT *ldb, MKL_INT *info);

Include Files

mkl.h

Description

The ?dttrsb routine solves the following systems of linear equations with multiple right hand sides for X :

\(A * X = B\)

if trans = ‘N’ ,

\(A^T * X = B\)

if trans = ‘T’ ,

\(A^H * X = B\)

if trans = ‘C’ (for complex matrices only).

Before calling this routine, call ?dttrfb (Computes the factorization of a diagonally dominant tridiagonal matrix.) to compute the factorization of A .

Input Parameters

trans

Must be ‘N’ or ‘T’ or ‘C’ .

Indicates the form of the equations solved for \(X\) :

If trans = 'N' , then \(A * X = B\) .

If trans = 'T' , then \(A^T * X = B\) .

If trans = 'C' , then \(A^H * X = B\) .

n

The order of A ; n ≥ 0.

nrhs

The number of right-hand sides, that is, the number of columns in B ; nrhs ≥ 0.

dl , d , du , b

Arrays: dl(n -1) , d(n) , du(n -1) .

The array dl contains the (n - 1) multipliers that define the matrices \(L_1\) , \(L_2\) from the factorization of \(A\) .

The array d contains the n diagonal elements of the upper triangular matrix \(U\) from the factorization of \(A\) .

The array du contains the ( n - 1) elements of the superdiagonal of \(U\) .

b

Array of size max(1, ldb * nrhs ). Contains the matrix \(B\) whose columns are the right-hand sides for the systems of equations.

ldb

The leading dimension of b ; ldb≥ max(1, n) .

Output Parameters

b

Overwritten by the solution matrix X .

info

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Developer Reference for Intel® oneAPI Math Kernel Library for C

?dttrsb

Syntax

Include Files

Description

Input Parameters

Output Parameters