?dttrsb

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 4/28/2026

Version

Public

?dttrsb

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

Syntax

voidsdttrsb ( constchar*trans , constMKL_INT*n , constMKL_INT*nrhs , constfloat*dl , constfloat*d , constfloat*du , float*b , constMKL_INT*ldb , MKL_INT*info );

voidddttrsb ( constchar*trans , constMKL_INT*n , constMKL_INT*nrhs , constdouble*dl , constdouble*d , constdouble*du , double*b , constMKL_INT*ldb , MKL_INT*info );

voidcdttrsb ( constchar*trans , constMKL_INT*n , constMKL_INT*nrhs , constMKL_Complex8*dl , constMKL_Complex8*d , constMKL_Complex8*du , MKL_Complex8*b , constMKL_INT*ldb , MKL_INT*info );

voidzdttrsb ( constchar*trans , constMKL_INT*n , constMKL_INT*nrhs , constMKL_Complex16*dl , constMKL_Complex16*d , constMKL_Complex16*du , MKL_Complex16*b , constMKL_INT*ldb , MKL_INT*info );

Include Files

mkl.h

Description

sdttrsb ddttrsb cdttrsb zdttrsb

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

A * X = B

if trans = ‘N’ ,

A^:code:`T` * X = B

if trans = ‘T’ ,

A^:code:`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^:code:`T` * X = B .

If trans = 'C' , then A^:code:`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 L₁ , L₂ 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 .

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Developer Reference for Intel® oneAPI Math Kernel Library for C

?dttrsb

Syntax

Include Files

Description

Input Parameters

Output Parameters