# sgtts2.f - Man Page

SRC/sgtts2.f

## Synopsis

### Functions/Subroutines

subroutine **sgtts2** (itrans, n, nrhs, dl, d, du, du2, ipiv, b, ldb)**SGTTS2** solves a system of linear equations with a tridiagonal matrix using the LU factorization computed by sgttrf.

## Function/Subroutine Documentation

### subroutine sgtts2 (integer itrans, integer n, integer nrhs, real, dimension( * ) dl, real, dimension( * ) d, real, dimension( * ) du, real, dimension( * ) du2, integer, dimension( * ) ipiv, real, dimension( ldb, * ) b, integer ldb)

**SGTTS2** solves a system of linear equations with a tridiagonal matrix using the LU factorization computed by sgttrf.

**Purpose:**

SGTTS2 solves one of the systems of equations A*X = B or A**T*X = B, with a tridiagonal matrix A using the LU factorization computed by SGTTRF.

**Parameters***ITRANS*ITRANS is INTEGER Specifies the form of the system of equations. = 0: A * X = B (No transpose) = 1: A**T* X = B (Transpose) = 2: A**T* X = B (Conjugate transpose = Transpose)

*N*N is INTEGER The order of the matrix A.

*NRHS*NRHS is INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.

*DL*DL is REAL array, dimension (N-1) The (n-1) multipliers that define the matrix L from the LU factorization of A.

*D*D is REAL array, dimension (N) The n diagonal elements of the upper triangular matrix U from the LU factorization of A.

*DU*DU is REAL array, dimension (N-1) The (n-1) elements of the first super-diagonal of U.

*DU2*DU2 is REAL array, dimension (N-2) The (n-2) elements of the second super-diagonal of U.

*IPIV*IPIV is INTEGER array, dimension (N) The pivot indices; for 1 <= i <= n, row i of the matrix was interchanged with row IPIV(i). IPIV(i) will always be either i or i+1; IPIV(i) = i indicates a row interchange was not required.

*B*B is REAL array, dimension (LDB,NRHS) On entry, the matrix of right hand side vectors B. On exit, B is overwritten by the solution vectors X.

*LDB*LDB is INTEGER The leading dimension of the array B. LDB >= max(1,N).

**Author**Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line **127** of file **sgtts2.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page sgtts2(3) is an alias of sgtts2.f(3).

Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK