# sgtts2.f(3) [centos man page]

```sgtts2.f(3)							      LAPACK							       sgtts2.f(3)

NAME
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 (integerITRANS, integerN, integerNRHS, real, dimension( * )DL, real, dimension( * )D, real, dimension( * )DU, real,
dimension( * )DU2, integer, dimension( * )IPIV, real, dimension( ldb, * )B, integerLDB)
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.

Date:
September 2012

Definition at line 129 of file sgtts2.f.

Author
Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       sgtts2.f(3)```

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```cgtts2.f(3)							      LAPACK							       cgtts2.f(3)

NAME
cgtts2.f -

SYNOPSIS
Functions/Subroutines
subroutine cgtts2 (ITRANS, N, NRHS, DL, D, DU, DU2, IPIV, B, LDB)
CGTTS2 solves a system of linear equations with a tridiagonal matrix using the LU factorization computed by sgttrf.

Function/Subroutine Documentation
subroutine cgtts2 (integerITRANS, integerN, integerNRHS, complex, dimension( * )DL, complex, dimension( * )D, complex, dimension( * )DU,
complex, dimension( * )DU2, integer, dimension( * )IPIV, complex, dimension( ldb, * )B, integerLDB)
CGTTS2 solves a system of linear equations with a tridiagonal matrix using the LU factorization computed by sgttrf.

Purpose:

CGTTS2 solves one of the systems of equations
A * X = B,  A**T * X = B,  or  A**H * X = B,
with a tridiagonal matrix A using the LU factorization computed
by CGTTRF.

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**H * X = B  (Conjugate 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 COMPLEX array, dimension (N-1)
The (n-1) multipliers that define the matrix L from the
LU factorization of A.

D

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

DU

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

DU2

DU2 is COMPLEX 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 COMPLEX 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.

Date:
September 2012

Definition at line 129 of file cgtts2.f.

Author
Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       cgtts2.f(3)```
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