# cgtts2.f

Section: LAPACK (3)
Updated: Tue Nov 14 2017
Page Index

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 (integer ITRANS, integer N, integer NRHS, complex, dimension( * ) DL, complex, dimension( * ) D, complex, dimension( * ) DU, complex, dimension( * ) DU2, integer, dimension( * ) IPIV, complex, dimension( ldb, * ) B, integer LDB)

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