.TH "SRC/cgtsv.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME SRC/cgtsv.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBcgtsv\fP (n, nrhs, dl, d, du, b, ldb, info)" .br .RI "\fB CGTSV computes the solution to system of linear equations A * X = B for GT matrices \fP " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine cgtsv (integer n, integer nrhs, complex, dimension( * ) dl, complex, dimension( * ) d, complex, dimension( * ) du, complex, dimension( ldb, * ) b, integer ldb, integer info)" .PP \fB CGTSV computes the solution to system of linear equations A * X = B for GT matrices \fP .PP \fBPurpose:\fP .RS 4 .PP .nf CGTSV solves the equation A*X = B, where A is an N-by-N tridiagonal matrix, by Gaussian elimination with partial pivoting\&. Note that the equation A**T *X = B may be solved by interchanging the order of the arguments DU and DL\&. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIN\fP .PP .nf N is INTEGER The order of the matrix A\&. N >= 0\&. .fi .PP .br \fINRHS\fP .PP .nf NRHS is INTEGER The number of right hand sides, i\&.e\&., the number of columns of the matrix B\&. NRHS >= 0\&. .fi .PP .br \fIDL\fP .PP .nf DL is COMPLEX array, dimension (N-1) On entry, DL must contain the (n-1) subdiagonal elements of A\&. On exit, DL is overwritten by the (n-2) elements of the second superdiagonal of the upper triangular matrix U from the LU factorization of A, in DL(1), \&.\&.\&., DL(n-2)\&. .fi .PP .br \fID\fP .PP .nf D is COMPLEX array, dimension (N) On entry, D must contain the diagonal elements of A\&. On exit, D is overwritten by the n diagonal elements of U\&. .fi .PP .br \fIDU\fP .PP .nf DU is COMPLEX array, dimension (N-1) On entry, DU must contain the (n-1) superdiagonal elements of A\&. On exit, DU is overwritten by the (n-1) elements of the first superdiagonal of U\&. .fi .PP .br \fIB\fP .PP .nf B is COMPLEX array, dimension (LDB,NRHS) On entry, the N-by-NRHS right hand side matrix B\&. On exit, if INFO = 0, the N-by-NRHS solution matrix X\&. .fi .PP .br \fILDB\fP .PP .nf LDB is INTEGER The leading dimension of the array B\&. LDB >= max(1,N)\&. .fi .PP .br \fIINFO\fP .PP .nf INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, U(i,i) is exactly zero, and the solution has not been computed\&. The factorization has not been completed unless i = N\&. .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP .PP Definition at line \fB123\fP of file \fBcgtsv\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.