.TH "sgttrs.f" 3 "Wed Oct 15 2014" "Version 3.4.2" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME sgttrs.f \- .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBsgttrs\fP (TRANS, N, NRHS, DL, D, DU, DU2, IPIV, B, LDB, INFO)" .br .RI "\fI\fBSGTTRS\fP \fP" .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine sgttrs (characterTRANS, integerN, integerNRHS, real, dimension( * )DL, real, dimension( * )D, real, dimension( * )DU, real, dimension( * )DU2, integer, dimension( * )IPIV, real, dimension( ldb, * )B, integerLDB, integerINFO)" .PP \fBSGTTRS\fP .PP \fBPurpose: \fP .RS 4 .PP .nf SGTTRS 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. .fi .PP .RE .PP \fBParameters:\fP .RS 4 \fITRANS\fP .PP .nf TRANS is CHARACTER*1 Specifies the form of the system of equations. = 'N': A * X = B (No transpose) = 'T': A**T* X = B (Transpose) = 'C': A**T* X = B (Conjugate transpose = Transpose) .fi .PP .br \fIN\fP .PP .nf N is INTEGER The order of the matrix A. .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 REAL array, dimension (N-1) The (n-1) multipliers that define the matrix L from the LU factorization of A. .fi .PP .br \fID\fP .PP .nf D is REAL array, dimension (N) The n diagonal elements of the upper triangular matrix U from the LU factorization of A. .fi .PP .br \fIDU\fP .PP .nf DU is REAL array, dimension (N-1) The (n-1) elements of the first super-diagonal of U. .fi .PP .br \fIDU2\fP .PP .nf DU2 is REAL array, dimension (N-2) The (n-2) elements of the second super-diagonal of U. .fi .PP .br \fIIPIV\fP .PP .nf 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. .fi .PP .br \fIB\fP .PP .nf 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. .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 .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 \fBDate:\fP .RS 4 September 2012 .RE .PP .PP Definition at line 138 of file sgttrs\&.f\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.