STPTRS(1) | LAPACK routine (version 3.2) | STPTRS(1) |
NAME¶
STPTRS - solves a triangular system of the form A * X = B or A**T * X = B,
SYNOPSIS¶
- SUBROUTINE STPTRS(
- UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, INFO )
CHARACTER DIAG, TRANS, UPLO INTEGER INFO, LDB, N, NRHS REAL AP( * ), B( LDB, * )
PURPOSE¶
STPTRS solves a triangular system of the form where A is a triangular matrix of order N stored in packed format, and B is an N-by-NRHS matrix. A check is made to verify that A is nonsingular.
ARGUMENTS¶
- UPLO (input) CHARACTER*1
- = 'U': A is upper triangular;
= 'L': A is lower triangular. - TRANS (input) CHARACTER*1
-
Specifies the form of the system of equations:
= 'N': A * X = B (No transpose)
= 'T': A**T * X = B (Transpose)
= 'C': A**H * X = B (Conjugate transpose = Transpose) - DIAG (input) CHARACTER*1
-
= 'N': A is non-unit triangular;
= 'U': A is unit triangular. - N (input) INTEGER
- The order of the matrix A. N >= 0.
- NRHS (input) INTEGER
- The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
- AP (input) REAL array, dimension (N*(N+1)/2)
- The upper or lower triangular matrix A, packed columnwise in a linear array. The j-th column of A is stored in the array AP as follows: if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; if UPLO = 'L', AP(i + (j-1)*(2*n-j)/2) = A(i,j) for j<=i<=n.
- B (input/output) REAL array, dimension (LDB,NRHS)
- On entry, the right hand side matrix B. On exit, if INFO = 0, the solution matrix X.
- LDB (input) INTEGER
- The leading dimension of the array B. LDB >= max(1,N).
- INFO (output) INTEGER
- = 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
> 0: if INFO = i, the i-th diagonal element of A is zero, indicating that the matrix is singular and the solutions X have not been computed.
November 2008 | LAPACK routine (version 3.2) |