sposv - compute the solution to a real system of linear equations A*X = B, where A is an N-by-N symmetric positive definite matrix and X and B are N-by-NRHS matrices
SUBROUTINE SPOSV(UPLO, N, NRHS, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO INTEGER N, NRHS, LDA, LDB, INFO REAL A(LDA,*), B(LDB,*) SUBROUTINE SPOSV_64(UPLO, N, NRHS, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO INTEGER*8 N, NRHS, LDA, LDB, INFO REAL A(LDA,*), B(LDB,*) F95 INTERFACE SUBROUTINE POSV(UPLO, N, NRHS, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO INTEGER :: N, NRHS, LDA, LDB, INFO REAL, DIMENSION(:,:) :: A, B SUBROUTINE POSV_64(UPLO, N, NRHS, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO INTEGER(8) :: N, NRHS, LDA, LDB, INFO REAL, DIMENSION(:,:) :: A, B C INTERFACE #include <sunperf.h> void sposv(char uplo, int n, int nrhs, float *a, int lda, float *b, int ldb, int *info); void sposv_64(char uplo, long n, long nrhs, float *a, long lda, float *b, long ldb, long *info);
Oracle Solaris Studio Performance Library sposv(3P) NAME sposv - compute the solution to a real system of linear equations A*X = B, where A is an N-by-N symmetric positive definite matrix and X and B are N-by-NRHS matrices SYNOPSIS SUBROUTINE SPOSV(UPLO, N, NRHS, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO INTEGER N, NRHS, LDA, LDB, INFO REAL A(LDA,*), B(LDB,*) SUBROUTINE SPOSV_64(UPLO, N, NRHS, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO INTEGER*8 N, NRHS, LDA, LDB, INFO REAL A(LDA,*), B(LDB,*) F95 INTERFACE SUBROUTINE POSV(UPLO, N, NRHS, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO INTEGER :: N, NRHS, LDA, LDB, INFO REAL, DIMENSION(:,:) :: A, B SUBROUTINE POSV_64(UPLO, N, NRHS, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO INTEGER(8) :: N, NRHS, LDA, LDB, INFO REAL, DIMENSION(:,:) :: A, B C INTERFACE #include <sunperf.h> void sposv(char uplo, int n, int nrhs, float *a, int lda, float *b, int ldb, int *info); void sposv_64(char uplo, long n, long nrhs, float *a, long lda, float *b, long ldb, long *info); PURPOSE sposv computes the solution to a real system of linear equations A * X = B, where A is an N-by-N symmetric positive definite matrix and X and B are N-by-NRHS matrices. The Cholesky decomposition is used to factor A as A = U**T* U, if UPLO = 'U', or A = L * L**T, if UPLO = 'L', where U is an upper triangular matrix and L is a lower triangular matrix. The factored form of A is then used to solve the system of equations A * X = B. ARGUMENTS UPLO (input) = 'U': Upper triangle of A is stored; = 'L': Lower triangle of A is stored. N (input) The number of linear equations, i.e., the order of the matrix A. N >= 0. NRHS (input) The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0. A (input/output) On entry, the symmetric matrix A. If UPLO = 'U', the leading N-by-N upper triangular part of A contains the upper triangu- lar part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading N- by-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, if INFO = 0, the factor U or L from the Cholesky factorization A = U**T*U or A = L*L**T. LDA (input) The leading dimension of the array A. LDA >= max(1,N). B (input/output) On entry, the N-by-NRHS right hand side matrix B. On exit, if INFO = 0, the N-by-NRHS solution matrix X. LDB (input) The leading dimension of the array B. LDB >= max(1,N). INFO (output) = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, the leading minor of order i of A is not positive definite, so the factorization could not be com- pleted, and the solution has not been computed. 7 Nov 2015 sposv(3P)