cpbtrs - solve a system of linear equations A*X = B with a Hermitian positive definite band matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by CPBTRF
SUBROUTINE CPBTRS(UPLO, N, KD, NRHS, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO COMPLEX A(LDA,*), B(LDB,*) INTEGER N, KD, NRHS, LDA, LDB, INFO SUBROUTINE CPBTRS_64(UPLO, N, KD, NRHS, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO COMPLEX A(LDA,*), B(LDB,*) INTEGER*8 N, KD, NRHS, LDA, LDB, INFO F95 INTERFACE SUBROUTINE PBTRS(UPLO, N, KD, NRHS, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX, DIMENSION(:,:) :: A, B INTEGER :: N, KD, NRHS, LDA, LDB, INFO SUBROUTINE PBTRS_64(UPLO, N, KD, NRHS, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX, DIMENSION(:,:) :: A, B INTEGER(8) :: N, KD, NRHS, LDA, LDB, INFO C INTERFACE #include <sunperf.h> void cpbtrs(char uplo, int n, int kd, int nrhs, complex *a, int lda, complex *b, int ldb, int *info); void cpbtrs_64(char uplo, long n, long kd, long nrhs, complex *a, long lda, complex *b, long ldb, long *info);
Oracle Solaris Studio Performance Library cpbtrs(3P) NAME cpbtrs - solve a system of linear equations A*X = B with a Hermitian positive definite band matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by CPBTRF SYNOPSIS SUBROUTINE CPBTRS(UPLO, N, KD, NRHS, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO COMPLEX A(LDA,*), B(LDB,*) INTEGER N, KD, NRHS, LDA, LDB, INFO SUBROUTINE CPBTRS_64(UPLO, N, KD, NRHS, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO COMPLEX A(LDA,*), B(LDB,*) INTEGER*8 N, KD, NRHS, LDA, LDB, INFO F95 INTERFACE SUBROUTINE PBTRS(UPLO, N, KD, NRHS, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX, DIMENSION(:,:) :: A, B INTEGER :: N, KD, NRHS, LDA, LDB, INFO SUBROUTINE PBTRS_64(UPLO, N, KD, NRHS, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX, DIMENSION(:,:) :: A, B INTEGER(8) :: N, KD, NRHS, LDA, LDB, INFO C INTERFACE #include <sunperf.h> void cpbtrs(char uplo, int n, int kd, int nrhs, complex *a, int lda, complex *b, int ldb, int *info); void cpbtrs_64(char uplo, long n, long kd, long nrhs, complex *a, long lda, complex *b, long ldb, long *info); PURPOSE cpbtrs solves a system of linear equations A*X = B with a Hermitian positive definite band matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by CPBTRF. ARGUMENTS UPLO (input) = 'U': Upper triangular factor stored in A; = 'L': Lower triangular factor stored in A. N (input) The order of the matrix A. N >= 0. KD (input) The number of superdiagonals of the matrix A if UPLO = 'U', or the number of subdiagonals if UPLO = 'L'. KD >= 0. NRHS (input) The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0. A (input) The triangular factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H of the band matrix A, stored in the first KD+1 rows of the array. The j-th column of U or L is stored in the j-th column of the array A as follows: if UPLO ='U', A(kd+1+i-j,j) = U(i,j) for max(1,j-kd)<=i<=j; if UPLO ='L', A(1+i-j,j) = L(i,j) for j<=i<=min(n,j+kd). LDA (input) The leading dimension of the array A. LDA >= KD+1. B (input/output) On entry, the right hand side matrix B. On exit, the solu- tion 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 7 Nov 2015 cpbtrs(3P)