chegs2 - definite generalized eigenproblem to standard form
SUBROUTINE CHEGS2(ITYPE, UPLO, N, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO COMPLEX A(LDA,*), B(LDB,*) INTEGER ITYPE, N, LDA, LDB, INFO SUBROUTINE CHEGS2_64(ITYPE, UPLO, N, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO COMPLEX A(LDA,*), B(LDB,*) INTEGER*8 ITYPE, N, LDA, LDB, INFO F95 INTERFACE SUBROUTINE HEGS2(ITYPE, UPLO, N, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX, DIMENSION(:,:) :: A, B INTEGER :: ITYPE, N, LDA, LDB, INFO SUBROUTINE HEGS2_64(ITYPE, UPLO, N, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX, DIMENSION(:,:) :: A, B INTEGER(8) :: ITYPE, N, LDA, LDB, INFO C INTERFACE #include <sunperf.h> void chegs2(int itype, char uplo, int n, complex *a, int lda, complex *b, int ldb, int *info); void chegs2_64(long itype, char uplo, long n, complex *a, long lda, complex *b, long ldb, long *info);
Oracle Solaris Studio Performance Library chegs2(3P) NAME chegs2 - reduce a complex Hermitian-definite generalized eigenproblem to standard form SYNOPSIS SUBROUTINE CHEGS2(ITYPE, UPLO, N, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO COMPLEX A(LDA,*), B(LDB,*) INTEGER ITYPE, N, LDA, LDB, INFO SUBROUTINE CHEGS2_64(ITYPE, UPLO, N, A, LDA, B, LDB, INFO) CHARACTER*1 UPLO COMPLEX A(LDA,*), B(LDB,*) INTEGER*8 ITYPE, N, LDA, LDB, INFO F95 INTERFACE SUBROUTINE HEGS2(ITYPE, UPLO, N, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX, DIMENSION(:,:) :: A, B INTEGER :: ITYPE, N, LDA, LDB, INFO SUBROUTINE HEGS2_64(ITYPE, UPLO, N, A, LDA, B, LDB, INFO) CHARACTER(LEN=1) :: UPLO COMPLEX, DIMENSION(:,:) :: A, B INTEGER(8) :: ITYPE, N, LDA, LDB, INFO C INTERFACE #include <sunperf.h> void chegs2(int itype, char uplo, int n, complex *a, int lda, complex *b, int ldb, int *info); void chegs2_64(long itype, char uplo, long n, complex *a, long lda, complex *b, long ldb, long *info); PURPOSE chegs2 reduces a complex Hermitian-definite generalized eigenproblem to standard form. If ITYPE = 1, the problem is A*x = lambda*B*x, and A is overwritten by inv(U')*A*inv(U) or inv(L)*A*inv(L') If ITYPE = 2 or 3, the problem is A*B*x = lambda*x or B*A*x = lambda*x, and A is overwritten by U*A*U` or L'*A*L. B must have been previously factorized as U'*U or L*L' by CPOTRF. ARGUMENTS ITYPE (input) = 1: compute inv(U')*A*inv(U) or inv(L)*A*inv(L'); = 2 or 3: compute U*A*U' or L'*A*L. UPLO (input) Specifies whether the upper or lower triangular part of the Hermitian matrix A is stored, and how B has been factorized. = 'U': Upper triangular = 'L': Lower triangular N (input) The order of the matrices A and B. N >= 0. A (input/output) On entry, the Hermitian 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 transformed matrix, stored in the same format as A. LDA (input) The leading dimension of the array A. LDA >= max(1,N). B (input) The triangular factor from the Cholesky factorization of B, as returned by CPOTRF. 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 chegs2(3P)