Additional LAPACK Routines (Included for Compatibility with Netlib...

Developer Reference for Intel® oneAPI Math Kernel Library for C

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Date 10/15/2026

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Additional LAPACK Routines (Included for Compatibility with Netlib LAPACK)

LAPACK_DECL lapack_int LAPACKE_chesv_aa_2stage ( int matrix_layout, char uplo, lapack_int n, lapack_int nrhs, lapack_complex_float *a, lapack_int lda,
                                                 lapack_complex_float *tb, lapack_int ltb, lapack_int *ipiv, lapack_int *ipiv2, lapack_complex_float *b,
                                                 lapack_int ldb );

LAPACK_DECL lapack_int LAPACKE_dsysv_aa_2stage ( int matrix_layout, char uplo, lapack_int n, lapack_int nrhs, double *a, lapack_int lda, double *tb,
                                                 lapack_int ltb, lapack_int *ipiv, lapack_int *ipiv2, double *b, lapack_int ldb );

LAPACK_DECL lapack_int LAPACKE_ssysv_aa_2stage ( int matrix_layout, char uplo, lapack_int n, lapack_int nrhs, float *a, lapack_int lda, float *tb,
                                                 lapack_int ltb, lapack_int *ipiv, lapack_int *ipiv2, float *b, lapack_int ldb );

LAPACK_DECL lapack_int LAPACKE_zhesv_aa_2stage ( int matrix_layout, char uplo, lapack_int n, lapack_int nrhs, lapack_complex_double *a, lapack_int lda,
                                                 lapack_complex_double *tb, lapack_int ltb, lapack_int *ipiv, lapack_int *ipiv2, lapack_complex_double *b,
                                                  lapack_int ldb );

LAPACK_DECL lapack_int LAPACKE_chetrf_aa_2stage ( int matrix_layout, char uplo, lapack_int n, lapack_complex_float *a, lapack_int lda, lapack_complex_float *tb,
                                                  lapack_int ltb, lapack_int *ipiv, lapack_int *ipiv2 );

LAPACK_DECL lapack_int LAPACKE_dsytrf_aa_2stage ( int matrix_layout, char uplo, lapack_int n, double *a, lapack_int lda, double *tb, lapack_int ltb,
                                                  lapack_int *ipiv, lapack_int *ipiv2 );

LAPACK_DECL lapack_int LAPACKE_ssytrf_aa_2stage ( int matrix_layout, char uplo, lapack_int n, float *a, lapack_int lda, float *tb, lapack_int ltb,
                                                  lapack_int *ipiv, lapack_int *ipiv2 );

LAPACK_DECL lapack_int LAPACKE_zhetrf_aa_2stage ( int matrix_layout, char uplo, lapack_int n, lapack_complex_double *a, lapack_int lda, lapack_complex_double *tb,
                                                  lapack_int ltb, lapack_int *ipiv, lapack_int *ipiv2 );

LAPACK_DECL lapack_int LAPACKE_chetrs_aa_2stage ( int matrix_layout, char uplo, lapack_int n, lapack_int nrhs, lapack_complex_float *a, lapack_int lda,
                                                  lapack_complex_float *tb, lapack_int ltb, lapack_int *ipiv, lapack_int *ipiv2, lapack_complex_float *b,
                                                  lapack_int ldb );

LAPACK_DECL lapack_int LAPACKE_dsytrs_aa_2stage ( int matrix_layout, char uplo, lapack_int n, lapack_int nrhs, double *a, lapack_int lda, double *tb, lapack_int ltb,
                                                  lapack_int *ipiv, lapack_int *ipiv2, double *b, lapack_int ldb );

LAPACK_DECL lapack_int LAPACKE_ssytrs_aa_2stage ( int matrix_layout, char uplo, lapack_int n, lapack_int nrhs, float *a, lapack_int lda, float *tb, lapack_int ltb,
                                                  lapack_int *ipiv, lapack_int *ipiv2, float *b, lapack_int ldb );

LAPACK_DECL lapack_int LAPACKE_zhetrs_aa_2stage ( int matrix_layout, char uplo, lapack_int n, lapack_int nrhs, lapack_complex_double *a, lapack_int lda,
                                                  lapack_complex_double *tb, lapack_int ltb, lapack_int *ipiv, lapack_int *ipiv2, lapack_complex_double *b,
                                                  lapack_int ldb );

LAPACK_DECL lapack_int LAPACKE_csysv_aa_2stage ( int matrix_layout, char uplo, lapack_int n, lapack_int nrhs, lapack_complex_float *a, lapack_int lda,
                                                 lapack_complex_float *tb, lapack_int ltb, lapack_int *ipiv, lapack_int *ipiv2, lapack_complex_float *b,
                                                 lapack_int ldb );

LAPACK_DECL lapack_int LAPACKE_zsysv_aa_2stage ( int matrix_layout, char uplo, lapack_int n, lapack_int nrhs, lapack_complex_double *a, lapack_int lda,
                                                 lapack_complex_double *tb, lapack_int ltb, lapack_int *ipiv, lapack_int *ipiv2, lapack_complex_double *b,
                                                 lapack_int ldb );

LAPACK_DECL lapack_int LAPACKE_csytrf_aa_2stage ( int matrix_layout, char uplo, lapack_int n, lapack_complex_float *a, lapack_int lda, lapack_complex_float *tb,
                                                  lapack_int ltb, lapack_int *ipiv, lapack_int *ipiv2 );

LAPACK_DECL lapack_int LAPACKE_zsytrf_aa_2stage ( int matrix_layout, char uplo, lapack_int n, lapack_complex_double *a, lapack_int lda, lapack_complex_double *tb,
                                                  lapack_int ltb, lapack_int *ipiv, lapack_int *ipiv2 );

LAPACK_DECL lapack_int LAPACKE_csytrs_aa_2stage ( int matrix_layout, char uplo, lapack_int n, lapack_int nrhs, lapack_complex_float *a, lapack_int lda,
                                                  lapack_complex_float *tb, lapack_int ltb, lapack_int *ipiv, lapack_int *ipiv2, lapack_complex_float *b,
                                                  lapack_int ldb );

LAPACK_DECL lapack_int LAPACKE_zsytrs_aa_2stage ( int matrix_layout, char uplo, lapack_int n, lapack_int nrhs, lapack_complex_double *a, lapack_int lda,
                                                  lapack_complex_double *tb, lapack_int ltb, lapack_int *ipiv, lapack_int *ipiv2, lapack_complex_double *b,
                                                  lapack_int ldb );

LAPACK_DECL lapack_int LAPACKE_ssyev_2stage ( int matrix_layout, char jobz, char uplo, lapack_int n, float *a, lapack_int lda, float *w );

LAPACK_DECL lapack_int LAPACKE_dsyev_2stage ( int matrix_layout, char jobz, char uplo, lapack_int n, double *a, lapack_int lda, double *w );

LAPACK_DECL lapack_int LAPACKE_ssyevd_2stage ( int matrix_layout, char jobz, char uplo, lapack_int n, float *a, lapack_int lda, float *w );

LAPACK_DECL lapack_int LAPACKE_dsyevd_2stage ( int matrix_layout, char jobz, char uplo, lapack_int n, double *a, lapack_int lda, double *w );

LAPACK_DECL lapack_int LAPACKE_ssyevx_2stage ( int matrix_layout, char jobz, char range, char uplo, lapack_int n, float *a, lapack_int lda,
                                               float vl, float vu, lapack_int il, lapack_int iu, float abstol, lapack_int *m, float *w, float *z,
                                               lapack_int ldz, lapack_int *ifail );

LAPACK_DECL lapack_int LAPACKE_dsyevx_2stage ( int matrix_layout, char jobz, char range, char uplo, lapack_int n, double *a, lapack_int lda,
                                               double vl, double vu, lapack_int il, lapack_int iu, double abstol, lapack_int *m, double *w, double *z,
                                               lapack_int ldz, lapack_int *ifail );

LAPACK_DECL lapack_int LAPACKE_ssygv_2stage ( int matrix_layout, lapack_int itype, char jobz, char uplo, lapack_int n, float *a, lapack_int lda,
                                              float *b, lapack_int ldb, float *w );

LAPACK_DECL lapack_int LAPACKE_dsygv_2stage ( int matrix_layout, lapack_int itype, char jobz, char uplo, lapack_int n, double *a, lapack_int lda,
                                              double *b, lapack_int ldb, double *w );

LAPACK_DECL lapack_int LAPACKE_cheev_2stage ( int matrix_layout, char jobz, char uplo, lapack_int n, lapack_complex_float *a, lapack_int lda, float *w );

LAPACK_DECL lapack_int LAPACKE_zheev_2stage ( int matrix_layout, char jobz, char uplo, lapack_int n, lapack_complex_double *a, lapack_int lda, double *w );

LAPACK_DECL lapack_int LAPACKE_cheevd_2stage ( int matrix_layout, char jobz, char uplo, lapack_int n, lapack_complex_float *a, lapack_int lda, float *w );

LAPACK_DECL lapack_int LAPACKE_zheevd_2stage ( int matrix_layout, char jobz, char uplo, lapack_int n, lapack_complex_double *a, lapack_int lda, double *w );

LAPACK_DECL lapack_int LAPACKE_cheevr_2stage ( int matrix_layout, char jobz, char range, char uplo, lapack_int n, lapack_complex_float *a, lapack_int lda,
                                               float vl, float vu, lapack_int il, lapack_int iu, float abstol, lapack_int *m, float *w, lapack_complex_float *z,
                                               lapack_int ldz, lapack_int *isuppz );

LAPACK_DECL lapack_int LAPACKE_zheevr_2stage ( int matrix_layout, char jobz, char range, char uplo, lapack_int n, lapack_complex_double *a, lapack_int lda,
                                               double vl, double vu, lapack_int il, lapack_int iu, double abstol, lapack_int *m, double *w, lapack_complex_double *z,
                                               lapack_int ldz, lapack_int *isuppz );

LAPACK_DECL lapack_int LAPACKE_cheevx_2stage ( int matrix_layout, char jobz, char range, char uplo, lapack_int n, lapack_complex_float *a, lapack_int lda, float vl,
                                               float vu, lapack_int il, lapack_int iu, float abstol, lapack_int *m, float *w, lapack_complex_float *z,
                                               lapack_int ldz, lapack_int *ifail );

LAPACK_DECL lapack_int LAPACKE_zheevx_2stage ( int matrix_layout, char jobz, char range, char uplo, lapack_int n, lapack_complex_double *a, lapack_int lda, double vl,
                                               double vu, lapack_int il, lapack_int iu, double abstol, lapack_int *m, double *w, lapack_complex_double *z,
                                               lapack_int ldz, lapack_int *ifail );

LAPACK_DECL lapack_int LAPACKE_chegv_2stage ( int matrix_layout, lapack_int itype, char jobz, char uplo, lapack_int n, lapack_complex_float *a, lapack_int lda,
                                              lapack_complex_float *b, lapack_int ldb, float *w );

LAPACK_DECL lapack_int LAPACKE_zhegv_2stage ( int matrix_layout, lapack_int itype, char jobz, char uplo, lapack_int n, lapack_complex_double *a, lapack_int lda,
                                              lapack_complex_double *b, lapack_int ldb, double *w );

LAPACK_DECL lapack_int LAPACKE_ssbev_2stage ( int matrix_layout, char *jobz, char *uplo, lapack_int *n, lapack_int *kd, float *ab, lapack_int *ldab,
                                              float *w, float *z, lapack_int *ldz );

LAPACK_DECL lapack_int LAPACKE_dsbev_2stage ( int matrix_layout, char *jobz, char *uplo, lapack_int *n, lapack_int *kd, double *ab, lapack_int *ldab,
                                              double *w, double *z, lapack_int *ldz );

LAPACK_DECL lapack_int LAPACKE_ssbevd_2stage ( int matrix_layout, char *jobz, char *uplo, lapack_int *n, lapack_int *kd, float *ab, lapack_int *ldab,
                                               float *w, float *z, lapack_int *ldz );

LAPACK_DECL lapack_int LAPACKE_dsbevd_2stage ( int matrix_layout, char *jobz, char *uplo, lapack_int *n, lapack_int *kd, double *ab, lapack_int *ldab,
                                              double *w, double *z, lapack_int *ldz );

LAPACK_DECL lapack_int LAPACKE_ssbevx_2stage ( int matrix_layout, char *jobz, char *range, char *uplo, lapack_int *n, lapack_int *kd, float *ab, lapack_int *ldab,
                                               float *q, lapack_int *ldq, float vl, float vu, lapack_int il, lapack_int iu, float abstol, lapack_int *m,
                                               float *w, float *z, lapack_int *ldz, lapack_int *ifail );

LAPACK_DECL lapack_int LAPACKE_dsbevx_2stage ( int matrix_layout, char *jobz, char *range, char *uplo, lapack_int *n, lapack_int *kd, double *ab, lapack_int *ldab,
                                               double *q, lapack_int *ldq, double vl, double vu, lapack_int il, lapack_int iu, double abstol, lapack_int *m,
                                               double *w, double *z, lapack_int *ldz, lapack_int *ifail );

LAPACK_DECL lapack_int LAPACKE_chbev_2stage ( int matrix_layout, char *jobz, char *uplo, lapack_int *n, lapack_int *kd, lapack_complex_float *ab, lapack_int *ldab,
                                              float *w, lapack_complex_float *z, lapack_int *ldz );

LAPACK_DECL lapack_int LAPACKE_zhbev_2stage ( int matrix_layout, char *jobz, char *uplo, lapack_int *n, lapack_int *kd, lapack_complex_double *ab, lapack_int *ldab,
                                              double *w, lapack_complex_double *z, lapack_int *ldz );

LAPACK_DECL lapack_int LAPACKE_chbevd_2stage ( int matrix_layout, char *jobz , char *uplo, lapack_int *n, lapack_int *kd, lapack_complex_float *ab, lapack_int *ldab,
                                               float *w, lapack_complex_float *z, lapack_int *ldz );

LAPACK_DECL lapack_int LAPACKE_zhbevd_2stage ( int matrix_layout, char *jobz , char *uplo , lapack_int *n , lapack_int *kd , lapack_complex_double * ab , lapack_int *ldab ,
                                               double *w, lapack_complex_double *z, lapack_int *ldz );

LAPACK_DECL lapack_int LAPACKE_chbevx_2stage ( int matrix_layout, char *jobz, char *range, char *uplo, lapack_int *n, lapack_int *kd, lapack_complex_float *ab,
                                               lapack_int *ldab, lapack_complex_float *q, lapack_int *ldq, float vl, float vu, lapack_int il, lapack_int iu, float abstol,
                                               lapack_int *m, float *w, lapack_complex_float *z, lapack_int *ldz, lapack_int *ifail );

LAPACK_DECL lapack_int LAPACKE_zhbevx_2stage ( int matrix_layout, char *jobz, char *range, char *uplo, lapack_int *n, lapack_int *kd, lapack_complex_double *ab,
                                               lapack_int *ldab, lapack_complex_double *q, lapack_int *ldq, double vl, double vu, lapack_int il, lapack_int iu, double abstol,
                                               lapack_int *m, double *w, lapack_complex_double *z, lapack_int *ldz, lapack_int *ifail );

LAPACK_DECL lapack_int LAPACKE_sgedmd( int matrix_layout, char jobs, char jobz, char jobr, char jobf, lapack_int whtsvd, lapack_int m, lapack_int n,
                                       float* x, lapack_int ldx, float* y, lapack_int ldy, lapack_int nrnk, float* tol, lapack_int k, float* reig,
                                       float* imeig, float* z, lapack_int ldz, float* res, float* b, lapack_int ldb, float* w, lapack_int ldw, float* s,
                                       lapack_int lds);

LAPACK_DECL lapack_int LAPACKE_dgedmd( int matrix_layout, char jobs, char jobz, char jobr, char jobf, lapack_int whtsvd, lapack_int m, lapack_int n,
                                       double* x, lapack_int ldx, double* y, lapack_int ldy, lapack_int nrnk, double* tol, lapack_int k, double* reig,
                                       double* imeig, double* z, lapack_int ldz, double* res, double* b, lapack_int ldb, double* w, lapack_int ldw, double* s,
                                       lapack_int lds);

LAPACK_DECL lapack_int LAPACKE_cgedmd( int matrix_layout, char jobs, char jobz, char jobr, char jobf, lapack_int whtsvd, lapack_int m, lapack_int n,
                                       lapack_complex_float* x, lapack_int ldx, lapack_complex_float* y, lapack_int ldy, lapack_int nrnk, float* tol,
                                       lapack_int k, lapack_complex_float* eigs, lapack_complex_float* z, lapack_int ldz, float* res, lapack_complex_float* b,
                                       lapack_int ldb, lapack_complex_float* w, lapack_int ldw, lapack_complex_float* s, lapack_int lds);

LAPACK_DECL lapack_int LAPACKE_zgedmd( int matrix_layout, char jobs, char jobz, char jobr, char jobf, lapack_int whtsvd, lapack_int m, lapack_int n,
                                       lapack_complex_double* x, lapack_int ldx, lapack_complex_double* y, lapack_int ldy, lapack_int nrnk, double *tol,
                                       lapack_int k, lapack_complex_double* eigs, lapack_complex_double* z, lapack_int ldz, double* res, lapack_complex_double* b,
                                       lapack_int ldb, lapack_complex_double* zw, lapack_int lzw, lapack_complex_double* w, lapack_int ldw, lapack_complex_double* s,
                                       lapack_int lds);

LAPACK_DECL lapack_int LAPACKE_sgedmdq( int matrix_layout, char jobs, char jobz, char jobr, char jobq, char jobt, char jobf, lapack_int whtsvd, lapack_int m, lapack_int n,
                                        float* f, lapack_int ldf, float* x, lapack_int ldx, float* y, lapack_int ldy, lapack_int nrnk, float* tol, lapack_int k, float* reig,
                                        float* imeig, float* z, lapack_int ldz, float* res, float* b, lapack_int ldb, float* v, lapack_int ldv, float* s, lapack_int lds);

LAPACK_DECL lapack_int LAPACKE_dgedmdq( int matrix_layout, char jobs, char jobz, char jobr, char jobq, char jobt, char jobf, lapack_int whtsvd, lapack_int m, lapack_int n,
                                        double* f, lapack_int ldf, double* x, lapack_int ldx, double* y, lapack_int ldy, lapack_int nrnk, double* tol, lapack_int k, double* reig,
                                        double* imeig, double* z, lapack_int ldz, double* res, double* b, lapack_int ldb, double* v, lapack_int ldv, double* s, lapack_int lds);

LAPACK_DECL lapack_int LAPACKE_cgedmdq( int matrix_layout, char jobs, char jobz, char jobr, char jobq, char jobt, char jobf, lapack_int whtsvd, lapack_int m, lapack_int n,
                                        lapack_complex_float* f, lapack_int ldf, lapack_complex_float* x, lapack_int ldx, lapack_complex_float* y, lapack_int ldy, lapack_int nrnk,
                                        float* tol, lapack_int k, lapack_complex_float* eigs, lapack_complex_float* z, lapack_int ldz, float* res, lapack_complex_float* b,
                                        lapack_int ldb, lapack_complex_float* v, lapack_int ldv, lapack_complex_float* s, lapack_int lds);

LAPACK_DECL lapack_int LAPACKE_zgedmdq( int matrix_layout, char jobs, char jobz, char jobr, char jobq, char jobt, char jobf, lapack_int whtsvd, lapack_int m, lapack_int n,
                                        lapack_complex_double* f, lapack_int ldf, lapack_complex_double* x, lapack_int ldx, lapack_complex_double* y, lapack_int ldy, lapack_int nrnk,
                                        double* tol, lapack_int k, lapack_complex_double* eigs, lapack_complex_double* z, lapack_int ldz, double* res, lapack_complex_double* b,
                                        lapack_int ldb, lapack_complex_double* v, lapack_int ldv, lapack_complex_double* s, lapack_int lds);

For descriptions of these functions, see https://www.netlib.org/lapack/explore-html/files.html .

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Developer Reference for Intel® oneAPI Math Kernel Library for C

Additional LAPACK Routines (Included for Compatibility with Netlib LAPACK)