FunctionName Mark ofIntroduction Purpose f03aec Example Text Example Data 1 nag_real_cholesky $L{L}^{\mathrm{T}}$ factorization and determinant of real symmetric positive definite matrixNote: this function is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Functions for further information. f03afc Example Text Example Data 1 nag_real_lu $LU$ factorization and determinant of real matrixNote: this function is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Functions for further information. f03ahc Example Text Example Data 1 nag_complex_lu $LU$ factorization and determinant of complex matrixNote: this function is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Functions for further information. f03bac Example Text Example Data 23 nag_det_real_gen Determinant of real matrix, matrix previously $LU$ factorized f03bfc Example Text Example Data 23 nag_det_real_sym Determinant of real symmetric positive definite matrix previously $L{L}^{\mathrm{T}}$ factorized f03bhc Example Text Example Data 23 nag_det_real_band_sym Determinant of real symmetric positive definite banded matrix previously factorized by nag_dpbtrf (f07hdc) f03bnc Example Text Example Data 23 nag_det_complex_gen Determinant of complex matrix previously $LU$ factorized