| F04MEF
| Update solution of the Yule–Walker equations for real symmetric positive definite Toeplitz matrix |
| F04MFF
| Update solution of real symmetric positive definite Toeplitz system |
| F06FJF
| Update Euclidean norm of real vector in scaled form |
| F06KJF
| Update Euclidean norm of complex vector in scaled form |
| F06PMF
| Rank-1 update, real rectangular matrix |
| F06PPF
| Rank-1 update, real symmetric matrix |
| F06PQF
| Rank-1 update, real symmetric packed matrix |
| F06PRF
| Rank-2 update, real symmetric matrix |
| F06PSF
| Rank-2 update, real symmetric packed matrix |
| F06QPF
| factorization by sequence of plane rotations, rank-1 update of real upper triangular matrix |
| F06SMF
| Rank-1 update, complex rectangular matrix, unconjugated vector |
| F06SNF
| Rank-1 update, complex rectangular matrix, conjugated vector |
| F06SPF
| Rank-1 update, complex Hermitian matrix |
| F06SQF
| Rank-1 update, complex Hermitian packed matrix |
| F06SRF
| Rank-2 update, complex Hermitian matrix |
| F06SSF
| Rank-2 update, complex Hermitian packed matrix |
| F06TBF
| Rank-1 update, complex symmetric matrix |
| F06TDF
| Rank-1 update, complex symmetric packed matrix |
| F06TPF
| factorization by sequence of plane rotations, rank-1 update of complex upper triangular matrix |
| F06WCF
| Rank- update of a real symmetric matrix, Rectangular Full Packed format |
| F06WQF
| Rank- update of a complex Hermitian matrix, Rectangular Full Packed format |
| F06YPF
| Rank- update of a real symmetric matrix |
| F06YRF
| Rank- update of a real symmetric matrix |
| F06ZPF
| Rank- update of a complex Hermitian matrix |
| F06ZRF
| Rank- update of a complex Hermitian matrix |
| F06ZUF
| Rank- update of a complex symmetric matrix |
| F06ZWF
| Rank- update of a complex symmetric matrix |
| G02BTF
| Update a weighted sum of squares matrix with a new observation |
| G13AGF
| Univariate time series, update state set for forecasting |
| G13BGF
| Multivariate time series, update state set for forecasting from multi-input model |
| G13DKF
| Multivariate time series, updates forecasts and their standard errors |
| G13EAF
| Combined measurement and time update, one iteration of Kalman filter, time-varying, square root covariance filter |
| G13EBF
| Combined measurement and time update, one iteration of Kalman filter, time-invariant, square root covariance filter |