f03bhc | Determinant of real symmetric positive definite banded matrix |

f04bbc | Computes the solution and error-bound to a real banded system of linear equations |

f04bfc | Computes the solution and error-bound to a real symmetric positive definite banded system of linear equations |

f04cbc | Computes the solution and error-bound to a complex banded system of linear equations |

f04cfc | Computes the solution and error-bound to a complex Hermitian positive definite banded system of linear equations |

f07bac | Computes the solution to a real banded system of linear equations |

f07bbc | Uses the LU factorization to compute the solution, error-bound and condition estimate for a real banded system of linear equations |

f07bdc | LU factorization of real m by n band matrix |

f07bec | Solution of real band system of linear equations, multiple right-hand sides, matrix already factorized by f07bdc |

f07bfc | Computes row and column scalings intended to equilibrate a real banded matrix and reduce its condition number |

f07bgc | Estimate condition number of real band matrix, matrix already factorized by f07bdc |

f07bhc | Refined solution with error bounds of real band system of linear equations, multiple right-hand sides |

f07bnc | Computes the solution to a complex banded system of linear equations |

f07bpc | Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex banded system of linear equations |

f07brc | LU factorization of complex m by n band matrix |

f07bsc | Solution of complex band system of linear equations, multiple right-hand sides, matrix already factorized by f07brc |

f07btc | Computes row and column scalings intended to equilibrate a complex banded matrix and reduce its condition number |

f07buc | Estimate condition number of complex band matrix, matrix already factorized by f07brc |

f07bvc | Refined solution with error bounds of complex band system of linear equations, multiple right-hand sides |

f07hac | Computes the solution to a real symmetric positive definite banded system of linear equations |

f07hbc | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite banded system of linear equations |

f07hdc | Cholesky factorization of real symmetric positive definite band matrix |

f07hec | Solution of real symmetric positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by f07hdc |

f07hfc | Computes row and column scalings intended to equilibrate a real symmetric positive definite banded matrix and reduce its condition number |

f07hgc | Estimate condition number of real symmetric positive definite band matrix, matrix already factorized by f07hdc |

f07hhc | Refined solution with error bounds of real symmetric positive definite band system of linear equations, multiple right-hand sides |

f07hnc | Computes the solution to a complex Hermitian positive definite banded system of linear equations |

f07hpc | Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite banded system of linear equations |

f07hrc | Cholesky factorization of complex Hermitian positive definite band matrix |

f07hsc | Solution of complex Hermitian positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by f07hrc |

f07htc | Computes row and column scalings intended to equilibrate a complex Hermitian positive definite banded matrix and reduce its condition number |

f07huc | Estimate condition number of complex Hermitian positive definite band matrix, matrix already factorized by f07hrc |

f07hvc | Refined solution with error bounds of complex Hermitian positive definite band system of linear equations, multiple right-hand sides |

f07vec | Solution of real band triangular system of linear equations, multiple right-hand sides |

f07vgc | Estimate condition number of real band triangular matrix |

f07vhc | Error bounds for solution of real band triangular system of linear equations, multiple right-hand sides |

f07vsc | Solution of complex band triangular system of linear equations, multiple right-hand sides |

f07vuc | Estimate condition number of complex band triangular matrix |

f07vvc | Error bounds for solution of complex band triangular system of linear equations, multiple right-hand sides |

f08hac | Computes all eigenvalues and, optionally, eigenvectors of a real symmetric band matrix |

f08hbc | Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric band matrix |

f08hcc | Computes all eigenvalues and, optionally, all eigenvectors of real symmetric band matrix (divide-and-conquer) |

f08hec | Orthogonal reduction of real symmetric band matrix to symmetric tridiagonal form |

f08hnc | Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix |

f08hpc | Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix |

f08hqc | Computes all eigenvalues and, optionally, all eigenvectors of complex Hermitian band matrix (divide-and-conquer) |

f08hsc | Unitary reduction of complex Hermitian band matrix to real symmetric tridiagonal form |

f08lec | Reduction of real rectangular band matrix to upper bidiagonal form |

f08lsc | Reduction of complex rectangular band matrix to upper bidiagonal form |

f08uac | Computes all the eigenvalues, and optionally, the eigenvectors of a real banded generalized symmetric-definite eigenproblem |

f08ubc | Computes selected eigenvalues, and optionally, the eigenvectors of a real banded generalized symmetric-definite eigenproblem |

f08ucc | Computes all the eigenvalues, and optionally, the eigenvectors of a real banded generalized symmetric-definite eigenproblem (divide-and-conquer) |

f08uec | Reduction of real symmetric-definite banded generalized eigenproblem Ax = λBx to standard form Cy = λy, such that C has the same bandwidth as A |

f08ufc | Computes a split Cholesky factorization of real symmetric positive definite band matrix A |

f08unc | Computes all the eigenvalues, and optionally, the eigenvectors of a complex banded generalized Hermitian-definite eigenproblem |

f08upc | Computes selected eigenvalues, and optionally, the eigenvectors of a complex banded generalized Hermitian-definite eigenproblem |

f08uqc | Computes all the eigenvalues, and optionally, the eigenvectors of a complex banded generalized Hermitian-definite eigenproblem (divide-and-conquer) |

f08usc | Reduction of complex Hermitian-definite banded generalized eigenproblem Ax = λBx to standard form Cy = λ y, such that C has the same bandwidth as A |

f08utc | Computes a split Cholesky factorization of complex Hermitian positive definite band matrix A |

f16pbc | Matrix-vector product, real rectangular band matrix |

f16pdc | Matrix-vector product, real symmetric band matrix |

f16pgc | Matrix-vector product, real triangular band matrix |

f16pkc | System of equations, real triangular band matrix |

f16rbc | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real band matrix |

f16rec | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real symmetric band matrix |

f16sbc | Matrix-vector product, complex rectangular band matrix |

f16sdc | Matrix-vector product, complex Hermitian band matrix |

f16sgc | Matrix-vector product, complex triangular band matrix |

f16skc | System of equations, complex triangular band matrix |

f16ubc | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex band matrix |

f16uec | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex Hermitian band matrix |

© The Numerical Algorithms Group Ltd, Oxford UK. 2012