f07ab uses the $LU$ factorization to compute the solution to a real system of linear equations where $A$ is an $n$ by $n$ matrix and $X$ and $B$ are $n$ by $r$ matrices. Error bounds on the solution and a condition estimate are also provided.

f07ap uses the $LU$ factorization to compute the solution to a complex system of linear equations where $A$ is an $n$ by $n$ matrix and $X$ and $B$ are $n$ by $r$ matrices. Error bounds on the solution and a condition estimate are also provided.

f07ar computes the $LU$ factorization of a complex $m$ by $n$ matrix.

f07as solves a complex system of linear equations with multiple right-hand sides, where $A$ has been factorized by f07ar.

f07fb uses the Cholesky factorization to compute the solution to a real system of linear equations where $A$ is an $n$ by $n$ symmetric positive definite matrix and $X$ and $B$ are $n$ by $r$ matrices. Error bounds on the solution and a condition estimate are also provided.

f07fp uses the Cholesky factorization to compute the solution to a complex system of linear equations where $A$ is an $n$ by $n$ Hermitian positive definite matrix and $X$ and $B$ are $n$ by $r$ matrices. Error bounds on the solution and a condition estimate are also provided.

f07hd computes the Cholesky factorization of a real symmetric positive definite band matrix.

f07he solves a real symmetric positive definite band system of linear equations with multiple right-hand sides, where $A$ has been factorized by f07hd.

f07te solves a real triangular system of linear equations with multiple right-hand sides, $AX=B$ or $A^{\mathrm{T}}X=B$.

f07th returns error bounds for the solution of a real triangular system of linear equations with multiple right-hand sides, $AX=B$ or $A^{\mathrm{T}}X=B$.

f07tj computes the inverse of a real triangular matrix.