Sentence examples for a maximum norm from inspiring English sources

In what follows we will denote the Euclidean metric on by and a "maximum" norm on any suitable space by.

We provide a maximum norm analysis of an overlapping Schwarz method on nonmatching grids for second-order elliptic obstacle problem.

Proof It is easy to know that E = C is a Banach space with a maximum norm ∥ ⋅ ∥ and it is also a lattice.

However, a maximum-norm stability analysis can be conducted.

For both algorithms, the inversion was calculated to an accuracy of ϵ = 10 − 8, such that ‖ F → 0 − (1 − K ) ⋅ F → fin ‖ ⩽ ϵ, where F → fin denotes the numerical result of the inversion, and the norm is a maximum-norm, which corresponds to the maximal absolute value of any element of the vector.

Let, for any continuous function g, denotes a continuous maximum norm on the corresponding interval.

For any continuous function, denotes a continuous maximum norm on the corresponding closed interval ; in particular we will use.

Let a Banach space with the maximum norm, and a normal cone.

is a normed linear space with the maximum norm and partially ordered by the cone. is a normal cone in.

Quite a few works on maximum norm error analysis of overlapping nonmatching grids methods for elliptic problems are known in the literature (cf., e.g., [11 14]).

In this section, we derive a bound on the maximum norm of the optimal parameter vector w* for (4).