Throughout the paper, a vector norm is always the

2-norm.

is called an

2-norm on X and the pair (X, [parallel].

03 second, the designed nozzle pressure virtual sensor achieved, on average, a normalized

2-norm of the estimation error at 6.

6), we could use an identical argument to obtain a bound in the

2-norm, but for the quantity in (3.

2] stand for the Frobenius norm and the

2-norm, respectively.

The square of the

2-norm on the left hand side in (3.

Then the following holds for the

2-norm [parallel] x [parallel]:

The spectral

2-norm of a matrix A is denoted by [[parallel]A[parallel].

The error is then calculated as the

2-norm of the difference between the approximation and the exact solution, divided by the

2-norm of the solution.

2) is useful when we consider the nonsymmetric case, we note here that one can write the above bounds as a bound on the

2-norm condition number of K preconditioned centrally by the norm

For convenience, we define the

2-norm of a function u(x, t) to be the vector

2-norm of the restriction of u(x, t) to the spatial grid:

To apply the lemma, one has to construct a W satisfying these conditions, and to bound its

2-norm.

In this paper [parallel]x[parallel] will always denote the

2-norm for vectors and the associated spectral norm for matrices: [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].

Computing strong RRCh decomposition using max norm and

2-norm estimators: Algorithm 5.

Then the

2-norm of the residual may be bounded by the following standard estimate