Manuscript Psy03-C@1 · Psy03-C-v1.tex · section · d3380b90

An explicit cell-parameter residual

Noise, parameter, and control certificates › An explicit cell-parameter residual · lines 865–878

Compare two cells at the same $u, h$ , with $\norm h_{\infty} \leq R$ . For $j \in {r, ζ, n}$ , define

q_{j} = \norm A_{j} - A_{j}^{'} \norm u_{2} + \norm B_{j} - B_{j}^{'} \norm h_{2} + \norm b_{ij} - b_{ij}^{'}_{2} + \norm b_{hj} - b_{hj}^{'}_{2} .

Set $w_{n}^{'} = B_{n}^{'} h + b_{hn}^{'}$ .

Displayed formulas in this passage

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$q_{j} = \norm A_{j} - A_{j}^{'} \norm u_{2} + \norm B_{j} - B_{j}^{'} \norm h_{2} + \norm b_{ij} - b_{ij}^{'}_{2} + \norm b_{hj} - b_{hj}^{'}_{2} .$