An iterative substructuring method with Lagrange multipliers is considered for the second order elliptic problem, which is a variant of the FETI-DP method. The standard FETI-DP formulation is associated with the saddle-point problem which is induced from the minimization problem with a constraint for imposing the continuity across the interface. Starting from the slightly changed saddle-point p...

Univariate calibration method is a simple, cheap and easy to use procedure in analytical chemistry. A univariate analysis will be successful if a selective signal can be found for the analyte(s). In this work, two simple ways were used to find the selective signals, spectral ratio plot (SRP) and loading plot (LP). Both of them were able to discover the selective regions in the recorded data set...

There are several ways to represent real numbers on computers. Fixed point places a radix point somewhere in the middle of the digits, and is equivalent to using integers that represent portions of some unit. For example, one might represent 1/100ths of a unit; if you have four decimal digits, you could represent 10.82, or 00.01. Another approach is to use rationals, and represent every number ...

If the non-zero finite floating-point numbers are interpreted as point intervals, then the effect of rounding can be interpreted as computing one of the bounds of the result according to interval arithmetic. We give an interval interpretation for the signed zeros and infinities, so that the undefined operations ±0 ∗ ±∞, ±∞−±∞, ±∞/ ±∞, and ±0/ ± 0 become defined. In this way no operation remains...

Let H be a symmetric positive de nite matrix. Consider solving the linear system Hx = b using Cholesky, forward and back substitution in the standard way, yielding a computed solution x̂. The usual oating point error analysis says that the relative error kx x̂k2=kx̂k2 = O(") (H), where (H) is the condition number of H . Now write H = DAD, where D is diagonal and A has unit diagonal; then (A) n min...

objective: helicobacter pylori is a widely distributed gram negative bacterium that infects the human stomach and duodenum. some antibiotic regimens are subjected to cure the infection but the cost of drugs, poor patient compliance and emerging of antibiotic-resistant strains are limiting the usefulness of these antibiotic therapies. therefore, interest in developing a h. pylori vaccine is grow...