Solutions for the distance matrix problem were approximated by using Monte Carlo optimizations (Dali) (Holm and Sander, 1993) and an algorithm involving heuristic cutoffs on pairwise distance scores [Combinatorial Extension, (CE)] (Bourne and Shindyalov, 1998), whereas the contact map overlap problem has been addressed by using integer programming and Lagrangian relaxation (Caprara et al., 2004).
Step 3: Compute relevancy values of the samples by solving the matrix problem in equation (16 ).
As shown in Algorithm 3, we also solve the matrix construction problem by adopting the alternating projection method from the macro perspective.
Similar conclusion drawn from the present asymptotic analysis of fiber break problem is in agreement with that of an energy based criterion derived here in analogy to the corresponding matrix crack problem by another investigator.
High-precision isotope measurements by MC-ICPMS are, however, easily affected by matrix problems, which can produce inaccuracies [ 5, 6, 13, 26].
Nevertheless, some authors have approached the large SV-matrix inversion problem, by using the Singular Value Decomposition (SVD [1]) directly on the blur matrix.
These matrix problems were only partially solved by affinity purification of the PAbs used and by applying a sandwich immunoassay format.
Furthermore, this controller design problem can be reduced to a linear matrix inequality (LMI) problem by use of the Schur Complements.
This is done by replacing focal points of conjoined bases of one problem by matrix analogs of weighted zeros of Wronskians of conjoined bases of two different problems.
We introduce two types of operator-Lie algebras according to a given spectral problem by a matrix Lie algebra and apply the r-matrix theory to obtain a few lattice integrable systems, including two ((2+1))-dimensional lattice systems.
