The solution of infinitely ill-conditioned weakly-singular problems
β Scribed by E.A. Galperin; E.J. Kansa
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 856 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0895-7177
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β¦ Synopsis
It is demonstrated on examples that a weak singularity (i.e., with converging improper Keywords-weakly-singular problems, III posedness, R.emoval of singuhu%ics.
π SIMILAR VOLUMES
AWract-Parametric identification problems, often, require solving systems of algebraic equations via mversion of matrices of noisy data. Generally, these problems are badly conditioned and, therefore, small perturbations in the experimental data result in magnified errors in the ident&ed parameters.
Various physical problems lead to an ill-conditioned system of equations TX U in which the variancecovariance matrix of the measured Vector Uis known. To facilitate the solution of such equations. the following form of the quadratic optimization problem was introduced: join fQ (X) = XTCX + DX + F X