Geodesic
Some features of solving the problems of mapping for allocation of chemical
Numerical methods and programming, Tome 3 (2002) no. 1, pp. 1-13

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The problem of mapping for allocation of chemical elements on stellar surfaces is considered as an ill-posed one. The minimization of Tikhonov's functional with the choice of a regularization parameter according to the finite-dimensional generalized discrepancy principle is used to construct a regularizing algorithm for solving the problem under consideration. The method based on projections of conjugate gradients onto a set of non-negative vectors is chosen as a method of minimization. An approach to numerical solution of the minimization problem is considered for the above mapping problem. A multiprocessor computer is used to solve several model problems numerically. Some schemes of parallelization are offered and special features of their realization are discussed.
Keywords: ill-posed problems, problems of mapping, Tikhonov's functional, multiprocessor systems. 
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A. G. Yagola; V. N. Titarenko; M. P. Vasil'ev; E. V. Shimanovskaya. Some features of solving the problems of mapping for allocation of chemical. Numerical methods and programming, Tome 3 (2002) no. 1, pp. 1-13. http://geodesic.mathdoc.fr/item/VMP_2002_3_1_a0/