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Preprints of the Keldysh Institute of Applied Mathematics, 1997, 082
(Mi ipmp1469)
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Theory and Applications of D-Gradients
V. N. Demidov
Abstract:
Theoretical and applied aspects of a qualitatively new approach to operations with mathematical objects associated with systems of functions are developed. The basis for the built differential-geometry constructions is actions with d-gradients. The obtained results allowed to reveal the detailed picture of the inclusion for manifolds with broken boundary; deduce simple and explicit formulas for admissible directions and curves of the greatest function descent for optimization problems with constraints; establish a class of d-norms whose spherical surfaces have breaks identical to those of the constraints; construct algorithms for solutions to inequalities; create numerical d-gradient methods of minimization whose virtue consists in multiple gains in computations.
Citation:
V. N. Demidov, “Theory and Applications of D-Gradients”, Keldysh Institute preprints, 1997, 082
Linking options:
https://www.mathnet.ru/eng/ipmp1469 https://www.mathnet.ru/eng/ipmp/y1997/p82
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Statistics & downloads: |
Abstract page: | 61 | Full-text PDF : | 3 |
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