General Computational Methods of Chebyshev Approximation: The Problems with Linear Real Parameters, Book 2U.S. Atomic Energy Commission, Division of Technical Information, 1962 - Approximation theory - 740 pages |
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Page 352
The Problems with Linear Real Parameters Evgeniĭ I︠A︡kovlevich Remez. STANFORD UNIVERSITY LIBRARY A translation of : Obshchie Vychislite l'nye Metody Chebyshevskogo Priblizheniya.
The Problems with Linear Real Parameters Evgeniĭ I︠A︡kovlevich Remez. STANFORD UNIVERSITY LIBRARY A translation of : Obshchie Vychislite l'nye Metody Chebyshevskogo Priblizheniya.
Page 354
The Problems with Linear Real Parameters Evgeniĭ I︠A︡kovlevich Remez ! A translation of : Obshchie Vychislitel'nye Metody Chebyshevskogo Priblizheniya .
The Problems with Linear Real Parameters Evgeniĭ I︠A︡kovlevich Remez ! A translation of : Obshchie Vychislitel'nye Metody Chebyshevskogo Priblizheniya .
Page 355
... CHEBYSHEV APPROXIMATION . THE PROBLEMS WITH LINEAR REAL PARAMETERS Book 2 By E. Ya . Remez Translated from a publication of the Publishing House of the Academy of Sciences of the Ukrainian S.S.R. Kiev , 1957 . ENERGY * ATOMIC UNITED ...
... CHEBYSHEV APPROXIMATION . THE PROBLEMS WITH LINEAR REAL PARAMETERS Book 2 By E. Ya . Remez Translated from a publication of the Publishing House of the Academy of Sciences of the Ukrainian S.S.R. Kiev , 1957 . ENERGY * ATOMIC UNITED ...
Page 356
... Chebyshevskogo Priblizheniya . Zadachi s Lineĭno Vkhodyashchimi Veshchestvennymi Parametrami . E. Ya . Remez . Izdatel'stvo Akademiya Nauk Ukrainskoĭ S.S.R. Kiev , 1957 . Translated by the U. S. Joint Publications Research Service , New ...
... Chebyshevskogo Priblizheniya . Zadachi s Lineĭno Vkhodyashchimi Veshchestvennymi Parametrami . E. Ya . Remez . Izdatel'stvo Akademiya Nauk Ukrainskoĭ S.S.R. Kiev , 1957 . Translated by the U. S. Joint Publications Research Service , New ...
Page 357
... Chebyshev approximations . Chapter Five General introduction , a -algorithm of successive weighted quadratic approximations , and possible different applications of the algorithm . 31 . Part 1 . 32 . 33 . Part 2 . General principle of ...
... Chebyshev approximations . Chapter Five General introduction , a -algorithm of successive weighted quadratic approximations , and possible different applications of the algorithm . 31 . Part 1 . 32 . 33 . Part 2 . General principle of ...
Common terms and phrases
actually affine transformation aforementioned algorithm analogous application assume barycentric representation base plane best approximation C₁ calculation Chapter Chebyshev approximation Chebyshev problem Chebyshev solution Chebyshev subsystem closed set coefficients computational condition considered convex hull convex set coordinates correction corresponding defined denote descent ray determination directly dominating planes elementary subsystem equalizing descents Euclidean Euclidean space example finite formulation Fourier surface function Heading indicated internal point intersection linear manifold linearly independent manner matrix n-dimensional nodal point notation obtain obviously orthogonal parameters parametric vector point Mo point set point x(0 polyhedron possible preceding prevailing deviations problem 20 Q₁ quantity R₁ ray system reduced relation satisfied Section 14 Section 37 Section 43 Section 51 segment sign relation simplex solving space Rn step system of equations system of incompatible Theorem tion Ukrainian SSR variant weighted quadratic approximation
Popular passages
Page 723 - POINCARÉ H. Sur les équations aux dérivées partielles de la physique mathématique. American J.
Page 361 - Chebyshev approximations is presented. Part One treats integral methods of effective Chebyshev approximation and properties of solutions of the generalized Chebyshev problem. Part Two concerns finite systems of incompatible linear equations and network methods of Chebyshev approximations.
Page 602 - Kukarkin et al. (1958) is given in the second, third, fourth, and fifth columns of Table L More recent spectral types at maximum light (Keenan 1966) are given in the last column.
Page 513 - The results are given in the second, third, and fourth columns of the following table. The product of the three factors, that is, the transmissivity of the whole filter, is given in the fifth column.
Page 719 - Ueber einige Funktionen die in gegebenen Intervallen am wenigsten von Null abweichen, Izv. Kazan.
Page 473 - Council of the Institute of Mathematics of the Academy of Sciences, Ukrainian SSR in 1974—1975 710 Abstracts 715 /SCtÉrtCES LIBRARY ТОМ 27 1975 СОД ЕРЖАН ИЕ Барм с Я.
Page 415 - Let i* be that value (or any of the values, if there are more than one) of the index 1, for which the quantity (103) assumes the required least positive value a = alf and let e?
Page 361 - OF SUCCESSIVE WEIGHTED QUADRATIC APPROXIMATIONS, AND POSSIBLE DIFFERENT APPLICATIONS OF THE ALGORITHM 31.
Page 723 - Functions Deviating Least From Zero in a Given Interval), St. Petersburg, 1892.
Page 390 - III and taki] into account the theorem of higher algebra concerning the continuous dependence of the roots of an equation on its coefficients, we note that Eq.