INTERPOLATION BY TRANSLATES OF A 1/x FUNCTION WITH ENERGY CONSTRAINT
This thesis discusses a new interpolation method that uses translates of o(x) = 1=x as interpolants. The proof of f1=(x - vj) nj=1 as interpolants is shown using the fact that the Cauchy matrix is nonsingular. The function that is obtained as an interpolation result is a linear combination of n-tra...
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id-itb.:348702019-02-15T15:06:08ZINTERPOLATION BY TRANSLATES OF A 1/x FUNCTION WITH ENERGY CONSTRAINT Pramesti, Dita Matematika Indonesia Theses Cauchy matrix, interpolant, interpolation, minimum energy principle, translation. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/34870 This thesis discusses a new interpolation method that uses translates of o(x) = 1=x as interpolants. The proof of f1=(x - vj) nj=1 as interpolants is shown using the fact that the Cauchy matrix is nonsingular. The function that is obtained as an interpolation result is a linear combination of n-translates of o(x). To choose translation factors, minimum energy principle is used to obtain the best curve as an interpolation result. The results show that the energy decreases when the distance and spread of translation factors increase. A procedure to find translation factors that optimize the energy of the curve is presented in this thesis. text |
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Indonesia Indonesia |
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Matematika |
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Matematika Pramesti, Dita INTERPOLATION BY TRANSLATES OF A 1/x FUNCTION WITH ENERGY CONSTRAINT |
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This thesis discusses a new interpolation method that uses translates of o(x) = 1=x as interpolants. The proof of f1=(x - vj) nj=1 as interpolants is shown using the fact that the Cauchy matrix is nonsingular. The function that
is obtained as an interpolation result is a linear combination of n-translates of o(x). To choose translation factors, minimum energy principle is used to obtain the best curve as an interpolation result. The results show that the energy decreases when the distance and spread of translation factors increase. A procedure to find translation factors that optimize the energy of the curve is presented in this thesis. |
| format |
Theses |
| author |
Pramesti, Dita |
| author_facet |
Pramesti, Dita |
| author_sort |
Pramesti, Dita |
| title |
INTERPOLATION BY TRANSLATES OF A 1/x FUNCTION WITH ENERGY CONSTRAINT |
| title_short |
INTERPOLATION BY TRANSLATES OF A 1/x FUNCTION WITH ENERGY CONSTRAINT |
| title_full |
INTERPOLATION BY TRANSLATES OF A 1/x FUNCTION WITH ENERGY CONSTRAINT |
| title_fullStr |
INTERPOLATION BY TRANSLATES OF A 1/x FUNCTION WITH ENERGY CONSTRAINT |
| title_full_unstemmed |
INTERPOLATION BY TRANSLATES OF A 1/x FUNCTION WITH ENERGY CONSTRAINT |
| title_sort |
interpolation by translates of a 1/x function with energy constraint |
| url |
https://digilib.itb.ac.id/gdl/view/34870 |
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