An Automatic and Unified Treatment for the Degeneracy of Geometric Program and its Implementation(Theory)

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  • 幾何プログラムの退化に対する自動的かつ統一的な対処法の実現(理論)
  • 幾何プログラムの退化に対する自動的かつ統一的な対処法の実現
  • キカ プログラム ノ タイカ ニ タイスル ジドウテキ カツ トウイツテキ ナ タイショホウ ノ ジツゲン

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In geometrical program, degenerated input needs to be dealt with exceptionally. Since there are large variety of degeneracies, it is difficult to deal with all of those degeneracies individually. Conventional unified treatments for degeneracies require programmers to rewrite a quite amount in each program while what we propose in this paper deals with degeneracies almost automatically avoiding the rewrite of the program in C. For geometric programs in C, we introduce a new class in C++, replace the type of some variables with it and make the programs deal with degeneracies by symbolic perturbation with operator overloading in C++.

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