On the complexity of a combined homotopy interior method for convex programming (Q859861)
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scientific article; zbMATH DE number 5117666
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the complexity of a combined homotopy interior method for convex programming |
scientific article; zbMATH DE number 5117666 |
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On the complexity of a combined homotopy interior method for convex programming (English)
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22 January 2007
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The authors consider convex nonlinear optimization problems of the form \[ \text{minimize }f(x),\quad g_i(x)\leq 0,\quad x\in\mathbb{R}^n. \] For this problems, polynomiality of a combined homotopy interior-point method for convex programming is discussed. By taking a piecewise technique, upper bounds for the total numbers of iterations are obtained. No numerical tests are given.
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polynomiality
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homotopy method
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interior-point method
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path-following
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convex nonlinear optimization
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