Convergence property of the Iri-Imai algorithm for some smooth convex programming problems
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Publication:1335125
DOI10.1007/BF02191783zbMath0819.90073MaRDI QIDQ1335125
Publication date: 27 September 1994
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
interior-point algorithmssmooth convex programmingglobally linear convergence rateIri-Imai algorithm
Convex programming (90C25) Interior-point methods (90C51) Computational methods for problems pertaining to operations research and mathematical programming (90-08)
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Potential reduction method for harmonically convex programming ⋮ New complexity results for the Iri-Imai method ⋮ Les effets de l'exposant de la fonction barrière multiplicative dans les méthodes de points intérieurs ⋮ Value estimation approach to the Iri-Imai method for constrained convex optimization
Cites Work
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- A modification of Karmarkar's linear programming algorithm
- A new polynomial-time algorithm for linear programming
- A potential-reduction variant of Renegar's short-step path-following method for linear programming
- An \(O(n^ 3L)\) potential reduction algorithm for linear programming
- A multiplicative barrier function method for linear programming
- A polynomial-time algorithm, based on Newton's method, for linear programming
- Polynomial-time algorithms for linear programming based only on primal scaling and projected gradients of a potential function
- A proof of the polynomiality of the Iri-Imai method
- On the classical logarithmic barrier function method for a class of smooth convex programming problems
- Polynomial affine algorithms for linear programming
- A variation on Karmarkar’s algorithm for solving linear programming problems
- A Large-Step Analytic Center Method for a Class of Smooth Convex Programming Problems
- Convex Analysis