Theory of Iterative Methods for Polyhedral Approximation of Convex Bodies

Interactive Decision Maps - Applied Optimization ◽

10.1007/978-1-4419-8851-5_8 ◽

2004 ◽

pp. 237-261

Author(s):

Alexander V. Lotov ◽

Vladimir A. Bushenkov ◽

Georgy K. Kamenev

Keyword(s):

Iterative Methods ◽

Convex Bodies ◽

Polyhedral Approximation ◽

Approximation Of Convex Bodies

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Duality theory of optimal adaptive methods for polyhedral approximation of convex bodies

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542508030056 ◽

2008 ◽

Vol 48 (3) ◽

pp. 376-394 ◽

Author(s):

G. K. Kamenev

Keyword(s):

Duality Theory ◽

Convex Bodies ◽

Adaptive Methods ◽

Polyhedral Approximation ◽

Approximation Of Convex Bodies

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Analytic and polyhedral approximation of convex bodies in separable polyhedral Banach spaces

Israel Journal of Mathematics ◽

10.1007/bf02780326 ◽

1998 ◽

Vol 105 (1) ◽

pp. 139-154 ◽

Author(s):

Robert Deville ◽

Vladimir Fonf ◽

Petr Hájek

Keyword(s):

Banach Spaces ◽

Convex Bodies ◽

Polyhedral Approximation ◽

Approximation Of Convex Bodies

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Optimal growth order of the number of vertices and facets in the class of Hausdorff methods for polyhedral approximation of convex bodies

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542511060054 ◽

2011 ◽

Vol 51 (6) ◽

pp. 952-964 ◽

Author(s):

R. V. Efremov ◽

G. K. Kamenev

Keyword(s):

Convex Bodies ◽

Optimal Growth ◽

Polyhedral Approximation ◽

Growth Order ◽

Approximation Of Convex Bodies

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The initial convergence rate of adaptive methods for polyhedral approximation of convex bodies

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542508050035 ◽

2008 ◽

Vol 48 (5) ◽

pp. 724-738 ◽

Author(s):

G. K. Kamenev

Keyword(s):

Convergence Rate ◽

Convex Bodies ◽

Adaptive Methods ◽

Polyhedral Approximation ◽

Approximation Of Convex Bodies

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Optimal Non-adaptive Approximation of Convex Bodies by Polytopes

Lecture Notes in Computational Science and Engineering - Numerical Geometry, Grid Generation and Scientific Computing ◽

10.1007/978-3-030-23436-2_11 ◽

2019 ◽

pp. 157-172

Author(s):

George K. Kamenev

Keyword(s):

Convex Bodies ◽

Adaptive Approximation ◽

Approximation Of Convex Bodies

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Error of Asymptotic Formulae for Volume Approximation of Convex Bodies in

Monatshefte für Mathematik ◽

10.1007/s006050200023 ◽

2002 ◽

Vol 135 (4) ◽

pp. 279-304 ◽

Author(s):

Peter M. Gruber

Keyword(s):

Convex Bodies ◽

Asymptotic Formulae ◽

Approximation Of Convex Bodies ◽

Volume Approximation

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Fine approximation of convex bodies by polytopes

American Journal of Mathematics ◽

10.1353/ajm.2020.0018 ◽

2020 ◽

Vol 142 (3) ◽

pp. 809-820

Author(s):

Márton Naszódi ◽

Fedor Nazarov ◽

Dmitry Ryabogin

Keyword(s):

Convex Bodies ◽

Approximation Of Convex Bodies

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RANDOM METHODS IN APPROXIMATION OF CONVEX BODIES

Integral Geometry and Convexity ◽

10.1142/9789812774644_0007 ◽

2006 ◽

Author(s):

CARSTEN SCHÜTT

Keyword(s):

Convex Bodies ◽

Random Methods ◽

Approximation Of Convex Bodies

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On the Approximation of Convex Bodies by Ellipses with Respect to the Symmetric Difference Metric

Discrete & Computational Geometry ◽

10.1007/s00454-018-0015-z ◽

2018 ◽

Vol 60 (4) ◽

pp. 938-966

Author(s):

Jairo Bochi

Keyword(s):

Convex Bodies ◽

Symmetric Difference ◽

Symmetric Difference Metric ◽

Approximation Of Convex Bodies

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POISSON HYPERPLANE PROCESSES AND APPROXIMATION OF CONVEX BODIES

Mathematika ◽

10.1112/mtk.12040 ◽

2020 ◽

Vol 66 (3) ◽

pp. 713-732

Author(s):

Daniel Hug ◽

Rolf Schneider

Keyword(s):

Convex Bodies ◽

Approximation Of Convex Bodies

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