Abstract
In this chapter we analyze the mirror descent algorithm for minimization of convex and nonsmooth functions and for computing the saddle points of convex–concave functions, under the presence of computational errors. The problem is described by an objective function and a set of feasible points.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Beck A, Teboulle M (2003) Mirror descent and nonlinear projected subgradient methods for convex optimization. Oper Res Lett 31:167–175
Nemirovski A, Yudin D (1983) Problem complexity and method efficiency in optimization. Wiley, New York
Zaslavski AJ (2016) Numerical optimization with computational errors. Springer, Cham
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
J. Zaslavski, A. (2020). The Mirror Descent Algorithm. In: Convex Optimization with Computational Errors. Springer Optimization and Its Applications, vol 155. Springer, Cham. https://doi.org/10.1007/978-3-030-37822-6_3
Download citation
DOI: https://doi.org/10.1007/978-3-030-37822-6_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-37821-9
Online ISBN: 978-3-030-37822-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)