Titlebook: Approximation and Optimization; Algorithms, Complexi Ioannis C. Demetriou,Panos M. Pardalos Book 2019 Springer Nature Switzerland AG 2019 R

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Recent Progress in Optimization of Multiband Electrical Filters,ty. We discuss a recently developed approach for the solution of optimization problem naturally arising in the synthesis of multi-band (analogue, digital or microwave) electrical filters. The approach is based on techniques from algebraic geometry and generalizes the effective representation of Zolotar?v fraction.

MILL

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Evaluation Complexity Bounds for Smooth Constrained Nonlinear Optimization Using Scaled KKT Conditi al. (IMA J Numer Anal 32:1662–1695, 2012) for computing an .-approximate first-order critical point can be obtained under significantly weaker assumptions. Moreover, the result is generalized to the case where high-order derivatives are used, resulting in a bound of .(..) evaluations whenever deriv

fertilizer

Data-Dependent Approximation in Social Computing,ecially in the area of social computing, where nonsubmodular combinatorial optimization problems have been recently formulated. In this chapter, we present some theoretical results on the data-dependent approximation approach. In addition, some related open problems are discussed.

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arthroscopy

,Piecewise Convex–Concave Approximation in the Minimax Norm,lowing projective technique is proposed for obtaining a vector of smooth approximations to these values. Find . minimizing ∥.??.∥. subject to the constraints that the consecutive second-order divided differences of the components of . change sign at most . times. This optimization problem (which is

Longitude

A Decomposition Theorem for the Least Squares Piecewise Monotonic Data Approximation Problem,condition that the first differences of the approximated values have at most .???1 sign changes, where . is a given positive integer. The positions of the sign changes are integer variables whose optimal values are to be determined automatically. Since the number of trials of all possible combinatio

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Recent Progress in Optimization of Multiband Electrical Filters,rogress in math eventually led to the progress in technology: half a century later German electrical engineer and physicist W. Cauer on the basis of this solution has invented low- and high-pass electrical filters known today as elliptic or Cauer-Zolotar?v filters and possessing the unbeatable quali

Narrative

Impact of Error in Parameter Estimations on Large Scale Portfolio Optimization, risks. One fundamental approach for quantifying the risk–return trade-off of assets is mean–variance analysis. In this case, it is crucial to accurately estimate parameters of the model. We examine how estimation error for means and covariance matrix of stock returns may affect the results of selec