A nonlinear minimax optimization program not requiring derivatives
K. Madsen,H. Schjaer-Jacobsen +1 more
About: This article is published in IEEE Transactions on Antennas and Propagation. The article was published on 01 May 1977. and is currently open access. The article focuses on the topics: Minimax approximation algorithm & Minimax.
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Citations
Synthesis of spacecraft array antennas for intelsat frequency reuse multiple contoured beams
TL;DR: Application of the proposed method demon-strafes the feasibility of spacecraft frequency reuse array antennas with multiple contoured beams for typical Intelsat sixfold frequency reuse requirements and demonstrates that repetitive optimization will reduce the number of array elements required.
26
Geometric Design and Comparison of Multifaceted Antenna Arrays for Hemispherical Coverage
I. Khalifa,Rodney G. Vaughan +1 more
TL;DR: This work addresses the optimization of the geometric design of two classes of multifaceted antenna arrays, namely, pyramids and pyramidal frusta, and presents a new optimal approach based on minimax optimization, along with a comparison of the two approaches.
19
Optimal Configuration of Multi-Faceted Phased Arrays for Wide Angle Coverage
I. Khalifa,Rodney G. Vaughan +1 more
- 22 Apr 2007
TL;DR: The design for the optimal geometry (face elevation angle) of pyramidal frustum arrays is addressed using a novel minimax-based approach and the methodology for the choice of the number of faces is presented.
11
Optimal Elevation of Phased Array Antennas in Pyramidal Configurations Using a Minimax-Based Approach
I. Khalifa,Rodney G. Vaughan +1 more
- 22 Apr 2007
TL;DR: A novel approach based on minimax optimization for determining the elevation angle of the individual planar arrays in a pyramidal configuration, given a general hemispherical coverage requirement is presented.
References
Synthesis of nonuniformly spaced arrays using a general nonlinear minimax optimisation method
H. Schjaer-Jacobsen,K. Madsen +1 more
TL;DR: Antenna patterns can be synthesized using a new nonlinear minimax optimization method with sure convergence properties that is general and easy to use so that it might be applied to a wide variety of nonlinear synthesis problems for which analytical solutions are not known.
Minimax solution of non-linear equations without calculating derivatives
Kaj Madsen
- 01 Jan 1975
TL;DR: In this article, the problem of minimizing the maximum residual of a set of non-linear algebraic equations is considered in the case where the functions defining the problem have continuous first derivatives, but no expression for these derivatives is available.