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Proceedings Paper

Use of formal derivative for extremizing real-valued functions of complex variables
Author(s): Sudarshan R. Nelatury; Charles W. Nelatury; Charles F. Nelatury
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Paper Abstract

The extremum of a real-valued nonanalytic function of a complex variable that defies Cauchy-Riemann equations can be found using formal derivatives. This letter shows how the first and second derivative tests can be recast via formal gradient and formal Hessian. The elegance of the method is illustrated with examples.

Paper Details

Date Published: 31 May 2013
PDF: 7 pages
Proc. SPIE 8720, Photonic Applications for Aerospace, Commercial, and Harsh Environments IV, 87200H (31 May 2013); doi: 10.1117/12.2016270
Show Author Affiliations
Sudarshan R. Nelatury, Penn State Erie, The Behrend College (United States)
Charles W. Nelatury, The Pennsylvania State Univ. (United States)
Charles F. Nelatury, Drexel Univ. (United States)

Published in SPIE Proceedings Vol. 8720:
Photonic Applications for Aerospace, Commercial, and Harsh Environments IV
Alex A. Kazemi; Bernard C. Kress; Simon Thibault, Editor(s)

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