Use of formal derivative for extremizing real-valued functions of complex variables

Sudarshan R. Nelatury, Charles W. Nelatury, Charles F. Nelatury

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The extremum of a real-valued nonanalytic function of a complex variable that defies Cauchy-Riemann equa- tions 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.

Original languageEnglish (US)
Title of host publicationPhotonic Applications for Aerospace, Commercial, and Harsh Environments IV
DOIs
StatePublished - Aug 8 2013
EventPhotonic Applications for Aerospace, Commercial, and Harsh Environments IV - Baltimore, MD, United States
Duration: Apr 29 2013May 1 2013

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume8720
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Other

OtherPhotonic Applications for Aerospace, Commercial, and Harsh Environments IV
CountryUnited States
CityBaltimore, MD
Period4/29/135/1/13

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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