Universal generator of irregular multidimensional multiextremal functions

Abstract

The paper describes the development of a universal test functions generator to validate and setup the algorithms for investigating multiextremal systems characteristics. The main difference between the proposed functions and the set of known multiextremal test functions is their irregularity related to the extremes coordinate location and their respective quantitative values, since all known test functions are based on the analytical functions. The functionality of the developed “Lambda Function” software is described in details to validate such approach, supporting the test functions controlled generation, their editing and studying the multi-dimensional, multi-extremal test functions characteristics. Its fundamental novelty is that these functions are based on the multiplicative functions, developed by R. Neudorf, which extreme and multidimensionality characteristics enable to completely exclude the influence of their structure patterns when the results are computed. The “Lambda Function” software provides a wide range of possibilities to develop and investigate the test functions being created. Such results can be applied in variety of research domains, and the developed software can be easily integrated with third-party software, based on its extensive modular design.