Zeroes and Extrema of Functions via Random Measures
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915641710084096 |
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| author | Micheas, Athanasios Christou |
| author_facet | Micheas, Athanasios Christou |
| contents | We present methods that provide all zeroes and extrema of a function that do not require differentiation. Using point process theory, we are able to describe the locations of zeroes or maxima, their number, as well as their distribution over a given window of observation. The algorithms in order to accomplish the theoretical development are also provided, and they are exemplified using many illustrative examples, for real and complex functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10293 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Zeroes and Extrema of Functions via Random Measures Micheas, Athanasios Christou Methodology Optimization and Control Computation Primary: 60G55, Secondary: 90C23, 90C26 We present methods that provide all zeroes and extrema of a function that do not require differentiation. Using point process theory, we are able to describe the locations of zeroes or maxima, their number, as well as their distribution over a given window of observation. The algorithms in order to accomplish the theoretical development are also provided, and they are exemplified using many illustrative examples, for real and complex functions. |
| title | Zeroes and Extrema of Functions via Random Measures |
| topic | Methodology Optimization and Control Computation Primary: 60G55, Secondary: 90C23, 90C26 |
| url | https://arxiv.org/abs/2511.10293 |