NonlinearSystems.jl is a Julia package for solving nonlinear systems of equations and nonlinear least squares. It renovates well-trusted solution algorithms with highly performant and extensible ...
Black holes have long captured the imagination of both scientists and the general public. These exotic objects—once thought ...
Meta's work made headlines and raised a possibility once considered pure fantasy: that AI could soon outperform the world's best mathematicians by cracking math's marquee "unsolvable" problems en ...
Space telescopes are typically optimized either to study a small patch of the sky across many wavelengths of light or to ...
By partnering with artificial intelligence (AI), a researcher at the U.S. Department of Energy's (DOE) Brookhaven National Laboratory has solved a long-standing physics problem and uncovered the ...
Abstract: This article investigates a class of systems of nonlinear equations (SNEs). Three distributed neurodynamic models (DNMs), namely a two-layer model (DNM-I) and two single-layer models (DNM-II ...
Sven, a sales leader, received a call from a major customer who was furious. Their order arrived late, the product was damaged, and to top it off, their invoice didn’t reflect the volume discount ...
Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...
Masaki Kashiwara has won the 2025 Abel prize, sometimes called the Nobel prize of mathematics, for his work on algebraic analysis. Kashiwara, a professor at Kyoto University, Japan, received the award ...
This study introduced an efficient method for solving non-linear equations. Our approach enhances the traditional spectral conjugate gradient parameter, resulting in significant improvements in the ...
Dr. Kevin M. Passino was my doctoral research adviser at the Ohio State University, where I did my PhD. As a control systems researcher, I have long felt that control systems – and systems science in ...
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