Results 231 to 240 of about 72,021 (274)

Exact linearization of nonlinear differential algebraic systems

2001 International Conferences on Info-Tech and Info-Net. Proceedings (Cat. No.01EX479), 2002
Describes an approach of exact linearization for single input nonlinear differential algebraic systems in general. The nonlinear differential algebraic control system being considered is not in state variable form. Some new definitions of M derivative and M bracket that are similar to the definitions of classic differential geometric theory and some ...
null Jie Wang, null Chen Chen
openaire   +1 more source

A tutorial on automatic differentiation with complex numbers

arXiv.org
Automatic differentiation is everywhere, but there exists only minimal documentation of how it works in complex arithmetic beyond stating"derivatives in $\mathbb{C}^d$"$\cong$"derivatives in $\mathbb{R}^{2d}$"and, at best, shallow references to Wirtinger
Nicholas Krämer
semanticscholar   +1 more source

Identifiability of Linear Time-Invariant Differential-Algebraic Systems. 2. The Differential-Algebraic Approach

Industrial & Engineering Chemistry Research, 2004
A mathematical model is identifiable if and only if there is a unique relationship between each parameter value and the input−output behavior of the model.
Amos Ben-Zvi, P. James McLellan, Kim B. McAuley   +2 more
openaire   +1 more source

Characteristics of Linear Differential Operators Over Commutative Algebras

Acta Applicandae Mathematica, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Computing the regularization of a linear differential–algebraic system

Systems & Control Letters, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berger, Thomas, Van Dooren, Paul
openaire   +1 more source

Matrix Calculus (for Machine Learning and Beyond)

arXiv.org
This course, intended for undergraduates familiar with elementary calculus and linear algebra, introduces the extension of differential calculus to functions on more general vector spaces, such as functions that take as input a matrix and return a matrix
Paige Bright, Alan Edelman, S. G. Johnson   +2 more
semanticscholar   +1 more source

Hardware Acceleration for HPS Algorithms in Two and Three Dimensions

Journal of Computational Physics
We provide a flexible, open-source framework for hardware acceleration, namely massively-parallel execution on general-purpose graphics processing units (GPUs), applied to the hierarchical Poincar\'e--Steklov (HPS) family of algorithms for building fast ...
Owen Melia, Daniel Fortunato, Jeremy Hoskins, Rebecca Willett   +3 more
semanticscholar   +1 more source

Mathematical foundations of neural networks for modeling human cognition in AI systems

Journal of Interdisciplinary Mathematics
In this paper it examines the mathematical principles of the neural networks and how these can be applied to simulate the thoughts of people in computer systems that are expected to be intelligent.
S. Malwade, Santosh H. Lavate, P. Borkar, P. Jadhav   +3 more
semanticscholar   +1 more source

Spatial Approach to Cardiac Electrical Dynamics: Evaluation of Surrogate Biomarkers of Differences in Drug-Induced Multichannel Block.

Archives of Medical Research
BACKGROUND AND AIMS Torsade de Pointes (TdP), a side effect of many marketed drugs, can lead to sudden cardiac death. Regulatory guidelines require quantification of hERG channel block by QT interval prolongation on ECG, although its predictive value ...
P. Cruces, Pedro David Arini
semanticscholar   +1 more source

Numerical solution of linear differential-algebraic equations

Applied Mathematics and Computation, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources