- A convergence analysis of Lawson's iteration for computing polynomial and rational minimax approximations
2024/01/01 by Lei‐Hong Zhang, Zhang, Lei-Hong, Shanheng Han +1 · 2 citations
Mathematics · #41A20 #41A50 #65D15 #90C46 #Advanced Optimization Algorithms Research #Applied mathematics #Approximation theory #Combinatorics #Convergence (economics) #Equioscillation theorem #FOS: Mathematics #Gegenbauer polynomials #Iterative Methods for Nonlinear Equations #Iterative method #Mathematical Inequalities and Applications #Mathematical analysis #Mathematical optimization #Mathematics #Minimax #Minimax approximation algorithm #Monotonic function #Numerical Analysis (math.NA) #Orthogonal polynomials #Polynomial #Power iteration #Rational function
- Deep Neural Network Approximation Theory
2019/01/08 by Dennis Elbrachter, Dennis Elbrächter, Dmytro Perekrestenko +7 · 25 citations
Computer Science · Mathematics · #Applied mathematics #Approximation error #Approximation theory #Artificial intelligence #Artificial neural network #Class (philosophy) #Combinatorics #Computer science #Deep learning #Discrete mathematics #Exponential function #Fractal #Function (biology) #Function approximation #Image and Signal Denoising Methods #Mathematical Approximation and Integration #Mathematical analysis #Mathematics #Multiplication (music) #Neural Networks and Applications #Topology (electrical circuits)
- Practical Approximation of Single-Qubit Unitaries by Single-Qubit Quantum Clifford and T Circuits
2012/12/31 by Vadym Kliuchnikov, Dmitri Maslov, Michele Mosca · 14 citations
Computer Science · Physics and Astronomy · #Approximation error #Approximation theory #Electronic circuit #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum algorithm #Quantum circuit #Quantum computer #Quantum-Dot Cellular Automata #Scalability #cs.ET #quant-ph
- Factorization properties of chebyshev polynomials
2005/10/01 by Mohamed Omar Rayes, M.O. Rayes, Vilmar Trevisan +3 · 2 citations
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Algorithm #Approximation theory #Arithmetic #Cellular Automata and Applications #Chebyshev equation #Chebyshev filter #Chebyshev iteration #Chebyshev nodes #Chebyshev polynomials #Chebyshev pseudospectral method #Classical orthogonal polynomials #Coding theory and cryptography #Discrete mathematics #Factorization #Factorization of polynomials #Mathematical analysis #Mathematics #Matrix polynomial #Orthogonal polynomials #Polynomial #Pure mathematics #Remainder
- Chebyshev's approximation algorithms and applications
2001/02/01 by M.A. Hernández · 1 citation
Computer Science · Mathematics · #Applied mathematics #Approximation theory #Banach space #Chebyshev filter #Fractional Differential Equations Solutions #Integral equation #Iterative Methods for Nonlinear Equations #Mathematical analysis #Mathematics #Matrix Theory and Algorithms #Nonlinear system #Operator (biology) #Type (biology) #Uniqueness
- A robust approach for the derivation of closed-form Green's functions
1996/05/01 by M.I. Aksun · 2 citations
Physics and Astronomy · Engineering · Mathematics · #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #Non-Destructive Testing Techniques #Green S #Planar #Mathematics #Domain (mathematical analysis) #Approximation theory #Representation (politics) #Function (biology) #Transfer function #Green's function #Frequency domain #Component (thermodynamics) #Mathematical analysis #Topology (electrical circuits) #Computer science #Physics #Engineering #Combinatorics
- Near-minimax complex approximation by four kinds of Chebyshev polynomial expansion
1993/06/01 by J. C. Mason, J.C. Mason, Graham Elliott +1 · 1 citation
Mathematics · #Approximation Theory and Sequence Spaces #Approximation theory #Chebyshev nodes #Chebyshev polynomials #Combinatorics #Degree (music) #Ellipse #Geometry #Mathematical Inequalities and Applications #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Minimax #Minimax approximation algorithm #Polynomial
- Some properties and applications of Chebyshev polynomial and rational approximation
1984/01/01 by J. C. Mason, JC Mason · 1 citation
Mathematics · #Applied mathematics #Approximation theory #Chebyshev equation #Chebyshev filter #Chebyshev iteration #Chebyshev nodes #Chebyshev polynomials #Chebyshev pseudospectral method #Classical orthogonal polynomials #Elliptic rational functions #Equioscillation theorem #Fractional Differential Equations Solutions #Gegenbauer polynomials #Iterative Methods for Nonlinear Equations #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Orthogonal polynomials
- Numerical approximation of Fresnel integrals by means of Chebyshev polynomials
1967/01/01 by R. J. Hangelbroek · 1 citation
Mathematics · #Applied mathematics #Approximation theory #Chebyshev equation #Chebyshev filter #Chebyshev iteration #Chebyshev nodes #Chebyshev polynomials #Chebyshev pseudospectral method #Classical orthogonal polynomials #Equioscillation theorem #Fractional Differential Equations Solutions #Fresnel diffraction #Fresnel integral #Gegenbauer polynomials #Iterative Methods for Nonlinear Equations #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Optics #Orthogonal polynomials #Physics