Speed vs. efficiency: A framework for high-frequency trading algorithms on FPGA using Zynq SoC platform

Authors: Abbas M. Ali, Abdullah Shah, Angshuman Khan, Malik Umar Sharif, Zaka Ullah Zahid, Rabia Shahid, Tariqullah Jan, Mohammad Haseeb Zafar

Source: Alexandria Engineering Journal, Vol 96, Iss, Pp 1-14 (2024)

Subject Terms: Parallel computing, Cryptocurrencies, Social Sciences, Management Science and Operations Research, 7. Clean energy, System-on-Chip, Decision Sciences, HW/SW co-design, Artificial Intelligence, Computer architecture, Floating-Point Arithmetic in Scientific Computation, Embedded system, High-frequency trading, System on a chip, Predicting Stock Market Trends and Movements, Neural Network Fundamentals and Applications, Engineering (General). Civil engineering (General), Computer science, Field-programmable gate array, Algorithm, Technical indicators, Computational Theory and Mathematics, Xilinx Zynq-7000, Computer Science, Physical Sciences, TA1-2040

Access URL: https://doaj.org/article/5ebb1edb2cba4c32940e111990de78ac

Noise generator by free FPGA technology

Authors: Alfredo Cortez, Zulay Franco, José Antonio Muci Borjas

Source: Universidad Ciencia y Tecnología. 27:64-73

Subject Terms: MATLAB, Geometry, White noise, Random number generation, Gaussian noise, Quantum mechanics, Artificial Intelligence, Fast Fourier transform, Additive white Gaussian noise, FOS: Mathematics, Floating-Point Arithmetic in Scientific Computation, Theoretical and Computational Physics, Physics, Statistical and Nonlinear Physics, Computer hardware, FPGA Acceleration, Computer science, Field-programmable gate array, Algorithm, Operating system, Computational Theory and Mathematics, Physics and Astronomy, Application of Genetic Programming in Machine Learning, Computer Science, Physical Sciences, Gaussian, Telecommunications, Block (permutation group theory), Mathematics

A new optimal root-finding iterative algorithm: local and semilocal analysis with polynomiography

Authors: Sania Qureshi, Ioannis K. Argyros, Amanullah Soomro, Krzysztof Gdawiec, Asif Ali Shaikh, Evren Hınçal

Source: Numerical Algorithms. 95:1715-1745

Subject Terms: Composite material, Convex Optimization, Evolutionary biology, 02 engineering and technology, 01 natural sciences, Polynomial, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, Higher-Order Methods, Range (aeronautics), 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Root (linguistics), 0101 mathematics, Floating-Point Arithmetic in Scientific Computation, Biology, Theory of computation, Numerical Analysis, Numerical Optimization Techniques, Semidefinite Programming, Physics, 4. Education, Mathematical optimization, Linguistics, Computer science, Iterative method, Materials science, FOS: Philosophy, ethics and religion, Algorithm, Philosophy, Iterative refinement, Computational Theory and Mathematics, Root-finding algorithm, Function (biology), Physical Sciences, Computer Science, Derivative-Free Optimization, Nonlinear system, FOS: Languages and literature, Iterative Methods, Mathematics

Graphical and Numerical Study of a Newly Developed Root-Finding Algorithm and Its Engineering Applications

Authors: Amir Naseem, M. A. Rehman, Sania Qureshi, Nasr Al Din Ide

Source: IEEE Access, Vol 11, Pp 2375-2383 (2023)

Subject Terms: 0209 industrial biotechnology, Halley's scheme, Economics, Quintic function, Computational Mechanics, 02 engineering and technology, non-linearity, Quantum mechanics, convergence-order, Convergence Analysis of Iterative Methods for Nonlinear Equations, Higher-Order Methods, Engineering, FOS: Mathematics, Root (linguistics), 0202 electrical engineering, electronic engineering, information engineering, Isogeometric Analysis in Computational Engineering, Floating-Point Arithmetic in Scientific Computation, Economic growth, Accuracy-Guaranteed Bit-Width Optimization, Numerical Analysis, Computer network, Physics, Mathematical optimization, Linguistics, Derivative-Free Methods, Rate of convergence, dynamical aspects, Computer science, TK1-9971, FOS: Philosophy, ethics and religion, Computational algorithms, Algorithm, Philosophy, Computational Theory and Mathematics, Root-finding algorithm, Channel (broadcasting), Physical Sciences, Computer Science, Convergence (economics), FOS: Languages and literature, Nonlinear system, Electrical engineering. Electronics. Nuclear engineering, Iterative Methods, Mathematics

Access URL: https://doaj.org/article/34c21ddc15c3400aade1e358a540391f

A class of new search directions for full-NT step feasible interior point method in semidefinite optimization

Authors: Loubna Guerra

Source: RAIRO - Operations Research. 56:3955-3971

Subject Terms: Artificial intelligence, Class (philosophy), Convex Optimization, Economics, 0211 other engineering and technologies, Geometry, 02 engineering and technology, 01 natural sciences, Interior-Point Methods, Point (geometry), 0103 physical sciences, FOS: Mathematics, Interior point method, Semidefinite programming, Optimization problem, Floating-Point Arithmetic in Scientific Computation, Order (exchange), Matrix Algorithms and Iterative Methods, Numerical Analysis, Global Optimization, Numerical Optimization Techniques, Semidefinite Programming, 4. Education, Mathematical optimization, Path (computing), 16. Peace & justice, Computer science, Programming language, Algorithm, Computational Theory and Mathematics, Combinatorics, Physical Sciences, Computer Science, Derivative-Free Optimization, Mathematics, Finance

Univariate rational sums of squares

Authors: Teresa Krick, Bernard Mourrain, Ágnes Szántó

Contributors: Mourrain, Bernard

Source: Revista de la Unión Matemática Argentina. :215-237

Subject Terms: Sum of Squares, Computational Mechanics, Symbolic Computing in Algebraic Geometry and Cryptography, 0102 computer and information sciences, Polynomial, Mathematical analysis, 01 natural sciences, Mathematics - Algebraic Geometry, Engineering, Prime (order theory), Univariate, FOS: Mathematics, Modulo, Positive polynomials, Convex cone, 0101 mathematics, Floating-Point Arithmetic in Scientific Computation, Isogeometric Analysis in Computational Engineering, Algebraic Geometry (math.AG), Exact computation, Arithmetic, Multivariate Polynomials, Zero (linguistics), Statistics, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], Rational function, Pure mathematics, Linguistics, Discrete mathematics, Multivariate statistics, FOS: Philosophy, ethics and religion, Semi-Definite Matrix, Certificate, Philosophy, Real roots, Computational Theory and Mathematics, Explained sum of squares, Combinatorics, Computer Science, Physical Sciences, FOS: Languages and literature, Mathematics

File Description: application/pdf

Access URL: http://arxiv.org/abs/2112.00490
https://hal.science/hal-03442193v2/document
https://doi.org/10.33044/revuma.2904
https://hal.science/hal-03442193v2

A comparison between Fukushima-Halley algorithm and Trilateration algorithm for geodetic conversion

Authors: Mohamed Eleiche

Source: Earth Science Informatics. 15:1087-1100

Subject Terms: Aerospace Engineering, FOS: Mechanical engineering, Geometry, Trilateration, 02 engineering and technology, Oceanography, Triangulation, 01 natural sciences, Geodetic Measurements, Engineering, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics, Floating-Point Arithmetic in Scientific Computation, Global Sea Level Variability and Change, Geology, FOS: Earth and related environmental sciences, Computer science, Earth and Planetary Sciences, Algorithm, Cartesian coordinate system, Computational Theory and Mathematics, Physical Sciences, Computer Science, Geodetic datum, Inertial Navigation Systems and Sensor Fusion Techniques, Benchmark (surveying), Mathematics, Geodesy

The explicit formula for Gauss-Jordan elimination applied to flexible systems

Authors: Nam Van Tran, Júlia Justino, Imme van den Berg

Contributors: Repositório Comum

Source: Special Matrices, Vol 10, Iss 1, Pp 366-393 (2022)

Subject Terms: Composite material, Matrix (chemical analysis), Geometry, Flexible systems, Applications of Generalized Functions in Mathematics and Physics, 03h05, 0102 computer and information sciences, Quantum mechanics, 01 natural sciences, 15b33, Theoretical Computer Science, Coefficient matrix, external numbers, Machine learning, QA1-939, FOS: Mathematics, 0101 mathematics, Floating-Point Arithmetic in Scientific Computation, Scalar (mathematics), Stability (learning theory), Mathematical Physics, Eigenvalues and eigenvectors, 15a06, gauss-jordan elimination, Nonlinear Models, Physics, FOS: Clinical medicine, stability, Applied mathematics, Computer science, Materials science, Regular polygon, History of Mathematics in Education and Research, External numbers, Computational Theory and Mathematics, flexible systems, Dentistry, Physical Sciences, Computer Science, Gauss, Gaussian, Gaussian elimination, Medicine, Calculus (dental), Gauss-Jordan elimination, Stability, Mathematics, 65g99

File Description: application/pdf

Access URL: https://doaj.org/article/dd40d5dec3724b8cba60a88dafeda13d
https://hdl.handle.net/10400.26/41075

An Interpretation of Long Short-Term Memory Recurrent Neural Network for Approximating Roots of Polynomials

Authors: Madiha Bukhsh, Muhammad Saqib Ali, Muhammad Usman Ashraf, Khalid Alsubhi, Weiqiu Chen

Source: IEEE Access, Vol 10, Pp 28194-28205 (2022)

Subject Terms: Function Approximation, Backpropagation Learning, Artificial neural network, Artificial intelligence, Economics, Recurrent neural network, 02 engineering and technology, Polynomial, Mathematical analysis, Artificial Intelligence, Machine learning, Long short-term memory, Univariate, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Model Reduction, Floating-Point Arithmetic in Scientific Computation, Recurrent Neural Networks, Interval Analysis, Economic growth, Feedforward neural network, Physics-Informed Neural Networks for Scientific Computing, 4. Education, Statistics, deep neural network, Statistical and Nonlinear Physics, Neural Network Fundamentals and Applications, Computer science, Multivariate statistics, TK1-9971, Algorithm, Computational Theory and Mathematics, Physics and Astronomy, adaptive moment estimation algorithm, Computer Science, Physical Sciences, Convergence (economics), Mean squared error, recurrent neural network, Electrical engineering. Electronics. Nuclear engineering, error cost function, Mathematics

Access URL: https://doaj.org/article/6b3f2f9e59274845993cefaeb332da64

A Novel Root-Finding Algorithm With Engineering Applications and its Dynamics via Computer Technology

Authors: Amir Naseem, M. A. Rehman, Thabet Abdeljawad

Source: IEEE Access, Vol 10, Pp 19677-19684 (2022)

Subject Terms: 0209 industrial biotechnology, Economics, Computational Mechanics, High-Precision Computation, 02 engineering and technology, Structural Analysis, Quantum mechanics, non-linear equations, Convergence Analysis of Iterative Methods for Nonlinear Equations, Higher-Order Methods, Engineering, Computer security, Househölder's method, polynomiography, FOS: Mathematics, Root (linguistics), 0202 electrical engineering, electronic engineering, information engineering, Isogeometric Analysis in Computational Engineering, Floating-Point Arithmetic in Scientific Computation, Key (lock), Economic growth, Quartic function, Numerical Analysis, Physics, Mathematical optimization, Traub's method, Pure mathematics, Linguistics, Derivative-Free Methods, Rate of convergence, Computer science, Iterative method, TK1-9971, FOS: Philosophy, ethics and religion, Algorithm, Philosophy, Computational Theory and Mathematics, Root-finding algorithm, Order of convergence, Physical Sciences, Computer Science, Convergence (economics), Nonlinear system, FOS: Languages and literature, Electrical engineering. Electronics. Nuclear engineering, Correctness, Iterative Methods, Mathematics

Access URL: https://ieeexplore.ieee.org/ielx7/6287639/6514899/09709846.pdf
https://doaj.org/article/9d76e6ffb0214913b245401faba2d498

The Factorial Phenomenon: Unraveling the Mysteries of Finite Differences in Polynomials

Authors: Mahatir Ahmed Tusher, Shah Parth Mukeshbhai

Subject Terms: Economics, FOS: Political science, Symbolic Computing in Algebraic Geometry and Cryptography, FOS: Law, Polynomial, Mathematical analysis, Value (mathematics), Factorial, FOS: Mathematics, Genetics, Floating-Point Arithmetic in Scientific Computation, Degree (music), Political science, Biology, Order (exchange), Exponent, Physics, 4. Education, Polynomial Systems, Statistics, Pure mathematics, Finite field, Linguistics, Acoustics, Discrete mathematics, Statement (logic), Computer science, FOS: Philosophy, ethics and religion, Programming language, Philosophy, Computational Theory and Mathematics, Combinatorics, FOS: Biological sciences, Computer Science, Physical Sciences, FOS: Languages and literature, Law, Mathematics, Finance, Sequence (biology), Constant (computer programming)

Implementation of Booth Multiplier Algorithm using Radix-4 in FPGA

Authors: Abdul Halim Mokhtar, Chew Sue Ping, Muhamad Faiz Md Din, Nazrul Fariq Makmor, Muhammad Asyraf Che Mahadi

Source: Jurnal Kejuruteraan. :161-165

Subject Terms: Parallel computing, Economics, Macroeconomics, Latency (audio), Engineering, Artificial Intelligence, Quantum Computing and Simulation, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Electrical and Electronic Engineering, Floating-Point Arithmetic in Scientific Computation, Arithmetic, Computer hardware, Low-Power VLSI Circuit Design and Optimization, FPGA Acceleration, Digital signal processing, Computer science, Verilog, Field-programmable gate array, Algorithm, Computational Theory and Mathematics, Adder, Physical Sciences, Computer Science, Telecommunications, Multiplier (economics), Booth's multiplication algorithm, Binary number, Mathematics

Analysis of Existing and Proposed 3-Bit and Multi-Bit Multiplier Algorithms for FIR Filters and Adaptive Channel Equalizers on FPGA

Authors: Aneela Pathan, Tayab Din Memon, Fareesa K. Sohu, Muhammad Awais Rajput

Source: Quaid-e-Awam University Research Journal of Engineering Science & Technology. 19:81-89

Subject Terms: Parallel computing, Economics, Multiplication (music), Macroeconomics, Multiplierless Algorithms, FIR Filters, Latency (audio), 7. Clean energy, Engineering, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Electrical and Electronic Engineering, Floating-Point Arithmetic in Scientific Computation, Advanced Techniques in Digital Signal Processing, Accuracy-Guaranteed Bit-Width Optimization, Arithmetic, Computer hardware, Finite impulse response, Low-Power VLSI Circuit Design and Optimization, Lookup table, FPGA Acceleration, Digital signal processing, Hardware Implementations, Computer science, 16-bit, Field-programmable gate array, Programming language, Algorithm, Computational Theory and Mathematics, Adder, Combinatorics, Computer Science, Physical Sciences, Signal Processing, Telecommunications, Multiplier (economics), Booth's multiplication algorithm, Mathematics

Access URL: http://publications.quest.edu.pk/ojs-3.1.1-4/index.php/qrj/article/download/278/106
http://publications.quest.edu.pk/ojs-3.1.1-4/index.php/qrj/article/download/278/106
http://publications.quest.edu.pk/ojs-3.1.1-4/index.php/qrj/article/view/278

A new perspective on teaching the natural exponential to engineering students

Authors: Mukhtar Ullah, Muhammad Naveed Aman, Olaf Wolkenhauer, Jamshed Iqbal

Contributors: ELECTRICAL AND COMPUTER ENGINEERING

Source: International Journal of Mathematical Education in Science and Technology. 53:1650-1663

Subject Terms: Applications of Generalized Functions in Mathematics and Physics, Euler's formula, Mathematical analysis, 01 natural sciences, 7. Clean energy, Theoretical Computer Science, Exponential formula, FOS: Mathematics, Mathematics Education, Logarithm, 0101 mathematics, Floating-Point Arithmetic in Scientific Computation, Mathematical Physics, Interpretation (philosophy), Algebra over a field, FOS: Clinical medicine, 4. Education, Exponential function, Pure mathematics, Power series, Limit (mathematics), Applied mathematics, Computer science, Double exponential function, Programming language, History of Mathematics in Education and Research, Computational Theory and Mathematics, Dentistry, Physical Sciences, Computer Science, Medicine, Logarithmic function, Calculus (dental), Ordinary differential equations, Mathematics

Access URL: https://www.tandfonline.com/doi/full/10.1080/0020739X.2021.1896812

Testing Interval Arithmetic Libraries, Including Their IEEE-1788 Compliance

Authors: Nathalie Revol, Luis Benet, Luca Ferranti, Sergei Zhilin

Contributors: Revol, Nathalie

Source: Lecture Notes in Computer Science ISBN: 9783031304446

Subject Terms: Interval (graph theory), Economics, Test (biology), 0102 computer and information sciences, Unit testing, 01 natural sciences, Mathematical analysis, Bounded function, Engineering, Unit tests for interval arithmetic libraries, FOS: Electrical engineering, electronic engineering, information engineering, Parallel Computing and Performance Optimization, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Electrical and Electronic Engineering, Floating-Point Arithmetic in Scientific Computation, Interval Uncertainty, Biology, Interval Analysis, Order (exchange), Test cases for interval arithmetic, Arithmetic, Unit (ring theory), Paleontology, Numerical Analysis (math.NA), Low-Power VLSI Circuit Design and Optimization, Discrete mathematics, Computer science, Mathematics education, Unit interval, Programming language, Computational Theory and Mathematics, Hardware and Architecture, Combinatorics, [INFO.INFO-NA] Computer Science [cs]/Numerical Analysis [cs.NA], Computer Science, Physical Sciences, Interval arithmetic, [INFO.INFO-AO] Computer Science [cs]/Computer Arithmetic, Testing IEEE 1788-2015 compliance, Mathematics, Software, Finance

File Description: application/pdf

Access URL: http://arxiv.org/abs/2205.11837
https://inria.hal.science/hal-03674743v1/document
https://inria.hal.science/hal-03674743v1
https://doi.org/10.1007/978-3-031-30445-3_36

Two global quasi-Newton algorithms for solving matrix polynomial equations

Authors: Eduard Mauricio Macías Caicedo, R.B. Perez, Héctor Jairo Martínez

Source: Computational and Applied Mathematics. 42

Subject Terms: Composite material, Economics, Matrix (chemical analysis), Evolutionary biology, Polynomial, Mathematical analysis, Quantum mechanics, 01 natural sciences, Computer security, FOS: Mathematics, 0101 mathematics, Floating-Point Arithmetic in Scientific Computation, Key (lock), Biology, Economic growth, Matrix Algorithms and Iterative Methods, Numerical Analysis, Global Optimization, Numerical Optimization Techniques, Physics, 4. Education, Path (computing), Rate of convergence, Applied mathematics, Computer science, Materials science, Programming language, Algorithm, Line search, Newton's method, Computational Theory and Mathematics, Function (biology), Computer Science, Physical Sciences, Convergence (economics), Nonlinear system, Mathematics, Matrix Computations

A framework to test interval arithmetic libraries and their IEEE 1788‐2015 compliance

Authors: Benet, Luis, Ferranti, Luca, Revol, Nathalie

Contributors: Guha, Kumar, fi=Vaasan yliopisto|en=University of Vaasa, orcid:0000-0001-5588-0920, Digital Economy

Source: Concurrency and Computation: Practice and Experience. 36

Subject Terms: FOS: Computer and information sciences, Interval (graph theory), G.0, Economics, Test (biology), Set (abstract data type), [INFO] Computer Science [cs], test cases for interval arithmetic, Mathematical analysis, Listing (finance), Bounded function, Artificial Intelligence, Machine learning, Parallel Computing and Performance Optimization, FOS: Mathematics, Scan Testing, Floating-Point Arithmetic in Scientific Computation, Interval Uncertainty, Biology, Interval Analysis, 65G99, ta113, Test Access Architecture, Arithmetic, testing IEEE 1788-2015 compliance, ta111, Test suite, Paleontology, Neural Network Fundamentals and Applications, Discrete mathematics, Computer science, Unit interval, Programming language, [INFO.INFO-MS] Computer Science [cs]/Mathematical Software [cs.MS], Computational Theory and Mathematics, Hardware and Architecture, Combinatorics, Computer Science, Physical Sciences, Interval arithmetic, unit tests for interval arithmetic libraries, Computer Science - Mathematical Software, Test case, Mathematical Software (cs.MS), Very Large Scale Integration Testing, Regression analysis, Mathematics, Finance

File Description: application/pdf; fi=kokoteksti; en=fulltext; true

Access URL: http://arxiv.org/abs/2307.06953
http://juuli.fi/Record/0676775023
https://doi.org/10.1002/cpe.7856
https://hal.science/hal-04183957v1/document
https://hal.science/hal-04183957v1
https://doi.org/10.1002/cpe.7856

Exploring the linear space of Feynman integrals via generating functions

Authors: Xin Guan, Xiang Li, Yan-Qing Ma

Source: Physical Review

Subject Terms: High Energy Physics - Theory, Nuclear and High Energy Physics, FOS: Physical sciences, Geometry, Set (abstract data type), Space (punctuation), Mathematical analysis, High Energy Physics - Phenomenology (hep-ph), Differential equation, FOS: Mathematics, Particle Physics and High-Energy Collider Experiments, Floating-Point Arithmetic in Scientific Computation, Slater integrals, Feynman integral, Order of integration (calculus), Applied Mathematics, Feynman diagram, Applied mathematics, Computer science, Quaternionic Analysis and Applications, Programming language, High Energy Physics - Phenomenology, Operating system, High Energy Physics - Theory (hep-th), Computational Theory and Mathematics, Physics and Astronomy, Slice Regular Functions, Mathematical physics, Computer Science, Physical Sciences, Reduction (mathematics), Mathematics

Access URL: http://arxiv.org/abs/2306.02927

An optimizing technique for using MATLAB HDL coder

Authors: Somaya Kayed, Ghada Elsayed

Source: Bulletin of the National Research Centre, Vol 47, Iss 1, Pp 1-8 (2023)

Subject Terms: Parallel computing, MATLAB, Science, Biomedical Engineering, Chip, Set (abstract data type), 02 engineering and technology, FOS: Medical engineering, 7. Clean energy, Engineering, Computer engineering, Clock rate, 0202 electrical engineering, electronic engineering, information engineering, Computer Engineering, Floating-Point Arithmetic in Scientific Computation, Embedded system, FPGA, Matlab, Code (set theory), AES, Analog Circuit Design for Biomedical Applications, MATLAB HDL coder, Computer hardware, Electrical and Computer Engineering, Reconfigurable Computing Systems and Design Methods, Computer science, Field-programmable gate array, Programming language, HDL coder, Computational Theory and Mathematics, Hardware and Architecture, Computer Science, Physical Sciences, Security, Telecommunications

Access URL: https://doaj.org/article/bf774f0829ac4be1aa03258662ea7e0c

Quantum Circuit Optimization of Arithmeticcircuits using ZX Calculus

Authors: Aravind K. Joshi, Akshara Kairali, Ravi S. Raju, Adithya Athreya, Sanjay Vishwakarma, Suranjan Ganguly, Reena Monica P

Subject Terms: FOS: Computer and information sciences, Quantum Computation, Parallel computing, Economics, Macroeconomics, Computer Science - Emerging Technologies, FOS: Physical sciences, Geometry, Electronic circuit, Quantum mechanics, Quantum, Engineering, Artificial Intelligence, Computer engineering, Quantum Computing and Simulation, Quantum computer, FOS: Mathematics, Quantum Error Correction, Floating-Point Arithmetic in Scientific Computation, Quantum Physics, Fault-tolerant Quantum Computation, Physics, Fault tolerance, Computer science, Quantum Information and Computation, Distributed computing, Algorithm, Emerging Technologies (cs.ET), Computational Theory and Mathematics, Quantum Simulation, Electrical engineering, Computer Science, Physical Sciences, Computation, Reduction (mathematics), Qubit, Multiplier (economics), Quantum Physics (quant-ph), Mathematics

Access URL: http://arxiv.org/abs/2306.02264