Search Results - Numerical algorithms for computer arithmetic, etc

Global Convergence of Hessenberg Shifted QR II: Finite Arithmetic: Global convergence of Hessenberg shifted QR. II: Finite arithmetic

Authors: Jess Banks Jorge Garza-Vargas Nikhil Srivastava

Source: SIAM Journal on Matrix Analysis and Applications. 46:1168-1211

Subject Terms: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical algorithms for computer arithmetic, etc, shifted QR, numerical linear algebra, Ritz values, nonnormality, dynamical systems

File Description: application/xml

Retraction: The algorithmic numbers in non-archimedean numerical computing environments 'The status of this article has been Retraction: Discrete and Continuous Dynamical Systems - S, 18 (2025), 2063-2063, doi: 10.3934/dcdss.2025063': The algorithmic numbers in non-Archimedean numerical computing environments

Authors: Benci, Vieri Cococcioni, Marco

Source: Discrete and Continuous Dynamical Systems - S. 14:1673-1692

Subject Terms: fixed-length formats, 4. Education, Nonstandard models in mathematics, 02 engineering and technology, nonstandard analysis, Nonstandard analysis, 01 natural sciences, Infinitesimal numbers, Nonstandard Analysis, Euclidean numbers, Non-Archimedean Scientitic Computing, Fixed-length formats, Hardware-friendly Representations, Euclidean numbers, hardware-friendly representations, Numerical algorithms for computer arithmetic, etc, non-Archimedean scientific computing, 0202 electrical engineering, electronic engineering, information engineering, infinitesimal numbers, Non-Archimedean analysis, 0101 mathematics

File Description: application/xml

Access URL: https://www.aimsciences.org/article/exportPdf?id=0d97e516-efaa-407f-b95b-c7fc523eba84
https://zbmath.org/7439617
https://doi.org/10.3934/dcdss.2020449
https://www.aimsciences.org/article/exportPdf?id=0d97e516-efaa-407f-b95b-c7fc523eba84
https://www.aimsciences.org/article/doi/10.3934/dcdss.2020449

Taylor Polynomials in a High Arithmetic Precision as Universal Approximators.

Authors: Bakas, Nikolaos

Source: Computation; Mar2024, Vol. 12 Issue 3, p53, 15p

Subject Terms: TAYLOR'S series, ARITHMETIC, NUMERICAL differentiation, PARTIAL sums (Series), PARTIAL differential equations, INTERPOLATION algorithms, EXTRAPOLATION

Design of Improved Ancient Vedic Multiplier Using Verilog.

Authors: Kumar, S. Praveen Aravind, T. S., Gina

Source: Cuestiones de Fisioterapia; 2025, Vol. 54 Issue 4, p6314-6318, 5p

Subject Terms: DIGITAL signal processing, COPPER, COPROCESSORS, MULTIPLICATION, ARITHMETIC

A new architecture for a parallel finite field multiplier with low complexity based on composite fields: A new architecture for a parallel finite field multiplier with low complexity based on composite fields.

Authors: Christof Paar

Source: IEEE Transactions on Computers. 45:856-861

Subject Terms: polynomial multiplication, VLSI architecture, Numerical algorithms for computer arithmetic, etc, Hardware implementations of nonnumerical algorithms (VLSI algorithms, etc.), bit parallel multiplication, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Karatsuba Ofman algorithm, Mathematical problems of computer architecture

File Description: application/xml

Access URL: https://zbmath.org/1966814
https://doi.org/10.1109/12.508323

An Analysis of the Computational Complexity and Efficiency of Various Algorithms for Solving a Nonlinear Model of Radon Volumetric Activity with a Fractional Derivative of a Variable Order.

Authors: Tverdyi, Dmitrii

Source: Computation; Nov2025, Vol. 13 Issue 11, p252, 29p

Subject Terms: COMPUTATIONAL complexity, PARALLEL algorithms, FRACTIONAL calculus, CAUCHY problem, MATHEMATICAL optimization, NONLINEAR regression

On the numerical algorithms formulated in computer arithmetic.

Authors: Markov, Svetoslav

Source: 1983 IEEE 6th Symposium on Computer Arithmetic (ARITH); 1/ 1/1983, p82-85, 4p

Numerical Reproducibility and Parallel Computations: Issues for Interval Algorithms

Authors: Revol, Nathalie Théveny, Philippe Arithmetic and Computing (ARIC) et al.

Contributors: Revol, Nathalie Théveny, Philippe Arithmetic and Computing (ARIC) et al.

Source: ISSN: 0018-9340 ; IEEE Transactions on Computers ; https://inria.hal.science/hal-00916931 ; IEEE Transactions on Computers, 2014, 63 (8), pp.1915-1924. ⟨10.1109/TC.2014.2322593⟩.

Subject Terms: interval arithmetic, numerical reproducibility, parallel implementation, floating-point arithmetic, rounding mode, ACM: D.: Software/D.1: PROGRAMMING TECHNIQUES/D.1.3: Concurrent Programming, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.0: General, [INFO.INFO-AO]Computer Science [cs]/Computer Arithmetic, [INFO.INFO-DC]Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/1312.3300; ARXIV: 1312.3300

Availability: https://inria.hal.science/hal-00916931
https://inria.hal.science/hal-00916931v2/document
https://inria.hal.science/hal-00916931v2/file/Revol-Theveny-long-version.pdf
https://doi.org/10.1109/TC.2014.2322593

Binary Algorithm for Finding Prime Numbers on Segments of Large Dimensions

Source: Mathematical and computer modelling. Series: Physical and mathematical sciences; 2024: Mathematical and computer modelling. Series: Physical and mathematical sciences. Issue 25; 6-19; 6-19; 2308-5878; 10.32626/2308-5878.2024-25

Index Terms: info:eu-repo/semantics/article, info:eu-repo/semantics/publishedVersion

URL: http://mcm-math.kpnu.edu.ua/article/view/313241
http://mcm-math.kpnu.edu.ua/article/view/313241/304251
http://mcm-math.kpnu.edu.ua/article/view/313241/304251

Sieving Procedures on a Digital Computer: Sieving procedures on a digital computer

Authors: Marvin C. Wunderlich

Source: Journal of the ACM. 14:10-19

Subject Terms: Primality, sieve methods, Numerical algorithms for computer arithmetic, etc, sieving procedures, Factorization

File Description: application/xml

Access URL: https://dblp.uni-trier.de/db/journals/jacm/jacm14.html#Wunderlich67
https://dl.acm.org/doi/10.1145/321371.321373

Algorithms for Sparse Linear Systems

Authors: Jennifer Scott Miroslav Tůma

Resource Type: eBook.

Subjects: Sparse matrices, Linear systems, Algorithms

Categories: MATHEMATICS / Numerical Analysis, COMPUTERS / Computer Science, MATHEMATICS / Algebra / Linear, MATHEMATICS / Applied

Eye-tracking Working Memory Training in Children and Youth With Severe Cerebral Palsy

Contributors: Elegast Monbaliu, Professor

Source: Eye-tracking Working Memory Training in School-aged Children and Youth With Severe Cerebral Palsy

Program transformation for numerical precision

Authors: Matthieu Martel The Pennsylvania State University CiteSeerX Archives

Contributors: Matthieu Martel The Pennsylvania State University CiteSeerX Archives

Source: http://perso.univ-perp.fr/matthieu.martel/pepm09martel.pdf.

Subject Terms: Categories and Subject Descriptors D.2.4 [Software Engineer- ing, Program Verification—Validation, D.3.4 [Programming Lan- guages, Processors—Optimization, F.3.2 [Logics and Meaning of Programs, Semantics of Programming Languages—Program Analysis, G.1.0 [Mathematics of Computing, Numerical Analysis— Computer Arithmetic General Terms Algorithms, Languages, Theory, Verification Keywords Program Transformation, Numerical Precision, Ab- stract Interpretation, Compiler Optimizations, Floating-Point Num

File Description: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.519.5047

Availability: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.519.5047
http://perso.univ-perp.fr/matthieu.martel/pepm09martel.pdf

Image encryption algorithm based on hyperchaos and DNA coding.

Authors: Li, Lizong

Source: IET Image Processing (Wiley-Blackwell); 2/28/2024, Vol. 18 Issue 3, p627-649, 23p

Subject Terms: IMAGE encryption, SECURITY systems, IMAGING systems, DNA, ARITHMETIC

Analyses of Deterministic Parsing Algorithms.

Authors: Cohen, Jacques Roth, Martin S. Horning, J. J.

Source: Communications of the ACM. Jun78, Vol. 21 Issue 6, p448-458. 11p. 1 Diagram, 6 Graphs.

Subject Terms: *ALGORITHMS, *COMPUTER programming, *PROGRAMMING languages, PARSING (Computer grammar), COMPUTATIONAL linguistics, FORMAL languages

MODELING AND OPTIMIZING BLOOD SUPPLY CHAIN INVENTORY MANAGEMENT USING BEE COLONY AND GENETIC ALGORITHMS.

Authors: Abid, Mohammed Yadav, Ajay Singh

Source: Cuestiones de Fisioterapia; 2025, Vol. 54 Issue 2, p2068-2095, 28p

Subject Terms: BEES algorithm, SUPPLY chain management, INVENTORY control, BEE colonies, FORAGING behavior

Group carry asynchronous adder in digital computers

Authors: Yang, Si-zen Lee, Le

Subject Terms: Numerical algorithms for computer arithmetic, etc, numerical analysis

File Description: application/xml

Access URL: https://zbmath.org/3231586

Kontinuierliche Einschließung der Lösungsfunktion funktionaler und parameterabhängiger Probleme auf dem Computer

Authors: Kelch, R.

Subject Terms: computer arithmetic, numerical algorithms, interval arithmetic, Symbolic computation and algebraic computation, Software, source code, etc. for problems pertaining to numerical analysis

File Description: application/xml

Access URL: https://zbmath.org/4113984

Numerical Reproducibility and Parallel Computations: Issues for Interval Algorithms

Authors: Revol, Nathalie Théveny, Philippe

Index Terms: Mathematics - Numerical Analysis, Computer Science - Distributed, Parallel, and Cluster Computing, text

URL: http://arxiv.org/abs/1312.3300

A Multi-Strategy Improved Sooty Tern Optimization Algorithm for Concrete Dam Parameter Inversion.

Authors: Ma, Lin Ma, Fuheng Cao, Wenhan et al.

Source: Water (20734441); Jan2024, Vol. 16 Issue 1, p119, 20p

Subject Terms: OPTIMIZATION algorithms, CONCRETE dams, TERNS, ELASTIC modulus, STATISTICAL models, ARITHMETIC