Search Results - "COMPUTER arithmetic"

Enabling mixed-precision in spectral element codes

Authors: Chen, Yanxiang Castro, Pablo de Oliveira Bientinesi, Paolo et al.

Source: Future Generation Computer Systems. 174

Subject Terms: Mixed-precision, Computer arithmetic tool, Verificarlo, Roofline model, Conjugate gradient, Energy-to-solution, Neko

File Description: electronic

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-564289
https://doi.org/10.1016/j.future.2025.107990

Design of compressor-based multipliers using simulated annealing for arithmetic logic unit.

Authors: Pavitra, Y. J. Manikandan, J.

Source: Neural Computing & Applications. Nov2025, Vol. 37 Issue 33, p27747-27757. 11p.

Subject Terms: *SIMULATED annealing, *COMPUTER arithmetic, *ELECTRONIC circuit design, *MATHEMATICAL optimization, *TECHNICAL specifications, *FIELD programmable gate arrays

Logical Reverse Inference Realized by Combined Bits with Backhopping‐Like Current‐Induced Magnetization Switching.

Authors: Ren, Ruizhi Cao, Yi Zuo, Minggao et al.

Source: Advanced Functional Materials. 10/22/2025, Vol. 35 Issue 43, p1-8. 8p.

Subject Terms: *COMPUTER arithmetic, *DATA security, *CMOS logic circuits, *COMPUTER logic, *DATA recovery

Correctly-Rounded Evaluation of a Function: Why, How, and at What Cost?

Authors: Brisebarre, Nicolas Hanrot, Guillaume Muller, Jean-Michel et al.

Contributors: Brisebarre, Nicolas Hanrot, Guillaume Muller, Jean-Michel et al.

Source: ACM Computing Surveys. 58:1-34

Subject Terms: algorithmic number theory, standardization, elementary functions, floating-point arithmetic, LLL algorithm, lattice basis reduction, [INFO.INFO-AO] Computer Science [cs]/Computer Arithmetic, approximation theory, Computer arithmetic, Correct rounding, Table maker's dilemma

File Description: application/pdf

Hardware Fixed-Point 2D and 3D norms

Authors: Bouarah, Romain de Dinechin, Florent

Contributors: Bouarah, Romain de Dinechin, Florent

Source: 2025 IEEE 32nd Symposium on Computer Arithmetic (ARITH). :29-36

Subject Terms: fixed point, Euclidean norm, CORDIC, [INFO] Computer Science [cs], hardware operator, Computer arithmetic

File Description: application/pdf

Access URL: https://inria.hal.science/hal-04986776v1

Pygrossone: a python-powered library for operating with the infinity computer arithmetic.

Authors: Falcone, Alberto Garro, Alfredo Sergeyev, Yaroslav D.

Source: Soft Computing - A Fusion of Foundations, Methodologies & Applications. Apr2025, Vol. 29 Issue 8, p4175-4189. 15p.

Subject Terms: *COMPUTER arithmetic, *ARTIFICIAL intelligence, *SOFTWARE libraries (Computer programming), *SCIENTIFIC computing, *NUMERICAL differentiation

A new fixed-point simulation methodology for on-device AI based on large language models.

Authors: Kim, Jung-Woo Yoon, Seung-Hwan Kang, Dong-Kyeong et al.

Source: Journal of Systems Architecture. Nov2025, Vol. 168, pN.PAG-N.PAG. 1p.

Subject Terms: *ARTIFICIAL intelligence, *RESOURCE allocation, *MATHEMATICAL optimization, *SIMULATION methods & models, LANGUAGE models, COMPUTER arithmetic, SIGNAL quantization

Enabling mixed-precision with the help of tools: A Nekbone case study

Authors: Chen, Yanxiang de Oliveira Castro, Pablo Bientinesi, Paolo et al.

Source: eSSENCE - An eScience Collaboration Parallel Processing and Applied Mathematics Lecture Notes in Computer Science. :34-50

Subject Terms: Mixed-precision, computer arithmetic tool, Verificarlo, roofline model, Conjugate Gradient, Nekbone, energy-to-solution., Scientific Computing, Beräkningsvetenskap

File Description: electronic

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-546988
https://doi.org/10.48550/arXiv.2405.11065

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

On the accurate computation of the Newton form of the Lagrange interpolant.

Authors: Khiar, Y. Mainar, E. Royo-Amondarain, E. et al.

Source: Numerical Algorithms. Mar2025, Vol. 98 Issue 3, p1553-1573. 21p.

Subject Terms: *COMPUTER arithmetic, *MATRIX inversion, *INTERPOLATION algorithms, *MATRIX decomposition, *ACCURACY of information

Large-Number Optimization: Exact-Arithmetic Mathematical Programming with Integers and Fractions Beyond Any Bit Limits.

Authors: Kallrath, Josef

Source: Mathematics (2227-7390); Oct2025, Vol. 13 Issue 19, p3190, 40p

Subject Terms: MATHEMATICAL optimization, INTEGER programming, COMPUTER arithmetic, MATHEMATICAL sequences, MATHEMATICAL programming, APPLIED sciences, INTEGERS, SIMPLEX algorithm

Truncated QR Factorization with Pivoting in Mixed Precision: Truncated QR factorization with pivoting in mixed precision

Authors: Buttari, Alfredo Mary, Theo Pacteau, André

Contributors: Buttari, Alfredo Mary, Theo Pacteau, André

Source: SIAM Journal on Scientific Computing. 47:B382-B401

Subject Terms: mixed precision, [INFO.INFO-MS] Computer Science [cs]/Mathematical Software [cs.MS], Roundoff error, [INFO.INFO-NA] Computer Science [cs]/Numerical Analysis [cs.NA], Mixed-precision algorithms, low-rank approximations, QR factorization, Numerical methods for low-rank matrix approximation, matrix compression, [INFO.INFO-AO] Computer Science [cs]/Computer Arithmetic

File Description: application/xml; application/pdf

Comparison of reduced delay approximate multipliers using 4:2 compressors.

Authors: Reji, Manisha George, Merin Sarah James, Nithin et al.

Source: AIP Conference Proceedings. 2024, Vol. 3134 Issue 1, p1-10. 10p.

Subject Terms: *COMPUTER arithmetic, *NAND gates, *COMPUTER engineering, *LOGIC circuits, *COMPRESSORS

Orbits in lattices.

Authors: Dawes, Matthew¹ (AUTHOR) matthew.r.dawes@bath.edu

Source: Journal of Number Theory. Dec2024, Vol. 265, p181-207. 27p.

Subject Terms: *COMPUTER arithmetic, *MODULAR forms, *COMPUTER performance, *MODULAR arithmetic, *ORBITS (Astronomy)

Emulation of the FMA and the correctly-rounded sum of three numbers in rounding-to-nearest floating-point arithmetic

Authors: Graillat, Stef Muller, Jean-Michel

Contributors: Graillat, Stef Muller, Jean-Michel

Source: Numerische Mathematik.

Subject Terms: triple-word arithmetic, fused multiply-add, double-word arithmetic, Error-free transforms, FMA, Floating-point arithmetic, [INFO.INFO-AO] Computer Science [cs]/Computer Arithmetic, ADD3

File Description: application/pdf

Xvpfloat: RISC-V ISA Extension for Variable Extended Precision Floating Point Computation

Authors: Guthmuller, Eric Fuguet, César Bocco, Andrea et al.

Contributors: Guthmuller, Eric Fuguet, César Bocco, Andrea et al.

Source: IEEE Transactions on Computers

Subject Terms: [INFO.INFO-AR]Computer Science [cs]/Hardware Architecture [cs.AR], [INFO.INFO-AR] Computer Science [cs]/Hardware Architecture [cs.AR], [INFO.INFO-AO]Computer Science [cs]/Computer Arithmetic, [INFO.INFO-NA] Computer Science [cs]/Numerical Analysis [cs.NA], [INFO.INFO-AO] Computer Science [cs]/Computer Arithmetic, [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA], 7. Clean energy

File Description: application/pdf

Access URL: https://cea.hal.science/cea-04546949v1
https://doi.org/10.1109/tc.2024.3383964
https://cea.hal.science/cea-04546949v1/document

Leibniz on Binary: The Invention of Computer Arithmetic by Lloyd Strickland and Harry Lewis (review).

Authors: Mckee, Samuel (AUTHOR)

Source: Technology & Culture. Jan2025, Vol. 66 Issue 1, p294-296. 3p.

Subject Terms: *COMPUTER arithmetic, *MATHEMATICAL notation, *HISTORY of mathematics, *MANUSCRIPT collections, *CHRISTIANITY

Design and Fault Analysis of a Triple Modular Redundant ALU for Radiation-Tolerant FPGA Applications.

Authors: Tantepudi, James Judson

Source: International Journal of Environmental Sciences (2229-7359); 2025, Vol. 11 Issue 6, p3325-3336, 12p

Subject Terms: RADIATION tolerance, FAULT tolerance (Engineering), COMPUTER arithmetic, FIELD programmable gate arrays, FAULT trees (Reliability engineering), SOFT errors

Implementation Of QCA Logic Gates For The Design Of An ALU Based On QCA.

Authors: G., Rohini S., Nandhini Fahamitha, J. et al.

Source: International Journal of Environmental Sciences (2229-7359); 2025 Special Issue, Vol. 11, p1191-1199, 9p

Subject Terms: QUANTUM computing, QUANTUM dot devices, COMPUTER arithmetic, QUANTUM information science, LONG short-term memory, ELECTRIC inverters

Optimized Nanoscale Adder-Subtractor Design Architectures Utilizing Quantum Dot Cellular Automata.

Authors: Javeed Iqbal Reshi Farooq A Khanday M Tariq Banday

Source: Russian Microelectronics; Aug2025, Vol. 54 Issue 4, p400-426, 27p

Subject Terms: ENERGY dissipation, CIRCUIT complexity, SCALABILITY, COMPUTER arithmetic, CELLULAR automata, DIGITAL technology, MECHANICAL efficiency