Cover Image

Optimization of multidigit multiplication based on discrete transforms (Furie, cosine, sine) in parallel computational model

Saved in:

Bibliographic Details
Date:	2022
Main Authors:	V. K. Zadiraka, A. M. Tereshchenko
Format:	Article
Language:	English
Published:	2022
Series:	Cybernetics and Systems Analysis
Online Access:	http://jnas.nbuv.gov.ua/article/UJRN-0001335527
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Library portal of National Academy of Sciences of Ukraine \| LibNAS

Institution

Library portal of National Academy of Sciences of Ukraine | LibNAS

Similar Items

Implementation of Multidigit Multiplication Basing on Discrete Cosine and Sine Transforms
by: A. M. Tereshchenko, et al.
Published: (2021)

Complexity analysis of multidigit multiplication operation for implementtation in parallel computational model
by: Tereshchenko, A.N.
Published: (2017)

Calculating the sum of multidigit values in a parallel computational model
by: V. K. Zadiraka, et al.
Published: (2022)

Fast proceeding of cyclic convolution of multidigit values based on FFT in parallel computational model
by: A. M. Tereshchenko, et al.
Published: (2016)

Parallel methods of representing multidigit numbers in numeral systems for testing multidigit operations
by: V. K. Zadiraka, et al.
Published: (2022)

Eigenfunctions of the Cosine and Sine Transforms
by: V. Katsnelson
Published: (2013)

Eigenfunctions of the Cosine and Sine Transforms
by: Katsnelson, V.
Published: (2013)

Discrete cosine-sine transform type VII and fast integer transforms for intra-prediction images and video coding
by: L. O. Hnativ
Published: (2021)

Complexity analysis of computation of multi-digit multiplication operation in parallel model
by: A. N. Tereshchenko, et al.
Published: (2016)

On the polyconvolution for the Fourier cosine, Fourier sine, and Kontorovich–Lebedev integral transforms
by: Thao, N. X., et al.
Published: (2010)

Fourier cosine and sine transforms and generalized Lipschitz classes in uniform metric
by: Golubov, B. I., et al.
Published: (2012)

Mixed Stieltjes–Hilbert and Fourier Sine and Cosine Convolutions
by: Nguen, Suan Thao, et al.
Published: (2001)

Avoiding the bit-reversed ordering in parallel multi-digit multiplication based on FFT
by: A. Tereshchenko, et al.
Published: (2022)

Parallel addition based on vector operations
by: A. N. Tereshchenko, et al.
Published: (2018)

Method of structuring the Fourier discrete cosine transform in the modular arithmetic of the Haar-Krestenson theoretical-numerical basis
by: Ja. N. Nikolajchuk, et al.
Published: (2018)

Algorithms of paralleling calculations for vector problems discrete optimization
by: V. V. Semenov
Published: (2015)

Optimal algorithms for computing multiple integrals
by: B. Bandyrskii, et al.
Published: (2017)

On oscillating in oscillating system Furie-singularisnal force
by: Божко, A. Е.
Published: (2016)

On oscillating in oscillating system Furie-singularisnal force
by: Божко, A. Е.
Published: (2016)

On oscillating in oscillating system Furie-singularisnal force
by: A. E. Bozhko
Published: (2011)

Integer modified sine–cosine transforms type VII. A construction methodand separable directional adaptive transforms for intra prediction with 8x8 chroma blocks in image/video coding
by: L. O. Hnativ, et al.
Published: (2021)

Ultradiscrete sine-Gordon Equation over Symmetrized Max-Plus Algebra, and Noncommutative Discrete and Ultradiscrete sine-Gordon Equations
by: Kondo, K.
Published: (2013)

Complexity analysis of multi-digit multiplication operation based on Karatsuba method using different number of parallel processors
by: A. M. Tereshchenko
Published: (2015)

Integer cosine transforms for high-efficiency image and video coding
by: L. A. Gnativ
Published: (2016)

Optimisation of big N-width digits multiplication based on N-width DFT
by: Tereshchenko, A.N., et al.
Published: (2015)

Periodic travelling waves in discrete sine-Gordon equation on 2D—lattice
by: S. M. Bak
Published: (2013)

Optimizing Computational Performance with OpenMP Parallel Programming Techniques
by: V. V. Zosimov, et al.
Published: (2023)

On Methods of Controlling Optimization Software Packages with the Application of Parallel Computing
by: Aidazade, K.R., et al.
Published: (2017)

On Methods of Controlling Optimization Software Packages with the Application of Parallel Computing
by: Aidazade, Kamil, et al.
Published: (2017)

Parallel computing technologies for solving optimization problems of geometric design
by: Ye. Romanova, et al.
Published: (2019)

On Methods of Controlling Optimization Software Packages with the Application of Parallel Computing
by: K. R. Aidazade, et al.
Published: (2017)

Simple Integer Cosine Transform Order 16 for Coding Signals and Images
by: V. K. Luts
Published: (2014)

Sine-gordon transformations in nonequilibrium systems of Brownian particles
by: Skrypnik, V.I.
Published: (1997)

Sine-gordon transformations in nonequilibrium systems of Brownian particles
by: Skrypnik, W. I., et al.
Published: (1997)

Fast calculation of cyclic convolution of multi-digit values based FFT in a sequential computational model
by: A. M. Tereshchenko, et al.
Published: (2016)

Simple high-order integer cosine transform for high-resolution video coding
by: L. A. Gnativ
Published: (2018)

Method for calculating the parameters of phase transitions of discrete technological and information processes of strategic planning with parallelization of computations
by: Stepaniuk, M.Yu.
Published: (2025)

On the Fourier sine and Kontorovich–Lebedev generalized convolution transforms and applications
by: T. Tuan
Published: (2020)

On the Fourier sine and Kontorovich–Lebedev generalized convolution transforms and applications
by: Tuan , T., et al.
Published: (2020)

On an operator analog of the cosine addition theorem
by: Yu. S. Linchuk
Published: (2014)