Results 201 to 210 of about 43,945 (232)

Error-free transformations of matrix multiplication by using fast routines of matrix multiplication and its applications

Numerical Algorithms, 2011
The authors develop a fast and accurate method to evaluate matrix products error free. An error free splitting of floating point numbers with regards to number product is generalized to accurate dot products of vectors and error free matrix products.
Siegfried M Rump, Takeshi Ogita, Katsuhisa Ozaki   +2 more
exaly   +3 more sources

An empirical study of error-free transformations for enhancing mathematical function precision

CCF Transactions on High Performance Computing
Chun Huang, Xin Yi, Jie Shen
exaly   +2 more sources

Efficient Floating-Point Error Detection for Numerical Programs via Error-Free Transformations

2024 31st Asia-Pacific Software Engineering Conference (APSEC)
Xin Yi
exaly   +2 more sources

Blind Error-Free Detection of Transform-Domainwatermarks

2007 IEEE International Conference on Image Processing, 2007
In this paper we propose a new blind, error-free detection algorithm for watermarking in transform domains. The detection scheme uses linear decoding techniques from the theory of compressive sensing (CS), whose central idea is that a small number of non-adaptive linear projections of a sparse signal are sufficient for error-free reconstruction of the ...
Mona A. Sheikh, Richard G. Baraniuk
openaire   +1 more source

Error-Free Transformation in Rounding Mode toward Zero

2009
In this paper, we provide new error-free transformations for the sum and the product of two floating-point numbers. These error-free transformations are well suited for the CELL processor. We prove that these transformations are error-free, and we perform numerical experiments on the CELL processor comparing these new error-free transformations with ...
Stef Graillat, Jean Luc Lamotte, Diep Nguyen Hong   +2 more
openaire   +2 more sources

Error-free arithmetic for discrete wavelet transforms using algebraic integers

16th IEEE Symposium on Computer Arithmetic, 2003. Proceedings., 2004
A novel encoding scheme is introduced with applications to error-free computation of discrete wavelet transforms (DWT) based on Daubechies wavelets. The encoding scheme is based on an algebraic integer decomposition of the wavelet coefficients. This work is a continuation of our research into error-free computation of DCTs and IDCTs, and this extension
Khan A. Wahid, Vassil S. Dimitrov, Graham A. Jullien   +2 more
openaire   +1 more source

Error-Free Transformations in Real and Complex Floating Point Arithmetic

IEICE Proceeding Series, 2007
Error-free transformation is a concept that makes it possible to compute accurate results within a floating point arithmetic. Up to now, it has only be studied for real floating point arithmetic. In this short note, we recall the known error-free transformations for real arithmetic and we propose some new error-free transformations for complex floating
Graillat, Stef, Ménissier-Morain, Valérie   +1 more
openaire   +2 more sources

Fast and Error-Free Negacyclic Integer Convolution Using Extended Fourier Transform

2021
With the rise of lattice cryptography, (negacyclic) convolution has received increased attention. E.g., the NTRU scheme internally employs cyclic polynomial multiplication, which is equivalent to the standard convolution, on the other hand, many Ring-LWE-based cryptosystems perform negacyclic polynomial multiplication.
openaire   +2 more sources

Radiological image compression using error-free irreversible two-dimensional direct-cosine-transform coding techniques

Journal of the Optical Society of America A, 1987
Some error-free and irreversible two-dimensional direct-cosine-transform (2D-DCT) coding, image-compression techniques applied to radiological images are discussed in this paper. Run-length coding and Huffman coding are described, and examples are given for error-free image compression.
H K, Huang, S C, Lo, B K, Ho, S L, Lou
openaire   +2 more sources

Extension of accurate numerical algorithms for matrix multiplication based on error-free transformation

Japan Journal of Industrial and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Katsuhisa Ozaki, Daichi Mukunoki, Takeshi Ogita   +2 more
openaire   +2 more sources