Results 21 to 30 of about 27,076 (290)

Models of Computer Calculations

Кібернетика та комп'ютерні технології, 2022
Introduction. The complexity of computational algorithms for solving typical problems of computational, applied, and discrete mathematics is analyzed from the perspective of the theory of computation, depending on the computer architecture and the used ...
Valerii Zadiraka, Oleksandr Khimich, Inna Shvidchenko   +2 more
doaj   +1 more source

Parallel Algorithm for Solving Overdetermined Systems of Linear Equations, Taking into Account Round-Off Errors

Algorithms, 2023
The paper proposes a parallel algorithm for solving large overdetermined systems of linear algebraic equations with a dense matrix. This algorithm is based on the use of a modification of the conjugate gradient method, which is able to take into account ...
Dmitry Lukyanenko
doaj   +1 more source

Symmetric and Asymmetric Rounding [PDF]

, 2006
If rounded data are used in estimating moments and regression coefficients, the estimates are typically more or less biased. The purpose of the paper is to study the bias inducing effect of rounding, which is also seen when population moments instead of ...
Ahmad, A. S., Komlos, John, Ahmad, A., Schneeweiß, Hans   +3 more
core   +1 more source

A quantitative probabilistic investigation into the accumulation of rounding errors in numerical ODE solution. [PDF]

, 2009
We examine numerical rounding errors of some deterministic solvers for systems of ordinary differential equations (ODEs) from a probabilistic viewpoint. We show that the accumulation of rounding errors results in a solution which is inherently random and
Turner, Amanda G., Turner, Amanda, Mosbach, Sebastian   +2 more
core   +1 more source

Error Analysis of Band Matrix Method [PDF]

, 1984
Numerical error in the solution of the band matrix method based on the elimination method in single precision is investigated theoretically and experimentally, and the behaviour of the truncation error and the roundoff error is clarified.
Taniguchi, Takeo, Soga, Akira
core   +1 more source

Goldilocks Rounding: Achieving Balance Between Accuracy and Parsimony in the Reporting of Relative Effect Estimates

Cancer Informatics, 2021
Researchers often report a measure to several decimal places more than what is sensible or realistic. Rounding involves replacing a number with a value of lesser accuracy while minimizing the practical loss of validity.
Jimmy T Efird
doaj   +1 more source

Respondent behavior and data quality aspects in panel surveys : four empirical contributions [PDF]

, 2006
The four essays of this dissertation provide a number of new and unique insights on diverse issues of respondent behavior and aspects of data quality in surveys.
Serfling, Oliver
core   +1 more source

Discretization vs. rounding error in Euler's method [PDF]

, 2011
The article of record as published may be located at http://dx.doi.org/10.4169/college.math.j.42.5.399Euler’s method for solving initial value problems is a good vehicle for observing the relationship between discretization error and rounding error in ...
Carlos F. Borges, Borges, Carlos F.
core   +1 more source

Probabilistic Rounding Error Analysis of Householder QR Factorization [PDF]

, 2022
When an $m\times n$ matrix is premultiplied by a product of $n$ Householder matrices the worst-case normwise rounding error bound is proportional to $mnu$, where $u$ is the unit roundoff.
Connolly, Michael P., Higham, Nicholas J.   +1 more
core   +5 more sources

Divisions and Square Roots with Tight Error Analysis from Newton–Raphson Iteration in Secure Fixed-Point Arithmetic

Cryptography, 2023
In this paper, we present new variants of Newton–Raphson-based protocols for the secure computation of the reciprocal and the (reciprocal) square root.
Stan Korzilius, Berry Schoenmakers
doaj   +1 more source