Results 11 to 20 of about 2,788,589 (246)

Optimizing Condition Numbers

open access: yesSIAM Journal on Optimization, 2009
In this paper we study the problem of minimizing condition numbers over a compact convex subset of the cone of symmetric positive semidefinite $n\times n$ matrices. We show that the condition number is a Clarke regular strongly pseudoconvex function. We prove that a global solution of the problem can be approximated by an exact or an inexact solution ...
Pierre Maréchal, Jane J. Ye
openaire   +3 more sources

On the condition number of the Vandermonde matrix of the nth cyclotomic polynomial

open access: yesJournal of Mathematical Cryptology, 2020
Recently, Blanco-Chacón proved the equivalence between the Ring Learning With Errors and Polynomial Learning With Errors problems for some families of cyclotomic number fields by giving some upper bounds for the condition number Cond(Vn) of the ...
Scala Antonio J. Di   +2 more
doaj   +1 more source

A New Stiffness Performance Index: Volumetric Isotropy Index

open access: yesMachines, 2019
A new index for a precise calculation of a manipulator’s stiffness isotropy is introduced. The proposed index is compared with the conventionally used stiffness isotropy index by making use of the investigation on R-CUBE manipulator.
İbrahimcan Görgülü   +1 more
doaj   +1 more source

A General Condition Number for Polynomials [PDF]

open access: yesSIAM Journal on Numerical Analysis, 2013
This paper presents a generic condition number for polynomials that is useful for polynomial evaluation of a finite series of polynomial basis defined by means of a linear recurrence. This expression extends the classical one for the power and Bernstein bases, but it also provides us a general framework for all the families of orthogonal polynomials ...
Roberto Barrio   +2 more
openaire   +3 more sources

A Haar wavelet-based scheme for finding the control parameter in nonlinear inverse heat conduction equation

open access: yesOpen Physics, 2021
In this article, a hybrid Haar wavelet collocation method (HWCM) is proposed for the ill-posed inverse problem with unknown source control parameters. Applying numerical techniques to such problems is a challenging task due to the presence of nonlinear ...
Ahsan Muhammad   +6 more
doaj   +1 more source

Signal Conditioning for the Kalman Filter: Application to Satellite Attitude Estimation with Magnetometer and Sun Sensors

open access: yesSensors, 2016
Most satellites use an on-board attitude estimation system, based on available sensors. In the case of low-cost satellites, which are of increasing interest, it is usual to use magnetometers and Sun sensors.
Segundo Esteban   +3 more
doaj   +1 more source

Norms and inequalities for condition numbers [PDF]

open access: yesPacific Journal of Mathematics, 1965
Abstract : The condition number c sub phi of a nonsingular matrix A is defined by c sub phi (A) = phi (A) phi (A superscript -1) where ordinarily phi is a norm. It was shown by J. D. Riley that if A is positive definite, c sub phi (A + kI) = or 0 and phi squared (A) is the maximum eigenvalue of AA* or phi squared (A) = Tr AA*.
Marshall, Albert W., Olkin, Ingram
openaire   +2 more sources

Improving the condition number of estimated covariance matrices

open access: yesTellus: Series A, Dynamic Meteorology and Oceanography, 2020
High dimensional error covariance matrices and their inverses are used to weight the contribution of observation and background information in data assimilation procedures.
Jemima M. Tabeart   +4 more
doaj   +1 more source

Finding Nemo’s Giant Cousin: Keypoint Matching for Robust Re-Identification of Giant Sunfish

open access: yesJournal of Marine Science and Engineering, 2023
The Giant Sunfish (Mola alexandrini) has unique patterns on its body, which allow for individual identification. By continuously gathering and matching images, it is possible to monitor and track individuals across location and time.
Malte Pedersen   +2 more
doaj   +1 more source

A heuristic algorithm to combat outliers and multicollinearity in regression model analysis [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2022
As known, outliers and multicollinearity in the data set are among the important diffculties in regression models, which badly affect the leastsquares estimators. Under multicollinearity and outliers’ existence in the data set, the prediction performance
M. Roozbeh, S. Babaie-Kafaki, M. Manavi
doaj   +1 more source

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