Results 11 to 20 of about 8,652,887 (279)

Effective Condition Number Bounds for Convex Regularization [PDF]

open access: yes, 2019
We derive bounds relating Renegar's condition number to quantities that govern the statistical performance of convex regularization in settings that include the $\ell_1$-analysis setting.
Amelunxen, Dennis   +2 more
core   +3 more sources

Numerical Experiments of the Dual Null Field Method for Dirichlet Problems of Laplace’s Equation in Elliptic Domains with Elliptic Holes

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2022
Dual techniques have been used in many engineering papers to deal with singularity and ill-conditioning of the boundary element method (BEM). In the first part of the two-part article, our efforts were focused on studying the theoretical aspects of this ...
Zi-Cai Li   +4 more
doaj   +1 more source

Structured Eigenvalue Condition Numbers [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2006
This paper investigates the effect of structure-preserving perturbations on the eigenvalues of linearly and nonlinearly structured eigenvalue problems. Particular attention is paid to structures that form Jordan algebras, Lie algebras, and automorphism groups of a scalar product.
Karow, Michael   +2 more
openaire   +1 more source

Task Location to Improve Human–Robot Cooperation: A Condition Number-Based Approach

open access: yesAutomation, 2023
This paper proposes and implements an approach to evaluate human–robot cooperation aimed at achieving high performance. Both the human arm and the manipulator are modeled as a closed kinematic chain.
Abdel-Nasser Sharkawy
doaj   +1 more source

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 ...
Maréchal, Pierre, Ye, Jane
openaire   +3 more sources

Convexity properties of the condition number II [PDF]

open access: yes, 2012
In our previous paper [SIMAX 31 n.3 1491-1506(2010)], we studied the condition metric in the space of maximal rank matrices. Here, we show that this condition metric induces a Lipschitz-Riemann structure on that space.
Carlos Beltrán   +7 more
core   +4 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 condition number for the tensor rank decomposition [PDF]

open access: yes, 2016
The tensor rank decomposition problem consists of recovering the unique set of parameters representing a robustly identifiable low-rank tensor when the coordinate representation of the tensor is presented as input.
Vannieuwenhoven, Nick
core   +2 more sources

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

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