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Convexity Properties of the Condition Number [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2010
This article was improved for readbility, following referee ...
Carlos Beltrán 0001   +3 more
openaire   +12 more sources

The Condition Number of Join Decompositions [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2018
The join set of a finite collection of smooth embedded submanifolds of a mutual vector space is defined as their Minkowski sum. Join decompositions generalize some ubiquitous decompositions in multilinear algebra, namely tensor rank, Waring, partially symmetric rank and block term decompositions.
Breiding, Paul, Vannieuwenhoven, Nick
openaire   +4 more sources

A Critical Evaluation and Modification of the Padé–Laplace Method for Deconvolution of Viscoelastic Spectra

open access: yesMolecules, 2021
This paper shows that using the Padé–Laplace (PL) method for deconvolution of multi-exponential functions (stress relaxation of polymers) can produce ill-conditioned systems of equations.
Siamak Shams Es-haghi   +1 more
doaj   +1 more source

APPLICATION OF THE LOCAL VARIATION METHOD FOR SOLVING FIRE SAFETY PROBLEMS OF OBJECTS OF PROTECTION [PDF]

open access: yesАктуальные вопросы пожарной безопасности, 2021
Application of the local variations method for solving applied problems, including fire protection ones, can be associated with overcoming possible difficulties (both of an analytical nature and of a numerical implementation).
Valery G. Shamonin   +4 more
doaj   +1 more source

Minimization of Peak Effect in the Free Motion of Linear Systems with Restricted Control

open access: yesИнформатика и автоматизация, 2023
A peak effect minimization problem in the free motion of linear systems is considered in the paper. The paper proposes an iterative procedure for the peak effect minimization using a combination of the recently proposed gramian-based approach and the ...
Natalia Dudarenko   +3 more
doaj   +1 more source

Error Propagation of Capon’s Minimum Variance Estimator

open access: yesFrontiers in Physics, 2021
The error propagation of Capon’s minimum variance estimator resulting from measurement errors and position errors is derived within a linear approximation.
S. Toepfer   +5 more
doaj   +1 more source

Kinematics and Singularity Analysis of an Underwater Electric Manipulator

open access: yesKongzhi Yu Xinxi Jishu, 2023
An underwater electric manipulator is a key operational tool for unmanned underwater vehicles. The control of this manipulator demands kinematic models, but for arms of different structures, these models differ.
HUANG Zhong, LIU Kean
doaj   +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.
Michael Karow   +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

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