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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   +3 more sources

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

Grazing intensity effects on rangeland condition and tree diversity in Afar, northeastern Ethiopia

open access: yesHeliyon, 2023
This study assessed the effects of different grazing pressures (light, moderate and heavy) on rangeland condition and woody species diversity in northeastern Ethiopia.
Mengeste Mathewos   +2 more
doaj   +1 more source

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   +5 more sources

Numerical Analysis of Cambered Plate Configurations under Low Reynolds Numbers and at a Low-Density Condition

open access: yesFluids, 2023
After one year of operation, the Ingenuity rotorcraft and the Perseverance rover continue their exploration missions on Mars. Succeeding the technology demonstration phase, by proving its flight capabilities, Ingenuity transitioned to a new mission stage
Aleandro Saez   +2 more
doaj   +1 more source

The Cayley-Dickson Construction in ACL2 [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2017
The Cayley-Dickson Construction is a generalization of the familiar construction of the complex numbers from pairs of real numbers. The complex numbers can be viewed as two-dimensional vectors equipped with a multiplication. The construction can be used
John Cowles, Ruben Gamboa
doaj   +1 more source

Generalized Boundary Condition Applied to Lieb-Schultz-Mattis-Type Ingappabilities and Many-Body Chern Numbers

open access: yesPhysical Review X, 2020
We introduce a new boundary condition which renders the flux-insertion argument for the Lieb-Schultz-Mattis-type theorems in two or higher dimensions free from the specific choice of system sizes.
Yuan Yao, Masaki Oshikawa
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 ...
Pierre Maréchal, Jane J. Ye
openaire   +3 more sources

Bridge Condition Assessment Using D Numbers

open access: yesThe Scientific World Journal, 2014
Bridge condition assessment is a complex problem influenced by many factors. The uncertain environment increases more its complexity. Due to the uncertainty in the process of assessment, one of the key problems is the representation of assessment results.
Xinyang Deng, Yong Hu, Yong Deng
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

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