Results 11 to 20 of about 8,701,772 (260)
Minimizing the Euclidean Condition Number [PDF]
SIAM Journal on Control and Optimization, 1994 A convex optimization procedure to determine the scalings that minimize the Euclidean condition number of a matrix is presented. Numerical results are not given.
Braatz, Richard D., Morari, Manfred
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Effective Condition Number Bounds for Convex Regularization [PDF]
, 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
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SIAM 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
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On the condition number of the Vandermonde matrix of the nth cyclotomic polynomial
Journal 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
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Convexity properties of the condition number II [PDF]
, 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
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A New Stiffness Performance Index: Volumetric Isotropy Index
Machines, 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
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A General Condition Number for Polynomials [PDF]
SIAM 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
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A condition number for the tensor rank decomposition [PDF]
, 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
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Sensors, 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
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Open 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
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