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Condition number estimation of preconditioned matrices. [PDF]
PLoS ONE, 2015 The present paper introduces a condition number estimation method for preconditioned matrices. The newly developed method provides reasonable results, while the conventional method which is based on the Lanczos connection gives meaningless results.
Noriyuki Kushida
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Condition Number Regularized Covariance Estimation. [PDF]
J R Stat Soc Series B Stat Methodol, 2013 SummaryEstimation of high dimensional covariance matrices is known to be a difficult problem, has many applications and is of current interest to the larger statistics community. In many applications including the so-called ‘large p, small n’ setting, the estimate of the covariance matrix is required to be not only invertible but also well conditioned.
Won JH, Lim J, Kim SJ, Rajaratnam B.
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Minimizing the Euclidean Condition Number [PDF]
SIAM Journal on Control and Optimization, 1994 This paper considers the problem of determining the row and/or column scaling of a matrix A that minimizes the condition number of the scaled matrix. This problem has been studied by many authors.
Braatz, Richard D., Morari, Manfred
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The condition number of join decompositions [PDF]
SIAM 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 ...
Breiding, Paul, Vannieuwenhoven, Nick
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Convexity properties of the condition number [PDF]
SIAM Journal on Matrix Analysis and Applications, 2009 We define in the space of n by m matrices of rank n, n less or equal than m, the condition Riemannian structure as follows: For a given matrix A the tangent space of A is equipped with the Hermitian inner product obtained by multiplying the usual ...
Beltrán, Carlos +3 more
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Molecules, 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
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APPLICATION OF THE LOCAL VARIATION METHOD FOR SOLVING FIRE SAFETY PROBLEMS OF OBJECTS OF PROTECTION [PDF]
Актуальные 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
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Minimization of Peak Effect in the Free Motion of Linear Systems with Restricted Control
Информатика 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
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Error Propagation of Capon’s Minimum Variance Estimator
Frontiers 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
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Kinematics and Singularity Analysis of an Underwater Electric Manipulator
Kongzhi 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
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