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Presentation of numerical uncertainty modulates duration judgments. [PDF]
Sci RepMittal J, Shukla A.
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Condition number of Bott–Duffin inverse and their condition numbers
Applied Mathematics and Computation, 2003The paper studies the normwise relative condition number of the Bott-Duffin inverse and the corresponding condition number for the constrained linear systems \(Ax+y=b,x\in L,y\in L^{\bot }\). Since the condition number cannot be computed exactly, the authors consider the sensitivity of the problem ``the condition number of the condition number'' by ...
Wei, Yimin, Xu, Wei
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2016
In the following chapter we are going to discuss the solution of a system of linear equations $$\displaystyle{ Ax = b }$$ (2.1) where A is an n × n real matrix: \(A \in \mathbb{R}^{n\times n},\,b \in \mathbb{R}^{n}\) is a given vector and \(x \in \mathbb{R}^{n}\) is the unknown vector.
Gisbert Stoyan, Agnes Baran
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In the following chapter we are going to discuss the solution of a system of linear equations $$\displaystyle{ Ax = b }$$ (2.1) where A is an n × n real matrix: \(A \in \mathbb{R}^{n\times n},\,b \in \mathbb{R}^{n}\) is a given vector and \(x \in \mathbb{R}^{n}\) is the unknown vector.
Gisbert Stoyan, Agnes Baran
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Condition number of Drazin inverse and their condition numbers of singular linear systems
Applied Mathematics and Computation, 2003Various condition numbers are given for the Drazin inverse of a singular square matrix and for singular linear systems.
Wei, Yimin +2 more
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Condition Number Estimation for Sparse Matrices
SIAM Journal on Scientific and Statistical Computing, 1981The LINPACK package of linear equation solving software provides a reliable and inexpensive algorithm for estimating the condition number of a dense matrix. The direct generalization to banded or sparse matrices is reliable, but not necessarily inexpensive.
Grimes, Roger G., Lewis, John G.
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Smoothed analysis of some condition numbers
Numerical Linear Algebra with Applications, 2006The authors in the paper first present a smoothed analysis of the condition number of \(A\) (in terms of its Moore-Penrose inversion \(A^{\dagger }\)) given as \(\kappa _{\dagger }(A) = \| A \| _2 \| A^{\dagger } \| _2\). They assume that a rectangular matrix \(A\) is Gaussian centered at \(M\) (i.e.\ its entries are independent normal variables with ...
Cucker, F., Diao, H., Wei, Y.
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Condition numbers for various FEM matrices
IEEE Antennas and Propagation Society International Symposium. 1999 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.99CH37010), 1999Summary: A detailed study is presented that examines the inter-relationships between condition numbers of finite element method (FEM) matrices based on various interpolatory and hierarchical tangential vector finite elements (TVFEs). The validity of the generally accepted postulate that interpolatory higher order TVFEs lead to better conditioned ...
Andersen, L. S., Volakis, J. L.
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Condition numbers and D-efficiency
Statistics & Probability Letters, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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