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RNS architectures for the implementation of the `diagonal function'
Information Processing Letters, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giovanni Dimauro +3 more
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2020
In this chapter, for arbitrary and for the restricted sccf-triples \(\tau \), we study functions \(\varPsi _{\tau }^{bc}\), \(b,c \in \{i,d,a,s\}\), located in the matrix of upper global bounds for the triple \(\tau \) over the main diagonal. For each of these functions, we list all possible upper types and consider criterion for each such type.
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In this chapter, for arbitrary and for the restricted sccf-triples \(\tau \), we study functions \(\varPsi _{\tau }^{bc}\), \(b,c \in \{i,d,a,s\}\), located in the matrix of upper global bounds for the triple \(\tau \) over the main diagonal. For each of these functions, we list all possible upper types and consider criterion for each such type.
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Lyapunov Functions for Diagonally Dominant Systems
IFAC Proceedings Volumes, 1975Abstract This paper deals with the construction of Lyapunov functions for the finite dimensional linear system ẋ = Ax when the entries of the generating matrix A satisfy various conditions requiring dominance of its diagonal elements and nonnegativity of its off-diagonal elements.
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Diagonals of the laurent series of rational functions
Siberian Mathematical Journal, 2009Summary: We consider the problem of the algebraicity of diagonal series for the Laurent expansions of rational functions, geometrically identifiable using the amoeba of the denominator or an integer point in its Newton polyhedron. We give sufficient conditions for the algebraicity of diagonals based on the theory of multidimensional residues and ...
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The spectral diameter as a function of the diagonal entries
Numerical Linear Algebra with Applications, 2003AbstractFor certain specified real symmetric matrices A the spectral diameter of A – diag (A) is less than or equal to the spectral diameter of A. Included are irreducible matrices whose undirected graphs have no cycles. Copyright © 2003 John Wiley & Sons, Ltd.
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Diagonal series of rational functions
Annales Polonici Mathematici, 1991Some representations of Nash functions on continua in \(\mathbb{C}\) as integral of rational functions of two complex variables are presented. For any compact subset \(K\) of \(\mathbb{C}^ m\), let \({\mathcal O} (K)\) denote the space of all functions defined on \(K\) which have a holomorphic extension to an open neighborhood of \(K\).
Cynk, Sławomir, Tworzewski, Piotr
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Functions on Main Diagonal and Below
2020In this chapter, for arbitrary and for the restricted sccf-triples \(\tau \), we study functions \(\varPsi _{\tau }^{bc}\), \(b,c \in \{i,d,a,s\}\), located in the matrix of upper global bounds for the triple \(\tau \) on the main diagonal and below. For each of these functions, we list all possible upper types and consider criterion for each such type
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A Robust Objective Function of Joint Approximate Diagonalization
2012Joint approximate diagonalization (JAD) is a method solving blind source separation, which can extract non-Gaussian sources without any other prior knowledge. However, it is not robust when the sample size is small because JAD is based on an algebraic objective function. In this paper, a new robust objective function of JAD is derived by an information
Yoshitatsu Matsuda, Kazunori Yamaguchi
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On the use of Diagonally Nonrecursive Functions
1989Publisher Summary This chapter describes the functions that diagonalize all partial recursive functions possess important properties and the study of these functions gives a new view on some results in recursion theory as well as new methods to prove them.
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A note on RNS architectures for the implementation of the diagonal function
Information Processing Letters, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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