Results 1 to 10 of about 350 (90)
Some Characterizations of the Distribution of the Condition Number of a Complex Gaussian Matrix
Special Matrices, 2020 The objective of this paper is to characterize the distribution of the condition number of a complex Gaussian matrix. Several new distributional properties of the distribution of the condition number of a complex Gaussian matrix are given.
Shakil M., Ahsanullah M.
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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 [PDF]
, 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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Concrete minimal 3 × 3 Hermitian matrices and some general cases
Demonstratio Mathematica, 2017 Given a Hermitian matrix M ∈ M3(ℂ) we describe explicitly the real diagonal matrices DM such that ║M + DM║ ≤ ║M + D║ for all real diagonal matrices D ∈ M3(ℂ), where ║ · ║ denotes the operator norm.
Klobouk Abel H., Varela Alejandro
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An iterative method for solving Fredholm integral equations of the first kind [PDF]
, 2009 The purpose of this paper is to give a convergence analysis of the iterative scheme: \bee u_n^\dl=qu_{n-1}^\dl+(1-q)T_{a_n}^{-1}K^*f_\dl,\quad u_0^\dl=0,\eee where $T:=K^*K,\quad T_a:=T+aI,\quad q\in(0,1),\quad a_n:=\alpha_0q^n, \alpha_0>0,$ with finite ...
Indratno, Sapto W., Ramm, A. G.
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Some inferences on the distribution of the Demmel condition number of complex Wishart matrices
Special Matrices, 2017 In recent years, many researchers have studied the distributions of the Demmel (or the scaled) condition numbers (DCN) of complex Wishart matrices. In this paper, several new distributional properties of the distribution of the Demmel condition number of
Shakil M., Ahsanullah M.
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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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Inversion of the Laplace transform from the real axis using an adaptive iterative method [PDF]
, 2009 In this paper a new method for inverting the Laplace transform from the real axis is formulated. This method is based on a quadrature formula. We assume that the unknown function $f(t)$ is continuous with (known) compact support.
Indratno, Sapto W., Ramm, A. G.
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Matrix positivity preservers in fixed dimension. I [PDF]
, 2016 A classical theorem proved in 1942 by I.J. Schoenberg describes all real-valued functions that preserve positivity when applied entrywise to positive semidefinite matrices of arbitrary size; such functions are necessarily analytic with non-negative ...
Belton, Alexander +3 more
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On the asymptotic spectrum of finite element matrix sequences [PDF]
, 2007 We derive a new formula for the asymptotic eigenvalue distribution of stiffness matrices obtained by applying Fi finite elements with standard mesh refinement to the semielliptic PDE of second order in divergence form -\u25bd(\u39a\u25bdTu) = f on \u3a9,
Beckermann, B., Serra Capizzano, S.
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