Zobrazeno 1 - 10
of 403
pro vyhledávání: '"Szyld P"'
On current computer architectures, GMRES' performance can be limited by its communication cost to generate orthonormal basis vectors of the Krylov subspace. To address this performance bottleneck, its $s$-step variant orthogonalizes a block of $s$ ba
Externí odkaz:
http://arxiv.org/abs/2402.15033
Autor:
Spillane, Nicole, Szyld, Daniel B
New convergence bounds are presented for weighted, preconditioned, and deflated GMRES for the solution of large, sparse, non-Hermitian linear systems. These bounds are given for the case when the Hermitian part of the coefficient matrix is positive d
Externí odkaz:
http://arxiv.org/abs/2312.13625
Autor:
Gwendolyn M. Lawson, Elizabeth E. Foglia, Sura Lee, Diana Worsley, Ashley Martin, Edgardo Szyld, Lise DeShea, Canita Brent, Christopher P. Bonafide
Publikováno v:
Implementation Science Communications, Vol 5, Iss 1, Pp 1-11 (2024)
Abstract Background Positive pressure ventilation (PPV) is an essential component of neonatal resuscitation. Meta-analytic evidence suggests that, among late preterm and term newborn infants who require resuscitation after birth, a supraglottic airwa
Externí odkaz:
https://doaj.org/article/2dfaa07550bc43efaa1977f3700092af
CholeskyQR2 and shifted CholeskyQR3 are two state-of-the-art algorithms for computing tall-and-skinny QR factorizations since they attain high performance on current computer architectures. However, to guarantee stability, for some applications, Chol
Externí odkaz:
http://arxiv.org/abs/2309.05868
We consider the problem of approximating the solution to $A(\mu) x(\mu) = b$ for many different values of the parameter $\mu$. Here we assume $A(\mu)$ is large, sparse, and nonsingular with a nonlinear dependence on $\mu$. Our method is based on a co
Externí odkaz:
http://arxiv.org/abs/2212.04295
Autor:
Frommer, Andreas, Szyld, Daniel B.
Publikováno v:
Numer. Algorithms (2022)
We extend results known for the randomized Gauss-Seidel and the Gauss-Southwell methods for the case of a Hermitian and positive definite matrix to certain classes of non-Hermitian matrices. We obtain convergence results for a whole range of paramete
Externí odkaz:
http://arxiv.org/abs/2209.03757
This paper defines double fibrations (fibrations of double categories) and describes their key examples and properties. In particular, it shows how double fibrations relate to existing fibrational notions such as monoidal fibrations and discrete doub
Externí odkaz:
http://arxiv.org/abs/2205.15240
We study the interaction between the notions of filteredness, fractions and fibrations in the theory of bicategories, generalizing classical results for categories. We give an explicit formula for filtered pseudo-colimits of categories indexed by a b
Externí odkaz:
http://arxiv.org/abs/2112.00205
We discuss different cases of dissipative Hamiltonian differential-algebraic equations and the linear algebraic systems that arise in their linearization or discretization. For each case we give examples from practical applications. An important feat
Externí odkaz:
http://arxiv.org/abs/2111.05616
In this paper, we extend to the block case, the a posteriori bound showing superlinear convergence of Conjugate Gradients developed in [J. Comput. Applied Math., 48 (1993), pp. 327-341]; that is, we obtain similar bounds, but now for block Conjugate
Externí odkaz:
http://arxiv.org/abs/2107.10320