Controlled precision QUBO-based algorithm to compute eigenvectors of symmetric matrices.
PLoS ONE, 2022 We describe an algorithm to compute the extremal eigenvalues and corresponding eigenvectors of a symmetric matrix which is based on solving a sequence of Quadratic Binary Optimization problems.
Benjamin Krakoff +2 more
doaj +2 more sources
Cell assemblies at multiple time scales with arbitrary lag constellations
eLife, 2017 Hebb's idea of a cell assembly as the fundamental unit of neural information processing has dominated neuroscience like no other theoretical concept within the past 60 years.
Eleonora Russo, Daniel Durstewitz
doaj +1 more source
Motivations for an Arbitrary Precision Interval Arithmetic and the MPFI Library [PDF]
Reliable Computing, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Revol, Nathalie, Rouillier, Fabrice
openaire +4 more sources
Multiple precision evaluation of the Airy Ai function with reduced cancellation [PDF]
, 2013 The series expansion at the origin of the Airy function Ai(x) is alternating and hence problematic to evaluate for x > 0 due to cancellation. Based on a method recently proposed by Gawronski, M\"uller, and Reinhard, we exhibit two functions F and G, both
Chevillard, Sylvain, Mezzarobba, Marc
core +6 more sources
High-Precision Continuation of Periodic Orbits
Abstract and Applied Analysis, 2012 Obtaining periodic orbits of dynamical systems is the main source of information about how the orbits, in general, are organized. In this paper, we extend classical continuation algorithms in order to be able to obtain families of periodic orbits with ...
Ángeles Dena +3 more
doaj +1 more source
Solving Quadratic Programs to High Precision using Scaled Iterative Refinement [PDF]
, 2018 Quadratic optimization problems (QPs) are ubiquitous, and solution algorithms have matured to a reliable technology. However, the precision of solutions is usually limited due to the underlying floating-point operations.
Gleixner, Ambros +2 more
core +2 more sources
Large Scale and Complex Structure Grotto Digitalization Using Photogrammetric Method: A Case Study of Cave No. 13 in Yungang Grottoes [PDF]
ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences3D reconstruction of cultural heritage with large volume and high precision is a technical problem in the field of photogrammetry. This paper studies a high-precision digitalization method for large-volume immovable heritage assets based on ...
H. Xiang +13 more
doaj +1 more source
Precise numerical evaluation of the two loop sunrise graph Master Integrals in the equal mass case
, 2005 We present a double precision routine in Fortran for the precise and fast numerical evaluation of the two Master Integrals (MIs) of the equal mass two-loop sunrise graph for arbitrary momentum transfer in d=2 and d=4 dimensions.
't Hooft +5 more
core +1 more source
LINSPACE constructive analogue of (1+x)h function
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2008 Algorithms of class FLINSPACE are constructed in order to calculate the arbitrary precision of (1+x)h function with the help of Taylor expansion.
S. V. Yakhontov
doaj +1 more source
Fiber Based Multiple-Access Optical Frequency Dissemination [PDF]
, 2013 We demonstrate a fiber based multiple-access optical frequency dissemination scheme. Without using any additional laser sources, we reproduce the stable disseminated frequency at an arbitrary point of fiber link. Relative frequency stability of 3E10^{-16}
Bai, Y. +5 more
core +1 more source