A non-archimedean interior point method and its application to the lexicographic multi-objective quadratic programming

L Fiaschi, M Cococcioni - Mathematics, 2022 - mdpi.com
This work presents a generalized implementation of the infeasible primal-dual interior point
method (IPM) achieved by the use of non-Archimedean values, ie, infinite and infinitesimal …

Modelling Heavy Tailed Phenomena Using a LogNormal Distribution Having a Numerically Verifiable Infinite Variance

M Cococcioni, F Fiorini, M Pagano - Mathematics, 2023 - mdpi.com
One-sided heavy tailed distributions have been used in many engineering applications,
ranging from teletraffic modelling to financial engineering. In practice, the most interesting …

Speeding Up Non-archimedean Numerical Computations Using AVX-512 SIMD Instructions

L Fiaschi, F Rossi, M Cococcioni… - … on Applications in …, 2023 - Springer
This work presents the acceleration of a Bounded Algorithmic Number (BAN) library
exploiting vector instructions in general-purpose processors. With the use of this encoding, it …

Check for updates Speeding Up Non-archimedean Numerical Computations Using AVX-512 SIMD Instructions

L Fiaschi, F Rossi, M Cococcioni… - Applications in …, 2024 - books.google.com
This work presents the acceleration of a Bounded Algorithmic Number (BAN) library
exploiting vector instructions in generalpurpose processors. With the use of this encoding, it …