A two-variable approach to solve the polynomial Lyapunov equation
A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is proposed. Lifting the problem from the one-variable to the two-variable context allows to use Faddeev-type recursions in order to solve the polynomial Lyapunov ...
Peeters, Ralf, Rapisarda, Paolo
core +2 more sources
Area-Efficient Polynomial Multiplication Hardware Implementation for Lattice-based Cryptography [PDF]
Lattice-based post-quantum cryptography algorithms demonstrate significant potential in public-key cryptography. A key performance bottleneck in hardware implementation is the computational complexity of polynomial multiplication. To address the problems
XIE Jiaxing, PU Jinwei, FANG Weitian, ZHENG Xin, XIONG Xiaoming
doaj +1 more source
An Efficient Bi-Parametric With-Memory Iterative Method for Solving Nonlinear Equations
New three-step with-memory iterative methods for solving nonlinear equations are presented. We have enhanced the convergence order of an existing eighth-order memory-less iterative method by transforming it into a with-memory method.
Ekta Sharma +3 more
doaj +1 more source
Fast and Generalized Polynomial Time Memory Consistency Verification [PDF]
The problem of verifying multi-threaded execution against the memory consistency model of a processor is known to be an NP hard problem. However polynomial time algorithms exist that detect almost all failures in such execution. These are often used in practice for microprocessor verification.
Amitabha Roy 0002 +3 more
openaire +3 more sources
Pattern matching of compressed terms and contexts and polynomial rewriting [PDF]
A generalization of the compressed string pattern match that applies to terms with variables is investigated: Given terms s and t compressed by singleton tree grammars, the task is to find an instance of s that occurs as a subterm in t. We show that this
Schmidt-Schauß, Manfred +1 more
core
Long‐Term Neurologic Exam Findings in People Diagnosed and Treated During Acute HIV Infection
ABSTRACT Objective Evaluate clinical and laboratory correlates of abnormal neurologic exam findings after acute HIV infection (AHI). Methods Participants from the RV254/SEARCH 010 cohort in Bangkok underwent standardized neurologic examinations at Weeks 0 (AHI), 12, 96, and 288 following antiretroviral therapy (ART).
Kathryn B. Holroyd +118 more
wiley +1 more source
Efficient Homomorphic Encryption Accelerator With Integrated PRNG Using Low-Cost FPGA
With recent development in internet speed and reliability, cloud computing has become a more reliable solution for the user. In many cases where data privacy is critical, fully homomorphic encryption (FHE) can be a security solution for securing cloud ...
Infall Syafalni +4 more
doaj +1 more source
Limited‐memory polynomial methods for large‐scale matrix functions
AbstractMatrix functions are a central topic of linear algebra, and problems requiring their numerical approximation appear increasingly often in scientific computing. We review various limited‐memory methods for the approximation of the action of a large‐scale matrix function on a vector.
Stefan Güttel +2 more
openaire +4 more sources
Fourier restriction to polynomial curves I: a geometric inequality [PDF]
We prove a Fourier restriction result for general polynomial curves in Rd. Measuring the Fourier restriction with respect to the affine arclength measure of the curve, we obtain a universal estimate for the class of all polynomial curves of bounded ...
Wright, James +5 more
core +1 more source
dynoGP: Deep Gaussian Processes for Dynamic System Identification
This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +3 more
wiley +1 more source

