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The Kernel Polynomial Method [PDF]

open access: yesReviews of Modern Physics, 2006
Efficient and stable algorithms for the calculation of spectral quantities and correlation functions are some of the key tools in computational condensed matter physics.
Alvermann, Andreas   +3 more
core   +5 more sources

Kernel polynomial method for linear spin wave theory [PDF]

open access: yesSciPost Physics, 2023
Calculating dynamical spin correlations is essential for matching model magnetic exchange Hamiltonians to momentum-resolved spectroscopic measurements.
Harry Lane, Hao Zhang, David Dahlbom, Sam Quinn, Rolando D. Somma, Martin Mourigal, Cristian D. Batista, Kipton Barros
doaj   +2 more sources

Polynomial Method for PLL Controller Optimization [PDF]

open access: yesSensors, 2011
The Phase-Locked Loop (PLL) is a key component of modern electronic communication and control systems. PLL is designed to extract signals from transmission channels.
Tsung-Yu Chiou   +2 more
doaj   +2 more sources

New Low-Memory Algebraic Attacks on LowMC in the Picnic Setting

open access: yesIACR Transactions on Symmetric Cryptology, 2022
The security of the post-quantum signature scheme Picnic is highly related to the difficulty of recovering the secret key of LowMC from a single plaintext-ciphertext pair.
Fukang Liu   +3 more
doaj   +3 more sources

Algebraic proof of recursive relation for Boros-Moll polynomial sequence [PDF]

open access: yesJournal of Hebei University of Science and Technology, 2023
In order to expand the basic theory of the recurrence relationship of Boros-Moll polynomial sequence, a new proof method for the recurrence relationship of Boros-Moll polynomial sequence was studied.
Yujie DOU   +3 more
doaj   +1 more source

Reasoning Method between Polynomial Error Assertions

open access: yesInformation, 2021
Error coefficients are ubiquitous in systems. In particular, errors in reasoning verification must be considered regarding safety-critical systems. We present a reasoning method that can be applied to systems described by the polynomial error assertion ...
Peng Wu   +3 more
doaj   +1 more source

Comparative study of Adomian decomposition method and Clique polynomial method

open access: yesPartial Differential Equations in Applied Mathematics, 2022
This paper generated the novel approach called the Clique polynomial method (CPM) using the Clique polynomials raised in graph theory. Nonlinear initial value problems are converted into nonlinear algebraic equations by discretization with suitable grid ...
Kumbinarasaiah S, Mallanagoud Mulimani
doaj   +1 more source

Computation of topological phase diagram of disordered Pb1−xSnxTe using the kernel polynomial method [PDF]

open access: yesPhysical Review Research, 2019
We present an algorithm to determine topological invariants of inhomogeneous systems, such as alloys, disordered crystals, or amorphous systems. Our algorithm allows for efficient analysis of three-dimensional samples with more than $10^7$ degrees of ...
D. Varjas   +3 more
semanticscholar   +1 more source

Percentile Bootstrap Interval on Univariate Local Polynomial Regression Prediction

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika), 2023
This study offers a new technique for constructing percentile bootstrap intervals to predict the regression of univariate local polynomials. Bootstrap regression uses resampling derived from paired and residual bootstrap methods.
Abil Mansyur   +2 more
doaj   +1 more source

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