Results 61 to 70 of about 4,447 (309)
Solution to the General Inner-Outer and Spectral Factorization Problems [PDF]
, 1998 In this paper we solve two open problems in linear system theory: the computation of the spectral and inner-outer factorizations of a rational matrix G in the most general setting.
Varga, A., Oara, C.
core
Some Bivariate Smooth Compactly Supported Tight Framelets with Three Generators
Abstract and Applied Analysis, 2013 For any dilation matrix with integer entries and , we construct a family of smooth compactly supported tight wavelet frames with three generators in .
A. San Antolín, R. A. Zalik
doaj +1 more source
T1 Over Squared Proton Density Ratio to Characterize Multiple Sclerosis Lesions
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Differentiating remyelinated from demyelinated lesions in MS remains challenging without histological confirmation. This study introduces the T1‐to‐PD2 ratio (TPR) imaging approach and evaluates its ability to characterize MS lesions alongside other quantitative MRI (qMRI) metrics. Methods Thirty individuals with MS (mean age: 47.5 ±
Sarah J. Wright +10 more
wiley +1 more source
Polynomial factorization through Toeplitz matrix computations [PDF]
, 2003 The problem of polynomial factorization is translated into the problem of constructing a Wiener–Hopf factorization, and three algorithms are designed for the solution of the latter problem. These algorithms are based on solving linear systems with large (
BOETTCHER A. +5 more
core +1 more source
CPD-Structured Multivariate Polynomial Optimization
Frontiers in Applied Mathematics and Statistics, 2022 We introduce the Tensor-Based Multivariate Optimization (TeMPO) framework for use in nonlinear optimization problems commonly encountered in signal processing, machine learning, and artificial intelligence.
Muzaffer Ayvaz +3 more
doaj +1 more source
Bi‐ and Mono‐Allelic RFC1 Expansion in a North American Cohort With Idiopathic Axonal Neuropathy
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective RFC1 biallelic repeat expansion is increasingly recognized as a cause of chronic idiopathic axonal polyneuropathy (CIAP), but it remains challenging to know who to test. This study aims to determine the prevalence of biallelic and monoallelic RFC1 expansions and their corresponding neuropathy phenotypes in CIAP patients and identify ...
Amro M. Stino +25 more
wiley +1 more source
Revisiting the Factorization of xn+1 over Finite Fields with Applications
Journal of Mathematics, 2021 The polynomial xn+1 over finite fields has been of interest due to its applications in the study of negacyclic codes over finite fields. In this paper, a rigorous treatment of the factorization of xn+1 over finite fields is given as well as its ...
Arunwan Boripan, Somphong Jitman
doaj +1 more source
The q-Onsager algebra and its alternating central extension
Nuclear Physics B, 2022 The q-Onsager algebra Oq has a presentation involving two generators W0, W1 and two relations, called the q-Dolan/Grady relations. The alternating central extension Oq has a presentation involving the alternating generators {W−k}k=0∞, {Wk+1}k=0∞, {Gk+1}k=
Paul Terwilliger
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Lattices and factorization of polynomials [PDF]
ACM SIGSAM Bulletin, 1981 A new algorithm to factorize univariate polynomials over an algebraic number field has been implemented in Algol-68 on a CDC-Cyber 170-750 computer. The algebraic number field is given as the field of rational numbers adjoined by a root of a prescribed minimal polynomial.
openaire +2 more sources
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Building on our prior Behavioral Risk Factor Surveillance System analysis identifying adults aged 18–39 as the primary driver of the national increase in self‐reported cognitive disability, we examined factors associated with this rise using 2013–2024 U.S. BRFSS data. Methods We analyzed U.S.
Adam de Havenon +9 more
wiley +1 more source