Results 91 to 100 of about 6,682,316 (219)
Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley +1 more source
Journal of Geophysical Research: Atmospheres, Volume 131, Issue 21, 16 November 2026.Abstract Methane (CH4 ${\text{CH}}_{4}$) is a critical greenhouse gas, and accurate monitoring of its vertical distribution is essential for understanding its radiative impact and identifying emission sources. This paper introduces a novel methodology using a physics‐constrained neural network based on soft constraints to retrieve CH4 ${\text{CH}}_{4}$
Rocco Giosa +12 more
wiley +1 more source
Matrices With High Completely Positive Semidefinite Rank [PDF]
, 2016 A real symmetric matrix M is completely positive semidefinite if it admits a Gram representation by positive semidefinite matrices (of any size d ). The smallest such d is called the completely positive semidefinite rank of M , and it is an open question
de Laat, David +2 more
core +2 more sources
A Semidefinite Programming Approach for Harmonic Balance Method
IEEE Access, 2019 The harmonic balance method is broadly employed for analyzing and predicting the periodic steady-state solution. Most of the traditional methods in the literature do not guarantee global optimality. Due to its nonconvexity, it is a complex task to find a
Cheng H. Yang, Ben S. Deng
doaj +1 more source
Control Design Based on Generalized Lur'e Lyapunov Functions for Sampled‐Data Lur'e Systems
International Journal of Robust and Nonlinear Control, Volume 36, Issue 16, Page 7450-7463, 10 November 2026.ABSTRACT This article addresses the synthesis of stabilizing control laws for aperiodic sampled‐data Lur'e systems. Based on a hybrid system representation of the closed‐loop system and a timer‐dependent generalized Lur'e–Postnikov type Lyapunov function, stabilization conditions are obtained by separating decision variables with the application of two
Arthur Scolari Fagundes +2 more
wiley +1 more source
Limits to the Hall Effect and Other Nonreciprocal Effects in Three‐Dimensional Metamaterials
Advanced Materials, Volume 38, Issue 61, 2 November 2026.Comprehensive and fundamental bounds on nonreciprocal effects in three‐dimensional metamaterials are derived. They reveal that the effective Hall mobility cannot exceed the largest constituent mobility, that, under certain conditions, the Verdet constant cannot be enhanced, and that, for constituents with Hall coefficients of the same sign, the largest
Christian Kern, Graeme W. Milton
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, 2017 A basic framework for exploiting sparsity via positive semidefinite matrix completion is presented for an optimization problem with linear and nonlinear matrix inequalities.
김선영
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Minimum Rank Positive Semidefinite Matrix Completion with Chordal Sparsity Pattern [PDF]
, 2017 In recent years, semidefinite programming has been an important topic in the area of convex optimization, and several methods for exploiting the sparse structure in semidefinite programming problems have been developed. Some methods have been proposed to
Jiang, Xin
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Economic Principles and Optimal Rules for Flood Detention Basin Operation
Water Resources Research, Volume 62, Issue 11, November 2026.Abstract Flood detention basins (FDBs) are critical infrastructure for mitigating downstream flood risk through temporary floodwater storage and are widely implemented globally. However, with ongoing economic development within FDBs, balancing the safety of downstream flood protected areas with the internal economic losses of FDBs is a significant ...
Shibo Cui, Xiaohe Du, Jianshi Zhao
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Polynomial Matrix Inequality and Semidefinite Representation
, 2011 Consider a convex set [Formula: see text], where G(x) is a symmetric matrix whose every entry is a polynomial or rational function, 𝒟 ⫅ ℝn is a domain on which G(x) is defined, and [Formula: see text] means G(x) is positive semidefinite.
Jiawang Nie
core +1 more source