Applied Mathematics and Computation最新文献

Nonmonotone quasi-Newton method with diagonal Jacobian approximation for symmetric nonlinear equations 对称非线性方程的非单调拟牛顿对角雅可比逼近方法

IF 3.4 2区数学

Applied Mathematics and Computation Pub Date : 2026-08-15 Epub Date: 2026-02-14 DOI: 10.1016/j.amc.2026.130010

Duc Quoc Huynh , Feng-Nan Hwang

{"title":"Nonmonotone quasi-Newton method with diagonal Jacobian approximation for symmetric nonlinear equations","authors":"Duc Quoc Huynh , Feng-Nan Hwang","doi":"10.1016/j.amc.2026.130010","DOIUrl":"10.1016/j.amc.2026.130010","url":null,"abstract":"<div><div>We investigate a quasi-Newton method with a diagonal approximation of the Jacobian based on the secant equation, referred to as QN-SDAJ, for solving sparse, symmetric nonlinear equations arising from unconstrained optimization problems. The search direction is constructed using a Barzilai-Borwein-type scaling derived from the secant equation, and global convergence is established under suitable assumptions when combined with the nonmonotone line search of Li and Fukushima. This globalization strategy addresses the major limitations of classical Armijo-type monotone linesearch rules, such as nondescent directions, unacceptably small steps, or unavailable Jacobians. We conducted several numerical experiments on benchmark problems to demonstrate the computational efficiency and robustness of QN-SDAJ. Our results show that QN-SDAJ is a competitive or superior alternative to methods, including the exact Newton method, a variant of the nonlinear conjugate gradient method, an inexact Broyden-Fletcher-Goldfarb-Shanno method, and a derivative-free spectral residual method, DF-SANE, which is widely regarded as the state-of-the-art.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"523 ","pages":"Article 130010"},"PeriodicalIF":3.4,"publicationDate":"2026-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146175261","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Event-triggered stabilization of fractional linear systems with time-varying delays: A Halanay inequality approach 时变时滞分数阶线性系统的事件触发镇定：一种Halanay不等式方法

IF 3.4 2区数学

Applied Mathematics and Computation Pub Date : 2026-08-15 Epub Date: 2026-02-14 DOI: 10.1016/j.amc.2026.130017

Shiyu Chu, Feifei Du, Shilong Zhang

引用次数: 0

Oscillatory performance of the solutions of neutral differential equations with a delayed damping term 具有延迟阻尼项的中立型微分方程解的振荡特性

IF 3.4 2区数学

Applied Mathematics and Computation Pub Date : 2026-08-01 Epub Date: 2026-02-11 DOI: 10.1016/j.amc.2026.130006

Osama Moaaz , George E. Chatzarakis , Amira Essam

引用次数: 0

Improved higher-order Wirtinger integral inequality and switching mode design for nonlinear time-delay systems 改进的高阶Wirtinger积分不等式及非线性时滞系统的切换模式设计

IF 3.4 2区数学

Applied Mathematics and Computation Pub Date : 2026-08-01 Epub Date: 2026-02-05 DOI: 10.1016/j.amc.2026.129997

Xiao-Yan Wang , Yue Long

引用次数: 0

On a weighted Chaikin-type subdivision scheme for non-smooth data 非光滑数据的加权chaikin型细分方案

IF 3.4 2区数学

Applied Mathematics and Computation Pub Date : 2026-08-01 Epub Date: 2026-02-05 DOI: 10.1016/j.amc.2026.129991

Sergio Amat , Sonia Busquier , David Levin , Juan Ruiz-Álvarez , Dionisio F. Yáñez

{"title":"On a weighted Chaikin-type subdivision scheme for non-smooth data","authors":"Sergio Amat , Sonia Busquier , David Levin , Juan Ruiz-Álvarez , Dionisio F. Yáñez","doi":"10.1016/j.amc.2026.129991","DOIUrl":"10.1016/j.amc.2026.129991","url":null,"abstract":"<div><div>In this paper, we introduce a nonlinear subdivision scheme designed to converge to piecewise smooth functions. The scheme is formulated as a convex nonlinear combination of Chaikin-type linear schemes. In regions of regularity, it attains a high level of smoothness and accuracy, comparable to that of the <span><math><mrow><msup><mi>C</mi><mn>2</mn></msup><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> fourth-order linear algorithm that it approximates. Near discontinuities, the scheme successfully avoids Gibbs-type oscillations and does not introduce any artificial intermediate points within the intervals containing the discontinuities. Furthermore, the proposed scheme adaptively responds to discontinuities while utilizing the maximum number of available points within smooth regions, thus ensuring the highest attainable order of accuracy in every case. A set of numerical experiments is provided, illustrating and supporting the theoretical analysis with respect to convergence, stability, accuracy, and regularity across both smooth regions and regions with discontinuities. To the best of our knowledge, this represents the first algorithm capable of simultaneously exhibiting all these desirable properties.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"522 ","pages":"Article 129991"},"PeriodicalIF":3.4,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Nonfragile fuzzy filtering for nonlinear systems with event-triggered and quantized mechanisms 具有事件触发和量化机制的非线性系统的非脆弱模糊滤波

IF 3.4 2区数学

Applied Mathematics and Computation Pub Date : 2026-08-01 Epub Date: 2026-02-02 DOI: 10.1016/j.amc.2026.129984

Guo-Jun Liu , Fan Wang , Donghong Hu

引用次数: 0

Multivariate max-min sampling operators: Theory and applications in image processing 多元最大最小采样算子：理论及其在图像处理中的应用

IF 3.4 2区数学

Applied Mathematics and Computation Pub Date : 2026-08-01 Epub Date: 2026-02-07 DOI: 10.1016/j.amc.2026.129998

Kruti Vayeda, Shivam Bajpeyi

{"title":"Multivariate max-min sampling operators: Theory and applications in image processing","authors":"Kruti Vayeda, Shivam Bajpeyi","doi":"10.1016/j.amc.2026.129998","DOIUrl":"10.1016/j.amc.2026.129998","url":null,"abstract":"<div><div>The approximation of functions using sampling-based operators has emerged as a prominent research area within approximation theory, with potential applications in signal analysis and image inpainting. This paper introduces and presents a comprehensive study on the family of multivariate sampling operators based on max-min structure, and their utility in real-life applications of image processing. The proposed family of operators significantly extends the univariate theory of max-min sampling operators introduced in [1]. Theoretically, the approximation properties have been established for functions in space of all continuous functions, the Lebesgue spaces and the Orlicz spaces. The Orlicz spaces are extension of the Lebesgue spaces and consist of several interesting spaces, for instance, the <em>Exponential space</em> and the <em>Logarithmic space</em>. Moreover, the quantitative approximation results have been derived for continuous functions by utilizing modulus of continuity. Subsequently, illustrative examples supported by graphical representations and error-estimate are presented to demonstrate the approximation capabilities of our operators. Furthermore, the utility of our proposed operators have been demonstrated through successful applications in image processing, in particular, image reconstruction, image upscaling and image inpainting, and the performance has been evaluated using <em>PSNR, SSIM</em> and <em>EPI</em>. Our findings demonstrate the effectiveness of our proposed operators over some existing family of operators and certain well-known state-of-the-art methods in image processing tasks.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"522 ","pages":"Article 129998"},"PeriodicalIF":3.4,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134758","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Nested saturation control of Mecanum-wheeled mobile robot under stochastic disturbances and input constraints 随机干扰和输入约束下机械轮式移动机器人的嵌套饱和控制

IF 3.4 2区数学

Applied Mathematics and Computation Pub Date : 2026-08-01 Epub Date: 2026-02-06 DOI: 10.1016/j.amc.2026.130009

Ruijie Yin , Zhaojing Wu , Likang Feng

引用次数: 0

Spatiotemporal contagion dynamics driven by human mobility in multilayer activity-driven networks 多层次活动驱动网络中人类流动性驱动的时空传染动力学

IF 3.4 2区数学

Applied Mathematics and Computation Pub Date : 2026-08-01 Epub Date: 2026-02-05 DOI: 10.1016/j.amc.2026.129993

Huiying Cao , Dengxiu Yu , C. L. Philip Chen

{"title":"Spatiotemporal contagion dynamics driven by human mobility in multilayer activity-driven networks","authors":"Huiying Cao , Dengxiu Yu , C. L. Philip Chen","doi":"10.1016/j.amc.2026.129993","DOIUrl":"10.1016/j.amc.2026.129993","url":null,"abstract":"<div><div>Expanding transport systems have disrupted the geographical boundaries of human mobility, producing intricate patterns of spatiotemporal contagion dynamics. Conventional theoretical models often neglect the memory effect of human mobility and the dynamic evolution of social interactions. To address this problem, we introduce a novel theoretical framework for modeling spatiotemporal contagion dynamics. We first develop a temporal multilayer network that integrates the spatial structure of populations with a non-instantaneous travel process, where infections occur both within layers and during transit, facilitated by time-varying social interactions modeled via activity-driven networks. Second, we formulate the non-Markovian dynamics using quenched mean-field theory and derive an analytical epidemic threshold based on the Next Generation Matrix approach, demonstrating that the onset and progression of epidemics are governed by travel strength (proportion of travelers and hopping rate), interaction density, and travel duration. Third, through extensive experiments and analysis, we find that, compared to Markovian dynamics and analytical SIR-type solutions, non-Markovian dynamics introduce memory-driven delays in the redistribution of effective population size across structural components, capturing realistic multi-wave infection patterns more accurately. Dense travel interactions predominantly drive spatiotemporal contagion dynamics. In highly connected travel environments, stronger travel strength consistently accelerates epidemic spread. In contrast, the impact of travel duration is more complex and depends on transmission rate, reflecting the interplay of infection and recovery during transit. This study offers critical theoretical insights for designing public health interventions, such as travel restrictions and quarantine measures, to mitigate pandemic risks.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"522 ","pages":"Article 129993"},"PeriodicalIF":3.4,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134770","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Tucker decomposition with a temporal regularization for gap recovery in 3D motion capture data 三维运动捕捉数据间隙恢复的时间正则化Tucker分解

IF 3.4 2区数学

Applied Mathematics and Computation Pub Date : 2026-08-01 Epub Date: 2026-02-06 DOI: 10.1016/j.amc.2026.129996

Souad Mohaoui , Andrii Dmytryshyn

{"title":"Tucker decomposition with a temporal regularization for gap recovery in 3D motion capture data","authors":"Souad Mohaoui , Andrii Dmytryshyn","doi":"10.1016/j.amc.2026.129996","DOIUrl":"10.1016/j.amc.2026.129996","url":null,"abstract":"<div><div>The gap-filling problem in motion capture (MoCap) data poses a significant challenge in marker-based MoCap systems. These gaps occur due to missing markers during motion recording. MoCap sequence, a time series data characterized by high dimensionality and temporal dependencies, requires accurate recovery of missing markers to ensure smooth motion representation. Tensor decomposition is an effective solution that leverages the multi-way structure of MoCap data. This paper proposes two gap-filling algorithms based on Tucker decomposition, namely Tucker and TuckerTNN. Given the high-dimensional nature of MoCap data, traditional smoothness regularization methods, such as gradient-based techniques, are computationally expensive. Therefore, we introduce the temporal nuclear norm in TuckerTNN as an alternative regularization technique, providing a more efficient solution for large-scale datasets. Both models are minimized using the proximal block coordinate descent (Prox-BCD) method. We evaluated the proposed algorithms using motion capture sequences from the publicly available HDM05 dataset. Our results show that Tucker and TuckerTNN consistently outperform existing approaches, such as CP and SparseCP, in accuracy and efficiency, with TuckerTNN offering the best trade-off between the two.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"522 ","pages":"Article 129996"},"PeriodicalIF":3.4,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0