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Recovery conditions for generalized orthogonal matching pursuit based coherence 基于广义正交匹配追踪的相干恢复条件
IF 2.1 2区 数学
Journal of Computational and Applied Mathematics Pub Date : 2025-03-27 DOI: 10.1016/j.cam.2025.116648
Hanbing Liu , Chongjun Li , Yijun Zhong
{"title":"Recovery conditions for generalized orthogonal matching pursuit based coherence","authors":"Hanbing Liu ,&nbsp;Chongjun Li ,&nbsp;Yijun Zhong","doi":"10.1016/j.cam.2025.116648","DOIUrl":"10.1016/j.cam.2025.116648","url":null,"abstract":"<div><div>In sparse approximation, a key theoretical issue is the guarantee conditions for the exact recovery of <span><math><mi>s</mi></math></span>-sparse signals. The Orthogonal Matching Pursuit (OMP) and the Generalized Orthogonal Matching Pursuit (GOMP) are two important algorithms commonly used in sparse approximation. The main difference is that the OMP algorithm selects one atom in each iteration, while the GOMP algorithm selects multiple atoms. In the current theoretical analysis, the GOMP algorithm can only guarantee the selection of at least one correct atom in each iteration. However, in practical applications, the GOMP algorithm has been shown to select multiple correct atoms in each iteration but lacks theoretical guarantee conditions. In this paper, we discuss the extended coherence-based conditions for exact support recovery of the <span><math><mi>s</mi></math></span>-sparse signals using the GOMP algorithm. We propose several sufficient conditions for the GOMP algorithm to select <span><math><mi>M</mi></math></span> (<span><math><mrow><mn>1</mn><mo>≤</mo><mi>M</mi><mo>≤</mo><mi>s</mi></mrow></math></span>) correct atoms in each iteration in noiseless and bounded-noise cases respectively. Some of the conditions involve the decay of nonzero entries in sparse signals. Numerical experiments demonstrate the effectiveness of the proposed sufficient conditions.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"469 ","pages":"Article 116648"},"PeriodicalIF":2.1,"publicationDate":"2025-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143734733","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
Optimizing insurance investments: The role of liquidity risk in asset-liability management 优化保险投资：流动性风险在资产负债管理中的作用
IF 2.1 2区 数学
Journal of Computational and Applied Mathematics Pub Date : 2025-03-26 DOI: 10.1016/j.cam.2025.116636
Çiğdem Lazoğlu , Uğur Karabey
{"title":"Optimizing insurance investments: The role of liquidity risk in asset-liability management","authors":"Çiğdem Lazoğlu ,&nbsp;Uğur Karabey","doi":"10.1016/j.cam.2025.116636","DOIUrl":"10.1016/j.cam.2025.116636","url":null,"abstract":"<div><div>In the insurance sector, the timing and amount of liabilities are inherently uncertain, which makes it difficult for companies to evaluate their assets accurately. This study argues that companies should optimize assets and insurance products by considering their liquidity to manage the effects of these uncertainties. In the study, the assets are assumed to consist of a Treasury bill, cash, and a bond subject to default risk with liquidity risk. In addition, the liquidity factor is added to the liability process to examine the effect of the liquidity of the insurance product on the optimization of assets. The study provides closed-form solutions for optimal investment strategies under both exponential and power distribution functions using the Hamilton–Jacobi–Bellman (HJB) equations to optimize the asset-liability ratio. Finally, the effect of critical parameters such as default probabilities and liquidity on these strategies is examined with a numerical example.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"470 ","pages":"Article 116636"},"PeriodicalIF":2.1,"publicationDate":"2025-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143816940","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
Effectiveness of Picard–Abbas iteration for fixed point approximation of mappings satisfying condition (E) Picard-Abbas迭代对满足条件(E)的映射不动点逼近的有效性
IF 2.1 2区 数学
Journal of Computational and Applied Mathematics Pub Date : 2025-03-26 DOI: 10.1016/j.cam.2025.116649
Bashir Nawaz , Krzysztof Gdawiec , Kifayat Ullah
{"title":"Effectiveness of Picard–Abbas iteration for fixed point approximation of mappings satisfying condition (E)","authors":"Bashir Nawaz ,&nbsp;Krzysztof Gdawiec ,&nbsp;Kifayat Ullah","doi":"10.1016/j.cam.2025.116649","DOIUrl":"10.1016/j.cam.2025.116649","url":null,"abstract":"<div><div>In this paper, we investigate the convergence properties of mappings that satisfy condition (<span><math><mi>E</mi></math></span>) by employing the recently introduced Picard–Abbas iteration process. We establish both weak and strong fixed-point convergence results for these mappings. To validate our findings, we provide a novel numerical example. Furthermore, we generate polynomiographs using the proposed iteration process and compare them with those obtained from other methods. This comparison highlights the effectiveness and potential advantages of our approach.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"469 ","pages":"Article 116649"},"PeriodicalIF":2.1,"publicationDate":"2025-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143739210","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
A generalized Legendre transform method and its applications 广义勒让德变换方法及其应用
IF 2.1 2区 数学
Journal of Computational and Applied Mathematics Pub Date : 2025-03-25 DOI: 10.1016/j.cam.2025.116646
Imtiaz Waheed, Mujeeb ur Rehman
{"title":"A generalized Legendre transform method and its applications","authors":"Imtiaz Waheed,&nbsp;Mujeeb ur Rehman","doi":"10.1016/j.cam.2025.116646","DOIUrl":"10.1016/j.cam.2025.116646","url":null,"abstract":"<div><div>The article aims to develop the shifted Legendre transform method in the context of <span><math><mi>Ψ</mi></math></span>-fractional calculus, termed as the <span><math><mi>Ψ</mi></math></span>-shifted Legendre transform. The proposed transform method generalizes the classical Legendre transform. The <span><math><mi>Ψ</mi></math></span>-shifted Legendre transform is applied to differential and integral operators. Moreover, the inverse operator, various operational properties of <span><math><mi>Ψ</mi></math></span>-shifted Legendre polynomials, and the <span><math><mi>Ψ</mi></math></span>-shifted transform method are investigated. The convolution for the <span><math><mi>Ψ</mi></math></span>-shifted Legendre transform in the framework of <span><math><mi>Ψ</mi></math></span>-fractional calculus is also determined. Finally, fractional differential equations involving the <span><math><mi>Ψ</mi></math></span>-fractional derivative are solved using the <span><math><mi>Ψ</mi></math></span>-shifted Legendre transform method.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"468 ","pages":"Article 116646"},"PeriodicalIF":2.1,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143706103","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
Unveiling fractional-order dynamics: A new method for analyzing Rössler Chaos 揭示分数阶动力学：一种分析Rössler混沌的新方法
IF 2.1 2区 数学
Journal of Computational and Applied Mathematics Pub Date : 2025-03-24 DOI: 10.1016/j.cam.2025.116639
Mudasir Younis , Haroon Ahmad , Mahpeyker Ozturk , Fahim Ud Din , Muhammad Qasim
{"title":"Unveiling fractional-order dynamics: A new method for analyzing Rössler Chaos","authors":"Mudasir Younis ,&nbsp;Haroon Ahmad ,&nbsp;Mahpeyker Ozturk ,&nbsp;Fahim Ud Din ,&nbsp;Muhammad Qasim","doi":"10.1016/j.cam.2025.116639","DOIUrl":"10.1016/j.cam.2025.116639","url":null,"abstract":"<div><div>In this manuscript, we investigate the fractional-order Rössler attractor using the Atangana–Baleanu derivative within the metric fixed point theory framework. We establish the existence and uniqueness criteria for the fractional-order Rössler model by employing the <span><math><mi>ℱ</mi></math></span>-type rational contraction technique through the lens of Atangana–Baleanu in the environment of extended suprametric space. Furthermore, we construct a solid mathematical foundation by applying interpolative Kannan and Reich-Rus-Ćirić type contractions together with specific examples to validate the fixed point results. The two-step Lagrange method performs fractional derivative approximation to study the attractor’s geometric evolution under different parametric conditions. Numerical simulations created new classifications of chaotic behavior that enhance our understanding of fractional dynamics working with chaos theory.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"468 ","pages":"Article 116639"},"PeriodicalIF":2.1,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143706104","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
An improved theoretical analysis of convolutional sparse coding using stripe coherence 基于条纹相干的卷积稀疏编码改进理论分析
IF 2.1 2区 数学
Journal of Computational and Applied Mathematics Pub Date : 2025-03-24 DOI: 10.1016/j.cam.2025.116631
Haifeng Li , Wengu Chen
{"title":"An improved theoretical analysis of convolutional sparse coding using stripe coherence","authors":"Haifeng Li ,&nbsp;Wengu Chen","doi":"10.1016/j.cam.2025.116631","DOIUrl":"10.1016/j.cam.2025.116631","url":null,"abstract":"<div><div>Convolutional sparse coding has proven to be very effective in a wide range of applications. Recent work addressed the theoretical performance of global orthogonal matching pursuit (OMP) using the stripe coherence that is a stronger characterization of the convolutional dictionary. In this paper, we further provide the theoretical analysis of convolutional sparse model. Our result improves the guarantee condition for global OMP based on convolutional sparse model. We also provide the theoretical guarantee for basis pursuit using stripe coherence based on convolutional sparse model, which is absent in the existing results.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"469 ","pages":"Article 116631"},"PeriodicalIF":2.1,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143714441","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
An improved PRP conjugate gradient algorithm with a damping factor within an automatic restarting strategy 在自动重启策略中引入阻尼因子的改进PRP共轭梯度算法
IF 2.1 2区 数学
Journal of Computational and Applied Mathematics Pub Date : 2025-03-22 DOI: 10.1016/j.cam.2025.116638
Xiao Liang Dong
{"title":"An improved PRP conjugate gradient algorithm with a damping factor within an automatic restarting strategy","authors":"Xiao Liang Dong","doi":"10.1016/j.cam.2025.116638","DOIUrl":"10.1016/j.cam.2025.116638","url":null,"abstract":"<div><div>In this paper, we present an improved Polak–Ribière–Polyak (PRP) conjugate gradient algorithm, in which the search direction satisfies the sufficient descent condition with strong Wolfe conditions. A “circuit breaker” mechanism is suggested in the monitoring and pre-warning system concerned with a poor approximation to the scalar β<span><math><msubsup><mrow></mrow><mrow><mi>k</mi></mrow><mrow><mi>P</mi><mi>R</mi><mi>P</mi></mrow></msubsup></math></span>. The resulting instinct self-correcting property is satisfied at each iteration, which can be viewed as the inheritance and development of the original PRP method. Meanwhile, several auxiliary functions are introduced, which achieve twin goals of manipulating the magnitude of conjugate gradient parameter and making swift changes to incorrect predictions if jamming occurs in actual computation. Under mild conditions, we establish the global convergence of the new algorithms and its variants for the general function. Numerical results show our algorithms are practical and effective for the test problems. Finally, the preliminary numerical experiments are given to indicate the efficiency of the proposed methods for image restoration.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"468 ","pages":"Article 116638"},"PeriodicalIF":2.1,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143706102","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
A Parallel Iterative hybrid Gauss–Jacobi–Seidel method 并行迭代混合Gauss-Jacobi-Seidel方法
IF 2.1 2区 数学
Journal of Computational and Applied Mathematics Pub Date : 2025-03-22 DOI: 10.1016/j.cam.2025.116629
Matheus da Silva Menezes , Paulo Henrique Lopes Silva , João Paulo Caraú de Oliveira , Raimundo Leandro Andrade Marques , Ivan Mezzomo
{"title":"A Parallel Iterative hybrid Gauss–Jacobi–Seidel method","authors":"Matheus da Silva Menezes ,&nbsp;Paulo Henrique Lopes Silva ,&nbsp;João Paulo Caraú de Oliveira ,&nbsp;Raimundo Leandro Andrade Marques ,&nbsp;Ivan Mezzomo","doi":"10.1016/j.cam.2025.116629","DOIUrl":"10.1016/j.cam.2025.116629","url":null,"abstract":"<div><div>In this paper, we introduce a new iterative hybrid method to find the solution of linear algebraic systems based on the Gauss–Jacobi and Gauss–Seidel methods, named Jacobi–Seidel Parallel Iterative Method, JASPIoM for short. This method shows a iteration matrix that allows to parallelize the processing and can be utilized in serial or parallel architectures. The mathematical formulation is presented and the tests are performed in parallel ambiance and its performance is evaluated, considering the time of execution, in comparison to the serial and parallelized Gauss–Jacobi method and serial Gauss–Seidel method. The computational experiment aimed at focusing on the differences in performance, considering the speedup of execution in serial and parallel context. The results show that the JASPIoM method presents good performance, indicating the efficiency and potential of this scheme.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"468 ","pages":"Article 116629"},"PeriodicalIF":2.1,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143697720","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
A boundary-precise method of numerical integration over implicitly defined regions 隐式定义区域数值积分的边界精确方法
IF 2.1 2区 数学
Journal of Computational and Applied Mathematics Pub Date : 2025-03-21 DOI: 10.1016/j.cam.2025.116637
Xuejing Zhang , Huanhuan Ma , Xinyu Wu , Jiansong Deng
{"title":"A boundary-precise method of numerical integration over implicitly defined regions","authors":"Xuejing Zhang ,&nbsp;Huanhuan Ma ,&nbsp;Xinyu Wu ,&nbsp;Jiansong Deng","doi":"10.1016/j.cam.2025.116637","DOIUrl":"10.1016/j.cam.2025.116637","url":null,"abstract":"<div><div>In this paper, we introduce a boundary-precise method of numerical integration over implicitly defined regions using the idea of isogeometry. This method ensures precise boundary representations during the integration process by establishing proper local parameterizations near these boundaries based on the implicit representations. We establish an adaptive algorithm for the method, and provide two examples for integration over different types of regions. We also calculate the error while integrating by this method and provide detailed error estimates. When solving partial differential equations (PDEs) using weighted extended B-spline (WEB) method, the augmented matrix in the linear system of Galerkin framework is derived through integration, where this boundary-precise method can be applied. Three different types of examples are displayed and the results demonstrate the convergence of error and the stability of order.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"468 ","pages":"Article 116637"},"PeriodicalIF":2.1,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143686619","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
Closed-form solution-based fuzzy utility vectors acquired from trapezoidal fuzzy pairwise comparison matrices using logarithmic quadratic programming for improving fuzzy AHP decision-making systems 利用对数二次规划从梯形模糊两两比较矩阵中获取基于闭型解的模糊效用向量，改进模糊层次分析法决策系统
IF 2.1 2区 数学
Journal of Computational and Applied Mathematics Pub Date : 2025-03-18 DOI: 10.1016/j.cam.2025.116647
Zhou-Jing Wang
{"title":"Closed-form solution-based fuzzy utility vectors acquired from trapezoidal fuzzy pairwise comparison matrices using logarithmic quadratic programming for improving fuzzy AHP decision-making systems","authors":"Zhou-Jing Wang","doi":"10.1016/j.cam.2025.116647","DOIUrl":"10.1016/j.cam.2025.116647","url":null,"abstract":"<div><div>Closed-form solution-based fuzzy utility vectors acquired from trapezoidal fuzzy pairwise comparison matrices (TFPCMs) play significant roles in examining the quality of fuzzy evaluations in TFPCMs and improving the efficiency of fuzzy analytic hierarchy process based decision-making systems. This paper introduces a concept of consistent TFPCMs and develops crucial properties to expose inherent constraints among increasing spread indices, decreasing spread indices, and core and support uncertainty indices of fuzzy evaluations in a consistent TFPCM. The paper proposes two normalization frames called core normalized trapezoidal fuzzy vectors and support normalized trapezoidal fuzzy vectors. By categorizing all TFPCMs with the same order into two groups, two logarithmic quadratic programming models are respectively built to seek normalized trapezoidal fuzzy utility vectors from TFPCMs. The two logarithmic quadratic programming models are subsequently integrated into one whose closed-form solution is identified by Lagrange multiplier method. A closed-form solution-based consistency index is presented to figure out inconsistency degrees of TFPCMs. An illustration with one consistent TFPCM and five inconsistent TFPCMs is offered to reveal the use of the presented method and a study comparing the developed model with fuzzy mean methods and fuzzy eigenvector methods is conducted to demonstrate the performance and superiority of the closed-form solution-based fuzzy utility acquisition method.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"468 ","pages":"Article 116647"},"PeriodicalIF":2.1,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143697719","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
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