Pub Date : 2026-10-01Epub Date: 2025-12-15DOI: 10.1016/j.nonrwa.2025.104569
Nguyen Van Y , Le Cong Nhan , Le Xuan Truong
In the paper, we consider a fractional thermo-viscoelastic system with nonlinear sources and study some of its qualitative properties based on the interaction of the fractional viscoelastic and thermal damping with the external forces. By using the theory of linear Volterra differential-integral equations of convolution type and the Banach fixed point theorem, we first prove the local well-posedness and maximal regularity of the weak solution. Then by using the variational and potential well methods, we give a sufficient condition for the continuity in time of the local weak solution when it starts in the potential wells. Besides that the asymptotic behavior of global solution is also concerned, unlike the classical thermoelasticity where the total energy does not decays uniformly, since the effect of the fractional viscoelastic damping, we show that the total energy shall decay uniformly. In addition, its decay rate is given explicitly and optimally in the sense of Lasiecka et. al.[1]. Finally, since the presence of the nonlinear sources, we show that the blow-up phenomenon may occur in finite time provided that the solution starts outside the potential wells and the relaxation function is small in some sense. Also notice that the effect of the thermal damping is not enough to make the total energy decays to zero, but it could retards the blow-up phenomenon.
{"title":"Some qualitative properties of solution to a fractional thermo-viscoelastic system with nonlinear sources","authors":"Nguyen Van Y , Le Cong Nhan , Le Xuan Truong","doi":"10.1016/j.nonrwa.2025.104569","DOIUrl":"10.1016/j.nonrwa.2025.104569","url":null,"abstract":"<div><div>In the paper, we consider a fractional thermo-viscoelastic system with nonlinear sources and study some of its qualitative properties based on the interaction of the fractional viscoelastic and thermal damping with the external forces. By using the theory of linear Volterra differential-integral equations of convolution type and the Banach fixed point theorem, we first prove the local well-posedness and maximal regularity of the weak solution. Then by using the variational and potential well methods, we give a sufficient condition for the continuity in time of the local weak solution when it starts in the potential wells. Besides that the asymptotic behavior of global solution is also concerned, unlike the classical thermoelasticity where the total energy does not decays uniformly, since the effect of the fractional viscoelastic damping, we show that the total energy shall decay uniformly. In addition, its decay rate is given explicitly and optimally in the sense of Lasiecka et. al.[1]. Finally, since the presence of the nonlinear sources, we show that the blow-up phenomenon may occur in finite time provided that the solution starts outside the potential wells and the relaxation function is small in some sense. Also notice that the effect of the thermal damping is not enough to make the total energy decays to zero, but it could retards the blow-up phenomenon.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104569"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145791711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-01Epub Date: 2025-12-15DOI: 10.1016/j.nonrwa.2025.104577
Manjun Ma, Kaili Wang, Dan Li
This work is concerned with a nonlinear and non-monotonic reaction-diffusion system that models the dynamics of bacterial colonies with density-suppressed motility. We first establish the existence of global solutions and the attractivity of the uniform coexsitence state in a moving coordinate frame. Traveling waves are then transformed into fixed points of a mapping associated with an auxiliary system. By constructing upper and lower solutions, we next establish an invariant function space for this mapping. By using Schauder’s fixed point theorem, we derive implicit conditions for the existence of traveling waves. Through developing innovative analytical techniques, we further obtain explicit conditions that are corroborated by numerical computation and simulations of the considered bacterial colony model.
{"title":"Traveling waves in a bacterial colony model","authors":"Manjun Ma, Kaili Wang, Dan Li","doi":"10.1016/j.nonrwa.2025.104577","DOIUrl":"10.1016/j.nonrwa.2025.104577","url":null,"abstract":"<div><div>This work is concerned with a nonlinear and non-monotonic reaction-diffusion system that models the dynamics of bacterial colonies with density-suppressed motility. We first establish the existence of global solutions and the attractivity of the uniform coexsitence state in a moving coordinate frame. Traveling waves are then transformed into fixed points of a mapping associated with an auxiliary system. By constructing upper and lower solutions, we next establish an invariant function space for this mapping. By using Schauder’s fixed point theorem, we derive implicit conditions for the existence of traveling waves. Through developing innovative analytical techniques, we further obtain explicit conditions that are corroborated by numerical computation and simulations of the considered bacterial colony model.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104577"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145791712","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-01Epub Date: 2025-12-19DOI: 10.1016/j.nonrwa.2025.104578
Jilei Huang, Peidong Lei, Junquan Zhou
In this paper, we prove controllability results for non-dissipative heat equations under natural unilateral constraints on the control. When the controlled parabolic system is non-dissipative, the controllability under nonnegative control constraints may fail in large time for general L2-initial data and final target trajectories. We establish the controllability of the general target trajectory when the difference between the initial states of the controlled system and the target trajectory lies within a specified subspace of L2(Ω). Conversely, if the difference lies outside this subspace, we prove that there exist infinitely many initial states causing system uncontrollability. We also prove that under nonnegative control constraints, there exists a minimum positive time required to achieve general target trajectory controllability, showing a waiting time phenomenon.
{"title":"Controllability of non-dissipative heat equations under unilateral control constraints","authors":"Jilei Huang, Peidong Lei, Junquan Zhou","doi":"10.1016/j.nonrwa.2025.104578","DOIUrl":"10.1016/j.nonrwa.2025.104578","url":null,"abstract":"<div><div>In this paper, we prove controllability results for non-dissipative heat equations under natural unilateral constraints on the control. When the controlled parabolic system is non-dissipative, the controllability under nonnegative control constraints may fail in large time for general <em>L</em><sup>2</sup>-initial data and final target trajectories. We establish the controllability of the general target trajectory when the difference between the initial states of the controlled system and the target trajectory lies within a specified subspace of <em>L</em><sup>2</sup>(Ω). Conversely, if the difference lies outside this subspace, we prove that there exist infinitely many initial states causing system uncontrollability. We also prove that under nonnegative control constraints, there exists a minimum positive time required to achieve general target trajectory controllability, showing a waiting time phenomenon.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104578"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145791714","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-01Epub Date: 2025-12-18DOI: 10.1016/j.nonrwa.2025.104570
Paolo Piersanti
In this paper we establish the existence of solutions for a model describing the evolution of a linearly viscoelastic body which is constrained to remain confined in a prescribed half-space. The confinement condition under consideration is of Signorini type, and is given over the boundary of the linearly viscoelastic body under consideration. We show that one such variational problem admits solutions and we coin a novel concept of solution which, differently from the available literature, is valid even in the case where the viscoelastic body starts its motion in contact with the obstacle. Additionally, under additional assumptions on the constituting material, we show that when the applied body force is lifted the deformed linearly viscoelastic body returns to its rest position at an exponential rate of decay.
{"title":"Existence of solutions for time-dependent Signorini-type problems in linearised viscoelasticity","authors":"Paolo Piersanti","doi":"10.1016/j.nonrwa.2025.104570","DOIUrl":"10.1016/j.nonrwa.2025.104570","url":null,"abstract":"<div><div>In this paper we establish the existence of solutions for a model describing the evolution of a linearly viscoelastic body which is constrained to remain confined in a prescribed half-space. The confinement condition under consideration is of Signorini type, and is given over the boundary of the linearly viscoelastic body under consideration. We show that one such variational problem admits solutions and we coin a novel concept of solution which, differently from the available literature, is valid even in the case where the viscoelastic body starts its motion in contact with the obstacle. Additionally, under additional assumptions on the constituting material, we show that when the applied body force is lifted the deformed linearly viscoelastic body returns to its rest position at an exponential rate of decay.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104570"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145791716","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study simultaneous homogenization and dimensional reduction of integral functionals for maps in manifold-valued Sobolev spaces. Due to the superlinear growth regime, we prove that the density of the Γ-limit is a tangential quasiconvex integrand represented by a cell formula.
{"title":"Homogenization and 3D-2D dimension reduction of a functional on manifold valued Sobolev spaces","authors":"Michela Eleuteri , Luca Lussardi , Andrea Torricelli , Elvira Zappale","doi":"10.1016/j.nonrwa.2025.104579","DOIUrl":"10.1016/j.nonrwa.2025.104579","url":null,"abstract":"<div><div>We study simultaneous homogenization and dimensional reduction of integral functionals for maps in manifold-valued Sobolev spaces. Due to the superlinear growth regime, we prove that the density of the Γ-limit is a tangential quasiconvex integrand represented by a cell formula.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104579"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145791742","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-10-01Epub Date: 2026-02-20DOI: 10.1016/j.cam.2026.117450
Xiongxiong Du, Xiaoling Han
In this study, we explore the spatiotemporal dynamics of a discrete time-space predator-prey system with prey refuge and cross-diffusion. Through stability and bifurcation analyses, the conditions for the formation of Turing patterns are derived, and three nonlinear mechanisms for pattern formation are found, namely, pure Turing instability, flip-Turing instability and Neimark-Sacker-Turing instability. Numerical simulations have unveiled the rich dynamics within discrete predator-prey model. In spatially homogeneous conditions, it exhibits stable homogeneous steady states, homogeneous periodic, quasi-periodic and chaotic oscillatory states. In spatially inhomogeneous conditions, various prey patterns are described, including spots, stripes, labyrinths, spirals, phobic patterns and many intermediate patterns. These richer nonlinear dynamical characteristics contribute to a deeper understanding of the complex pattern formation in spatially diffusion discrete predator-prey systems.
{"title":"Analysis of spatiotemporal complexity in a discrete time-space predator-prey system with prey refuge and cross-diffusion","authors":"Xiongxiong Du, Xiaoling Han","doi":"10.1016/j.cam.2026.117450","DOIUrl":"10.1016/j.cam.2026.117450","url":null,"abstract":"<div><div>In this study, we explore the spatiotemporal dynamics of a discrete time-space predator-prey system with prey refuge and cross-diffusion. Through stability and bifurcation analyses, the conditions for the formation of Turing patterns are derived, and three nonlinear mechanisms for pattern formation are found, namely, pure Turing instability, flip-Turing instability and Neimark-Sacker-Turing instability. Numerical simulations have unveiled the rich dynamics within discrete predator-prey model. In spatially homogeneous conditions, it exhibits stable homogeneous steady states, homogeneous periodic, quasi-periodic and chaotic oscillatory states. In spatially inhomogeneous conditions, various prey patterns are described, including spots, stripes, labyrinths, spirals, phobic patterns and many intermediate patterns. These richer nonlinear dynamical characteristics contribute to a deeper understanding of the complex pattern formation in spatially diffusion discrete predator-prey systems.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"484 ","pages":"Article 117450"},"PeriodicalIF":2.6,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147386624","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}
Pub Date : 2026-10-01Epub Date: 2026-02-21DOI: 10.1016/j.cam.2026.117479
Ke-Yu Zhu , Gui-Xian Tian , Shu-Yu Cui
Given a graph G with vertex set and a graph H of order n2, the vertex complemented corona, denoted by , is the graph produced by copying H n1 times, with the ith copy of H corresponding to the vertex vi, and then adding edges between any vertex in V(G)∖{vi} and any vertex of the ith copy of H. The present article deals with quantum state transfer of vertex complemented coronas concerning signless Laplacian matrix. Our research investigates conditions in which signless Laplacian perfect state transfer exists or not on vertex complemented coronas. Additionally, we also provide some mild conditions for the class of graphs under consideration that allow signless Laplacian pretty good state transfer.
{"title":"Signless Laplacian state transfer on vertex complemented coronas","authors":"Ke-Yu Zhu , Gui-Xian Tian , Shu-Yu Cui","doi":"10.1016/j.cam.2026.117479","DOIUrl":"10.1016/j.cam.2026.117479","url":null,"abstract":"<div><div>Given a graph <em>G</em> with vertex set <span><math><mrow><mi>V</mi><mrow><mo>(</mo><mi>G</mi><mo>)</mo></mrow><mo>=</mo><mrow><mo>{</mo><msub><mi>v</mi><mn>1</mn></msub><mo>,</mo><msub><mi>v</mi><mn>2</mn></msub><mo>,</mo><mo>…</mo><mo>,</mo><msub><mi>v</mi><msub><mi>n</mi><mn>1</mn></msub></msub><mo>}</mo></mrow></mrow></math></span> and a graph <em>H</em> of order <em>n</em><sub>2</sub>, the vertex complemented corona, denoted by <span><math><mrow><mi>G</mi><mover><mo>∘</mo><mo>˜</mo></mover><mi>H</mi></mrow></math></span>, is the graph produced by copying <em>H n</em><sub>1</sub> times, with the <em>i</em>th copy of <em>H</em> corresponding to the vertex <em>v<sub>i</sub></em>, and then adding edges between any vertex in <em>V</em>(<em>G</em>)∖{<em>v<sub>i</sub></em>} and any vertex of the <em>i</em>th copy of <em>H</em>. The present article deals with quantum state transfer of vertex complemented coronas concerning signless Laplacian matrix. Our research investigates conditions in which signless Laplacian perfect state transfer exists or not on vertex complemented coronas. Additionally, we also provide some mild conditions for the class of graphs under consideration that allow signless Laplacian pretty good state transfer.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"484 ","pages":"Article 117479"},"PeriodicalIF":2.6,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147386625","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}
Pub Date : 2026-10-01Epub Date: 2026-02-22DOI: 10.1016/j.cam.2026.117477
Omar El Ogri , Jaouad EL-Mekkaoui , Mohamed Benslimane , Amal Hjouji
Image analysis is a classic and commonplace task in the field of computer vision, widely applied over the past decade. Many existing methods in the literature are designed for signal and image analysis using the moments method show that most Dual Hahn moments applications are based on orthogonal polynomials of low order (n ≤ 128). However, the computation of high-order Dual Hahn polynomials remains highly constrained. Consequently, the primary objective of this study is to introduce two novel, stable, and efficient algorithms specifically designed for the computation of high-order Dual Hahn moments. The two algorithms rely on recently developed recurrence relations and the Gram-Schmidt Process (GSP), which take into account both the variable and order , removing the terms responsible for numerical fluctuations and excessive computation time, especially at high orders. The GSP is then commonly used to correct numerical instability during the calculation of high-order Discrete Orthogonal Dual Hahn Polynomials (DODHPs). These algorithms accelerate the implementation of DODHPs and ensure the numerical stability of orthogonal moments up to the final order through an analysis of the coefficient distribution within the polynomial matrix. An efficient method has also been developed to expedite the reconstruction time of large size 1D signals. To evaluate the proposed algorithms, we present several experimental tests on sets of signals and images. In this context, we evaluate our algorithms for compression and reconstruction of large 1D and 2D signals. Then, in recognition, we used our descriptor vector based on the proposed algorithms for image feature extraction, as well as the deep learning method DNN for image classification and prediction. These results demonstrate that the proposed algorithms for the speed and stability of large-size signals and 2D images outperform conventional methods and other types of existing moments.
{"title":"An efficient computational high-order Dual Hahn polynomials approach for reconstruction, compression, and recognition of large-size signals using machine learning","authors":"Omar El Ogri , Jaouad EL-Mekkaoui , Mohamed Benslimane , Amal Hjouji","doi":"10.1016/j.cam.2026.117477","DOIUrl":"10.1016/j.cam.2026.117477","url":null,"abstract":"<div><div>Image analysis is a classic and commonplace task in the field of computer vision, widely applied over the past decade. Many existing methods in the literature are designed for signal and image analysis using the moments method show that most Dual Hahn moments applications are based on orthogonal polynomials of low order (<em>n</em> ≤ 128). However, the computation of high-order Dual Hahn polynomials remains highly constrained. Consequently, the primary objective of this study is to introduce two novel, stable, and efficient algorithms specifically designed for the computation of high-order Dual Hahn moments. The two algorithms rely on recently developed recurrence relations and the Gram-Schmidt Process (GSP), which take into account both the variable <span><math><mi>s</mi></math></span> and order <span><math><mi>n</mi></math></span>, removing the terms responsible for numerical fluctuations and excessive computation time, especially at high orders. The GSP is then commonly used to correct numerical instability during the calculation of high-order Discrete Orthogonal Dual Hahn Polynomials (DODHPs). These algorithms accelerate the implementation of DODHPs and ensure the numerical stability of orthogonal moments up to the final order through an analysis of the coefficient distribution within the polynomial matrix. An efficient method has also been developed to expedite the reconstruction time of large size 1D signals. To evaluate the proposed algorithms, we present several experimental tests on sets of signals and images. In this context, we evaluate our algorithms for compression and reconstruction of large 1D and 2D signals. Then, in recognition, we used our descriptor vector based on the proposed algorithms for image feature extraction, as well as the deep learning method DNN for image classification and prediction. These results demonstrate that the proposed algorithms for the speed and stability of large-size signals and 2D images outperform conventional methods and other types of existing moments.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"484 ","pages":"Article 117477"},"PeriodicalIF":2.6,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147386628","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}
Pub Date : 2026-10-01Epub Date: 2026-02-24DOI: 10.1016/j.cam.2026.117469
Xiangli Li , Zhiling Wang , Binglan Li
In this paper, based on the excellent properties of Newton method, and the motivation of sufficient descent condition, we propose a new spectral hybrid conjugate gradient method. By using the secant line condition, the appropriate combination weight parameter is calculated. The spectral parameter is obtained under the rule of sufficient descent for search direction without any line search. Using the Wolfe line search, we prove the global convergence of the proposed method. Finally, numerical results show that the proposed method is effective.
{"title":"A improved spectral hybrid conjugate gradient method for unconstrained optimization","authors":"Xiangli Li , Zhiling Wang , Binglan Li","doi":"10.1016/j.cam.2026.117469","DOIUrl":"10.1016/j.cam.2026.117469","url":null,"abstract":"<div><div>In this paper, based on the excellent properties of Newton method, and the motivation of sufficient descent condition, we propose a new spectral hybrid conjugate gradient method. By using the secant line condition, the appropriate combination weight parameter is calculated. The spectral parameter is obtained under the rule of sufficient descent for search direction without any line search. Using the Wolfe line search, we prove the global convergence of the proposed method. Finally, numerical results show that the proposed method is effective.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"484 ","pages":"Article 117469"},"PeriodicalIF":2.6,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147386637","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}
Pub Date : 2026-10-01Epub Date: 2026-02-26DOI: 10.1016/j.cam.2026.117533
Hong Seo Ryoo
This paper illustrates with a small example that the algorithm proposed in [1] solves GLMP only locally, contrary to what is claimed in the paper that it is a global optimization algorithm.
{"title":"Comments on “An efficient algorithm for solving generalized linear multiplicative programming” by S. Liu and Y. Zhao","authors":"Hong Seo Ryoo","doi":"10.1016/j.cam.2026.117533","DOIUrl":"10.1016/j.cam.2026.117533","url":null,"abstract":"<div><div>This paper illustrates with a small example that the algorithm proposed in [1] solves GLMP only locally, contrary to what is claimed in the paper that it is a global optimization algorithm.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"484 ","pages":"Article 117533"},"PeriodicalIF":2.6,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147386901","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}
扫码关注我们
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号