Journal of Computational and Applied Mathematics最新文献_第2页

Invertible matrices under non-Archimedean absolute value and its inverse 非阿基米德绝对值下的可逆矩阵及其逆

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-04-19 DOI: 10.1016/j.cam.2025.116700

Suhua Li, Chaoqian Li

{"title":"Invertible matrices under non-Archimedean absolute value and its inverse","authors":"Suhua Li, Chaoqian Li","doi":"10.1016/j.cam.2025.116700","DOIUrl":"10.1016/j.cam.2025.116700","url":null,"abstract":"<div><div>Invertible matrices play a crucial role in various areas of mathematics, science and engineering. Although there are many ways to determine whether a matrix is invertible or not, it is still a fundamental and an important research work in linear algebra, especially in large-scale numerical computations. Based on the non-Archimedean absolute value, we in this paper present a new class of invertible matrices called <em>doubly strictly diagonally dominant matrices under non-Archimedean absolute value</em> (<em>DSDD</em><span><math><msub><mrow></mrow><mrow><mi>n</mi><mo>.</mo><mi>A</mi><mo>.</mo></mrow></msub></math></span> <em>matrices</em>). It includes the <em>strictly diagonally dominant matrices under non-Archimedean absolute value</em> (<em>SDD</em><span><math><msub><mrow></mrow><mrow><mi>n</mi><mo>.</mo><mi>A</mi><mo>.</mo></mrow></msub></math></span> <em>matrices</em>) presented by Nica and Sprague in [The American Mathematical Monthly, 130 (2023) 267-275]. Some examples are given to show the relationships of <em>SDD</em><span><math><msub><mrow></mrow><mrow><mi>n</mi><mo>.</mo><mi>A</mi><mo>.</mo></mrow></msub></math></span> <em>matrices</em>, <em>DSDD</em><span><math><msub><mrow></mrow><mrow><mi>n</mi><mo>.</mo><mi>A</mi><mo>.</mo></mrow></msub></math></span> <em>matrices</em>, <em>SDD matrices</em> (<em>strictly diagonally dominant matrices under Archimedean absolute value</em>), <em>DSDD matrices</em> (<em>doubly strictly diagonally dominant matrices under Archimedean absolute value</em>), and <em>H-matrices</em>. Moreover, it is proved that the inverse of <em>DSDD</em><span><math><msub><mrow></mrow><mrow><mi>n</mi><mo>.</mo><mi>A</mi><mo>.</mo></mrow></msub></math></span> <em>matrices</em> is also <em>DSDD</em><span><math><msub><mrow></mrow><mrow><mi>n</mi><mo>.</mo><mi>A</mi><mo>.</mo></mrow></msub></math></span> in some cases, which displays remarkable difference with the inverse of <em>DSDD matrices</em> and <em>SDD matrices</em>.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"470 ","pages":"Article 116700"},"PeriodicalIF":2.1,"publicationDate":"2025-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143863984","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

Symmetric structured finite element model updating with prescribed partial eigenvalues while maintaining no spillover 对称结构有限元模型在保持无溢出的前提下，以规定的部分特征值进行更新

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-04-19 DOI: 10.1016/j.cam.2025.116698

H. Lalhriatpuia, Tanay Saha

引用次数: 0

Computationally efficient selection criterion of initial equation in STLN-based structured low-rank approximation 基于stn的结构化低秩逼近中初始方程的计算效率选择准则

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-04-19 DOI: 10.1016/j.cam.2025.116703

Natsuki Yoshino , Akira Tanaka

{"title":"Computationally efficient selection criterion of initial equation in STLN-based structured low-rank approximation","authors":"Natsuki Yoshino , Akira Tanaka","doi":"10.1016/j.cam.2025.116703","DOIUrl":"10.1016/j.cam.2025.116703","url":null,"abstract":"<div><div>The problem of structured low-rank approximation (SLRA) of a given matrix arises in a wide range of applications. This problem can be solved by the structured total least norm (STLN) method, which formulates it as a linear equation called an “initial equation”. Because this equation directly impacts the performance of STLN-based SLRA, certain selection criteria have been proposed. However, these criteria are computationally intensive and their theoretical validity has not been sufficiently investigated. In this paper, we theoretically analyze the relationship between the original problem and an initial equation, and subsequently propose a novel selection criterion with a computational order of <span><math><mrow><mi>O</mi><mrow><mo>(</mo><msup><mrow><mi>n</mi></mrow><mrow><mn>3</mn></mrow></msup><mo>)</mo></mrow></mrow></math></span>, in contrast to the complexity of <span><math><mrow><mi>O</mi><mrow><mo>(</mo><msup><mrow><mi>n</mi></mrow><mrow><mn>4</mn></mrow></msup><mo>)</mo></mrow></mrow></math></span> incurred by conventional methods. We also demonstrate numerical experiments for Sylvester matrices to confirm that our selection criterion reduces not only the selection time of the initial equation, but also the overall calculation time of the STLN-based SLRA.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"470 ","pages":"Article 116703"},"PeriodicalIF":2.1,"publicationDate":"2025-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143860596","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

Dynamics analysis of a discrete diffusion predator–prey model with prey refuge 具有猎物庇护的离散扩散捕食者-猎物模型动力学分析

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-04-18 DOI: 10.1016/j.cam.2025.116706

Xiongxiong Du, Xiaoling Han

引用次数: 0

A nodally bound-preserving finite element method for time-dependent convection–diffusion equations 时变对流扩散方程的节点保界有限元方法

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-04-17 DOI: 10.1016/j.cam.2025.116691

Abdolreza Amiri , Gabriel R. Barrenechea , Tristan Pryer

引用次数: 0

Sampling with derivatives in finitely generated shift-invariant spaces 有限生成平移不变空间中的导数抽样

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-04-17 DOI: 10.1016/j.cam.2025.116692

Kumari Priyanka, A. Antony Selvan

引用次数: 0

Fuzzy random multi-objective optimization using a novel mixed fuzzy random inverse DEA model in input-output production 基于混合模糊随机逆DEA模型的投入产出生产模糊随机多目标优化

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-04-15 DOI: 10.1016/j.cam.2025.116717

Lizhen Huang, Lei Chen

{"title":"Fuzzy random multi-objective optimization using a novel mixed fuzzy random inverse DEA model in input-output production","authors":"Lizhen Huang, Lei Chen","doi":"10.1016/j.cam.2025.116717","DOIUrl":"10.1016/j.cam.2025.116717","url":null,"abstract":"<div><div>Inverse data envelopment analysis (DEA), which is an effective tool for determining inputs and outputs, is commonly applied in areas such as output prediction, resource allocation, and target setting. However, existing inverse DEA methods typically assume precise and deterministic data, which limits applicability in uncertain production environments, particularly when both random and fuzzy environments are present. This study introduces a novel inverse DEA approach for optimizing inputs and outputs in mixed uncertainty environments. The proposed model allows decision-makers to achieve target efficiency and meet various input/output targets under different production scale assumptions. First, a new optimality principle for multi-objective fuzzy random problems is presented and the necessary theoretical conditions for input/output calculations are derived. Second, an equivalent linear model is introduced to solve the inverse DEA problem with fuzzy random variables, thereby overcoming the challenges associated with nonlinear programming. Notably, the proposed model offers enhanced flexibility as it does not rely on specific fuzzy numbers or predefined assumptions regarding random distributions. Finally, the effectiveness of the model is validated through numerical examples and a case study, demonstrating its practical application in complex decision-making scenarios.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"470 ","pages":"Article 116717"},"PeriodicalIF":2.1,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143851755","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

Longitudinal quantile-based regression models using multivariate asymmetric heavy-tailed distributions and leapfrog HMC algorithm 基于多变量非对称重尾分布和跨越式HMC算法的纵向分位数回归模型

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-04-15 DOI: 10.1016/j.cam.2025.116690

Maryam Sabetrasekh, Iraj Kazemi

{"title":"Longitudinal quantile-based regression models using multivariate asymmetric heavy-tailed distributions and leapfrog HMC algorithm","authors":"Maryam Sabetrasekh, Iraj Kazemi","doi":"10.1016/j.cam.2025.116690","DOIUrl":"10.1016/j.cam.2025.116690","url":null,"abstract":"<div><div>Modeling longitudinal quantile regression in a multivariate framework poses particular computational and conceptual challenges due to the inherent complexity of multivariate dependencies. While univariate quantile-based models can be extended to higher dimensions via Gram-Schmidt orthogonalization, such extensions often have practical limitations. To address these challenges, this paper introduces a flexible family of multivariate asymmetric distributions using the probabilistic Rosenblatt transformation. This framework preserves conditional coherence across longitudinal quantile processes via a sequential likelihood factorization, provides an explicit characterization of quantiles shaped by distributional asymmetry and covariate effects, controls for the influence of outliers, and improves computational efficiency in the estimation process. For Bayesian inference, we implement a leapfrog Hamiltonian Monte Carlo algorithm with the No-U-Turn Sampler to estimate longitudinal quantile-based regression parameters. Simulation studies over various quantile levels demonstrate the method’s theoretical properties, while two empirical applications highlight its practical utility and superior performance.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"470 ","pages":"Article 116690"},"PeriodicalIF":2.1,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143838894","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

Joint group sparse coding and weighted nuclear norm for Poisson denoising 泊松去噪的联合群稀疏编码和加权核范数

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-04-14 DOI: 10.1016/j.cam.2025.116695

Jianguang Zhu , Wen Gao , Ying Wei , Binbin Hao

引用次数: 0

A fast solver for pentadiagonal Toeplitz systems with multiple right-hand sides 具有多个右手边的五对角Toeplitz系统的快速求解器

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-04-13 DOI: 10.1016/j.cam.2025.116697

Hcini Fahd

引用次数: 0