Pub Date : 2023-09-28DOI: 10.1007/s40314-023-02454-z
Naime Demirtaş, Orhan Dalkılıç
{"title":"Evaluation of medical diagnosis of prostate cancer based on fuzzy TOPSIS–database interaction","authors":"Naime Demirtaş, Orhan Dalkılıç","doi":"10.1007/s40314-023-02454-z","DOIUrl":"https://doi.org/10.1007/s40314-023-02454-z","url":null,"abstract":"","PeriodicalId":50649,"journal":{"name":"Computational & Applied Mathematics","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135386819","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 : 2023-09-25DOI: 10.1007/s40314-023-02392-w
Liliane B. Barichello, Rudnei D. da Cunha
{"title":"Correction: On the solution of systems of linear equations associated to the ADO method in particle transport problems","authors":"Liliane B. Barichello, Rudnei D. da Cunha","doi":"10.1007/s40314-023-02392-w","DOIUrl":"https://doi.org/10.1007/s40314-023-02392-w","url":null,"abstract":"","PeriodicalId":50649,"journal":{"name":"Computational & Applied Mathematics","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135770724","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 : 2023-09-24DOI: 10.1007/s40314-023-02459-8
Bichitra Kumar Lenka, Swaroop Nandan Bora
{"title":"Limiting behaviour of non-autonomous Caputo-type time-delay systems and initial-time on the real number line","authors":"Bichitra Kumar Lenka, Swaroop Nandan Bora","doi":"10.1007/s40314-023-02459-8","DOIUrl":"https://doi.org/10.1007/s40314-023-02459-8","url":null,"abstract":"","PeriodicalId":50649,"journal":{"name":"Computational & Applied Mathematics","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135925800","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}
Abstract In this article, we globalize the quasi-Newton algorithm proposed in Macías et al. (Appl Math Comput 441:127678, 2023) introducing an exact line search, we propose a polynomial approximation to the merit function and we deduce a sufficient condition for its minimization interval. We use the exact merit function and its approximation to propose two global quasi-Newton algorithms for solving matrix polynomial equations. For each algorithm, we prove that the exact line search does not affect the convergence of quasi-Newton method. In addition, we present comparative numerical tests of the algorithmic proposals in which we also compare with global Newton’s method.
本文将Macías等人提出的拟牛顿算法(appll Math compuput 441:127678, 2023)进行了全局化，引入了精确线搜索，给出了价值函数的多项式逼近，并推导了其最小区间的充分条件。利用精确价值函数及其近似，提出了求解矩阵多项式方程的两种全局拟牛顿算法。对于每一种算法，我们都证明了精确线搜索不影响拟牛顿法的收敛性。此外，我们还提出了算法建议的比较数值测试，其中我们还与全局牛顿方法进行了比较。
{"title":"Two global quasi-Newton algorithms for solving matrix polynomial equations","authors":"Mauricio Macías, Rosana Pérez, Héctor Jairo Martínez","doi":"10.1007/s40314-023-02450-3","DOIUrl":"https://doi.org/10.1007/s40314-023-02450-3","url":null,"abstract":"Abstract In this article, we globalize the quasi-Newton algorithm proposed in Macías et al. (Appl Math Comput 441:127678, 2023) introducing an exact line search, we propose a polynomial approximation to the merit function and we deduce a sufficient condition for its minimization interval. We use the exact merit function and its approximation to propose two global quasi-Newton algorithms for solving matrix polynomial equations. For each algorithm, we prove that the exact line search does not affect the convergence of quasi-Newton method. In addition, we present comparative numerical tests of the algorithmic proposals in which we also compare with global Newton’s method.","PeriodicalId":50649,"journal":{"name":"Computational & Applied Mathematics","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136307666","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 : 2023-09-20DOI: 10.1007/s40314-023-02430-7
Rizwan Gul, Muhammad Shabir, Muhammad Naeem
{"title":"A comprehensive study on $$(alpha , beta )$$-bipolar fuzzified rough set model based on bipolar fuzzy preference relation and corresponding decision-making applications","authors":"Rizwan Gul, Muhammad Shabir, Muhammad Naeem","doi":"10.1007/s40314-023-02430-7","DOIUrl":"https://doi.org/10.1007/s40314-023-02430-7","url":null,"abstract":"","PeriodicalId":50649,"journal":{"name":"Computational & Applied Mathematics","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136263354","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 : 2023-09-15DOI: 10.1007/s40314-023-02444-1
Sedaghat Shahmorad, Younes Talaei, Cemil Tunç
{"title":"Review of recursive and operational approaches of the Tau method with a new extension","authors":"Sedaghat Shahmorad, Younes Talaei, Cemil Tunç","doi":"10.1007/s40314-023-02444-1","DOIUrl":"https://doi.org/10.1007/s40314-023-02444-1","url":null,"abstract":"","PeriodicalId":50649,"journal":{"name":"Computational & Applied Mathematics","volume":"205 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135396715","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 : 2023-09-15DOI: 10.1007/s40314-023-02447-y
V. Gokulakrishnan, R. Srinivasan
{"title":"Exponential input-to-state stabilization of stochastic nonlinear reaction–diffusion systems with time-varying delays and exogenous disturbances via boundary control","authors":"V. Gokulakrishnan, R. Srinivasan","doi":"10.1007/s40314-023-02447-y","DOIUrl":"https://doi.org/10.1007/s40314-023-02447-y","url":null,"abstract":"","PeriodicalId":50649,"journal":{"name":"Computational & Applied Mathematics","volume":"356 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135397240","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}
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