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Ball convergence of an efficient multi-step scheme for solving equationsand systems of equations 求解方程和方程组的有效多步格式的球收敛性
Applicationes Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/AM2416-7-2020
I. Argyros, S. George
{"title":"Ball convergence of an efficient multi-step scheme for solving equationsand systems of equations","authors":"I. Argyros, S. George","doi":"10.4064/AM2416-7-2020","DOIUrl":"https://doi.org/10.4064/AM2416-7-2020","url":null,"abstract":". Attention has been given recently to the study of local convergence of multi-step schemes to increase the convergence order for solving Banach space valued equations. The convergence criteria involve higher order derivatives, limiting applicability of these methods. In this study we use the first derivative only in our analysis to extend the usage of these schemes. The technique we use can be applied to other schemes to obtain the same advantages. Numerical experiments compare favorably our results to earlier ones.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"9 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72422286","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Trigonometric Bézier-like curves and transition curves 三角bsamizier曲线和过渡曲线
Applicationes Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/AM2401-7-2020
Aslı Ayar, B. Şahin
{"title":"Trigonometric Bézier-like curves and transition curves","authors":"Aslı Ayar, B. Şahin","doi":"10.4064/AM2401-7-2020","DOIUrl":"https://doi.org/10.4064/AM2401-7-2020","url":null,"abstract":". In this paper, planar cubic trigonometric Bézier curves with two shape parameters are considered. Appropriate conditions for these curves to be spiral are obtained and transition curves from the straight line to the straight line, from the straight line to the circle, from the circle to the circle with a C-shaped transition curve, from the circle to the circle with an S-shaped transition curve, from a circle to a circle where one of the circles lies inside of another circle are considered with the help of this spiral. Many numerical examples are also provided.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81600659","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Optimal control of a bilateral contact with friction 带摩擦的双边接触的最优控制
Applicationes Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/am2405-4-2021
A. Touzaline
{"title":"Optimal control of a bilateral contact with friction","authors":"A. Touzaline","doi":"10.4064/am2405-4-2021","DOIUrl":"https://doi.org/10.4064/am2405-4-2021","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86235254","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On a new method of analyzing properties of efficient, symmetric and linear values of TU-games 一种分析tu -对策有效、对称和线性值性质的新方法
Applicationes Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/am2414-5-2021
T. Radzik
{"title":"On a new method of analyzing properties of efficient, symmetric and linear values of TU-games","authors":"T. Radzik","doi":"10.4064/am2414-5-2021","DOIUrl":"https://doi.org/10.4064/am2414-5-2021","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87592249","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Extended convergence analysis of the Newton–Potra method under weak conditions 弱条件下Newton-Potra方法的扩展收敛性分析
Applicationes Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/AM2406-7-2020
I. Argyros, S. Shakhno, Yuriy Shunkin, H. Yarmola
{"title":"Extended convergence analysis of the Newton–Potra method under weak conditions","authors":"I. Argyros, S. Shakhno, Yuriy Shunkin, H. Yarmola","doi":"10.4064/AM2406-7-2020","DOIUrl":"https://doi.org/10.4064/AM2406-7-2020","url":null,"abstract":". We study a nonlinear equation with a nondifferentiable part. The semi-local convergence of the Newton–Potra method is proved under weaker (than in earlier research) conditions on derivatives and divided dif-ferences of the first order. Weaker semi-local convergence criteria and tighter error estimations are obtained. Hence, the applicability of this method is extended too. These advantages are obtained under the same computational effort.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89023064","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new heuristic parameter choice rule in Tikhonov regularization applied for Ritz approximation of an ill-posed problem 将吉洪诺夫正则化中的一种新的启发式参数选择规则应用于不适定问题的Ritz逼近
Applicationes Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/am2445-10-2021
T. Reginska
{"title":"A new heuristic parameter choice rule in Tikhonov regularization applied for Ritz approximation of an ill-posed problem","authors":"T. Reginska","doi":"10.4064/am2445-10-2021","DOIUrl":"https://doi.org/10.4064/am2445-10-2021","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85630199","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multiple Markov Gaussian processes 多重马尔可夫高斯过程
Applicationes Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/AM2411-1-2021
Z. Kowalski
{"title":"Multiple Markov Gaussian processes","authors":"Z. Kowalski","doi":"10.4064/AM2411-1-2021","DOIUrl":"https://doi.org/10.4064/AM2411-1-2021","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"9 1","pages":"65-78"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89478136","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Note on stability of the ruin time density in a Sparre Andersen risk model with exponential claim sizes 具有指数索赔规模的Sparre Andersen风险模型破产时间密度的稳定性注意事项
Applicationes Mathematicae Pub Date : 2020-01-01 DOI: 10.4064/am2412-9-2020
E. Gordienko, J. R. Chávez, P. Vázquez-Ortega
{"title":"Note on stability of the ruin time density in a Sparre Andersen risk model with exponential claim sizes","authors":"E. Gordienko, J. R. Chávez, P. Vázquez-Ortega","doi":"10.4064/am2412-9-2020","DOIUrl":"https://doi.org/10.4064/am2412-9-2020","url":null,"abstract":". In this note, the Sparre Andersen risk process with exponential claim sizes is considered. We derive upper bounds for deviations of the ruin time density when approximating the inter-claim time distribution. In particular, we treat approximation by means of empirical densities. In actuarial theory the significance of ruin probability is well-known (see Additionally, in certain the ruin time distribution has to estimated. problem arises, for in the cases of sudden natural when the of claims","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75831231","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Poorly convex functions and their application to an optimization problem 差凸函数及其在优化问题中的应用
Applicationes Mathematicae Pub Date : 2020-01-01 DOI: 10.4064/am2389-10-2019
T. Radzik
{"title":"Poorly convex functions and their application to an optimization problem","authors":"T. Radzik","doi":"10.4064/am2389-10-2019","DOIUrl":"https://doi.org/10.4064/am2389-10-2019","url":null,"abstract":". The paper introduces a new class of functions, called poorly convex, defined on convex subsets of R n . The class is bigger than the class of classical convex functions, and is a subset of the class of quasi-convex ones. The theory of poorly convex functions is developed, and its application to an optimization problem is shown.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"102 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73221278","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Approximating the volume integral by a surface integral via the divergence theorem 通过散度定理用曲面积分逼近体积积分
Applicationes Mathematicae Pub Date : 2020-01-01 DOI: 10.4064/am2393-1-2020
S. Dragomir
{"title":"Approximating the volume integral by a surface integral via the divergence theorem","authors":"S. Dragomir","doi":"10.4064/am2393-1-2020","DOIUrl":"https://doi.org/10.4064/am2393-1-2020","url":null,"abstract":". In this paper, by utilising the famous Divergence Theorem for n - dimensional integral, we provide some error estimates in approximating the integral on a body B; a bounded closed subset of R n ( n (cid:21) 2) with smooth (or piecewise smooth) boundary @B; by an integral on the surface @B and some other simple terms. Some examples for 3 -dimensional case are also given.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81100160","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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