Pub Date : 2024-02-22DOI: 10.1080/01630563.2024.2316580
Leon Frischauf, Otmar Scherzer, Cong Shi
In this paper we investigate the solution of inverse problems with neural network ansatz functions with generalized decision functions. The relevant observation for this work is that such functions...
{"title":"Quadratic Neural Networks for Solving Inverse Problems","authors":"Leon Frischauf, Otmar Scherzer, Cong Shi","doi":"10.1080/01630563.2024.2316580","DOIUrl":"https://doi.org/10.1080/01630563.2024.2316580","url":null,"abstract":"In this paper we investigate the solution of inverse problems with neural network ansatz functions with generalized decision functions. The relevant observation for this work is that such functions...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"17 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139949650","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-22DOI: 10.1080/01630563.2024.2318577
Maryam Jafarizadeh, Mohammad Ali Hasankhani Fard
In this paper we introduce generalized phase retrievable frames or simply g-phase retrievable frames in real or complex n-dimensional Hilbert space Hn, which include ordinary phase retrievable fram...
本文介绍了实数或复数 n 维希尔伯特空间 Hn 中的广义相位可检索框架或简称 g 相位可检索框架，其中包括普通相位可检索框架和 g 相位可检索框架。
{"title":"G-phase retrievable frames","authors":"Maryam Jafarizadeh, Mohammad Ali Hasankhani Fard","doi":"10.1080/01630563.2024.2318577","DOIUrl":"https://doi.org/10.1080/01630563.2024.2318577","url":null,"abstract":"In this paper we introduce generalized phase retrievable frames or simply g-phase retrievable frames in real or complex n-dimensional Hilbert space Hn, which include ordinary phase retrievable fram...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"45 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140004980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-21DOI: 10.1080/01630563.2024.2318586
Subhankar Mondal, M. Thamban Nair
This paper is concerned with identification of a spatial source function from final time observation in a bi-parabolic equation, where the full source function is assumed to be a product of time de...
本文涉及从双抛物线方程中的最终时间观测结果识别空间源函数，其中假定全源函数是时间脱...
{"title":"A Source Identification Problem in a Bi-parabolic Equation: Convergence Rates and Some Optimal Results","authors":"Subhankar Mondal, M. Thamban Nair","doi":"10.1080/01630563.2024.2318586","DOIUrl":"https://doi.org/10.1080/01630563.2024.2318586","url":null,"abstract":"This paper is concerned with identification of a spatial source function from final time observation in a bi-parabolic equation, where the full source function is assumed to be a product of time de...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"80 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139924407","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-21DOI: 10.1080/01630563.2024.2316579
Octavian Agratini
The aim of this article is to present a general class of positive linear operators of discrete type related to squared fundamental basis functions. If these operators are expressed by a series, we ...
本文旨在介绍与平方基函数相关的离散型正线性算子的一般类别。如果这些算子用数列表示，我们 ...
{"title":"Properties of Positive Linear Operators Connected with Squared Fundamental Functions","authors":"Octavian Agratini","doi":"10.1080/01630563.2024.2316579","DOIUrl":"https://doi.org/10.1080/01630563.2024.2316579","url":null,"abstract":"The aim of this article is to present a general class of positive linear operators of discrete type related to squared fundamental basis functions. If these operators are expressed by a series, we ...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"3 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139924453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-21DOI: 10.1080/01630563.2024.2318576
Shivam Bajpeyi, Dhiraj Patel, S. Sivananthan
In this paper, we address the random sampling problem for the class of functions in the space of Mellin band-limited functions BT, which are concentrated on a bounded cube. It is established that a...
本文探讨了梅林带限函数 BT 空间中集中于有界立方体的一类函数的随机抽样问题。本文确定了一个...
{"title":"Random Sampling of Mellin Band-Limited Signals","authors":"Shivam Bajpeyi, Dhiraj Patel, S. Sivananthan","doi":"10.1080/01630563.2024.2318576","DOIUrl":"https://doi.org/10.1080/01630563.2024.2318576","url":null,"abstract":"In this paper, we address the random sampling problem for the class of functions in the space of Mellin band-limited functions BT, which are concentrated on a bounded cube. It is established that a...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"35 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139924325","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-21DOI: 10.1080/01630563.2024.2318602
Renjie Xu, Shenghao Feng, Yimin Wei, Hong Yan
Low-rank approximations of quaternion matrices have garnered interest across various applications, such as color images and signal processing. In this paper, we propose the CUR and generalized CUR ...
四元数矩阵的低秩近似在彩色图像和信号处理等各种应用中都引起了人们的兴趣。本文提出的 CUR 和广义 CUR ...
{"title":"CUR and Generalized CUR Decompositions of Quaternion Matrices and their Applications","authors":"Renjie Xu, Shenghao Feng, Yimin Wei, Hong Yan","doi":"10.1080/01630563.2024.2318602","DOIUrl":"https://doi.org/10.1080/01630563.2024.2318602","url":null,"abstract":"Low-rank approximations of quaternion matrices have garnered interest across various applications, such as color images and signal processing. In this paper, we propose the CUR and generalized CUR ...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"227 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139924311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, by establishing the boundedness of Calderón-Zygmund operators on test functions over RD spaces, and applying the discrete Calderón type reproducing formula, the authors obtain the al...
{"title":"Algebras of Calderón-Zygmund Operators on RD Spaces","authors":"Dandan Wang, Qiquan Fang, Xiangxing Tao, Taotao Zheng","doi":"10.1080/01630563.2024.2305346","DOIUrl":"https://doi.org/10.1080/01630563.2024.2305346","url":null,"abstract":"In this paper, by establishing the boundedness of Calderón-Zygmund operators on test functions over RD spaces, and applying the discrete Calderón type reproducing formula, the authors obtain the al...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"36 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139753711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-02DOI: 10.1080/01630563.2024.2305347
Le Thanh Tung, Dang Hoang Tam, Tran Thien Khai
The objective of this paper is to investigate multiobjective semi-infinite programming problems with vanishing constraints (in brief, MSIPVC). We firstly propose both the vector Lagrange dual probl...
{"title":"Lagrange Duality and Saddle Point Optimality Conditions for Multiobjective Semi-Infinite Programming with Vanishing Constraints","authors":"Le Thanh Tung, Dang Hoang Tam, Tran Thien Khai","doi":"10.1080/01630563.2024.2305347","DOIUrl":"https://doi.org/10.1080/01630563.2024.2305347","url":null,"abstract":"The objective of this paper is to investigate multiobjective semi-infinite programming problems with vanishing constraints (in brief, MSIPVC). We firstly propose both the vector Lagrange dual probl...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"55 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139665699","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-29DOI: 10.1080/01630563.2023.2297439
Tuncer Acar, Murat Bodur, Esma Isikli
This paper is devoted to an extension of the bivariate generalized Bernstein-Chlodovsky operators preserving the exponential function exp (2,2) where exp (α,β)=e−αx−βy,α,β∈R0+ and x,y≥0. For thes...
{"title":"Bivariate Bernstein Chlodovsky Operators Preserving Exponential Functions and Their Convergence Properties","authors":"Tuncer Acar, Murat Bodur, Esma Isikli","doi":"10.1080/01630563.2023.2297439","DOIUrl":"https://doi.org/10.1080/01630563.2023.2297439","url":null,"abstract":"This paper is devoted to an extension of the bivariate generalized Bernstein-Chlodovsky operators preserving the exponential function exp (2,2) where exp (α,β)=e−αx−βy,α,β∈R0+ and x,y≥0. For thes...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"10 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139063433","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-27DOI: 10.1080/01630563.2023.2297426
Lim Yongdo, Ngoc Tuan Hoang, Dong Yen Nguyen
This paper gives some results related to the research problem about infinite-dimensional affine variational inequalities raised by N.D. Yen and X. Yang [Affine variational inequalities on normed sp...
本文给出了与 N.D. Yen 和 X. Yang [Affine variational inequalities on normed sp...] 提出的无穷维仿射变分不等式研究问题相关的一些结果。
{"title":"Local Error Bounds for Affine Variational Inequalities on Hilbert Spaces","authors":"Lim Yongdo, Ngoc Tuan Hoang, Dong Yen Nguyen","doi":"10.1080/01630563.2023.2297426","DOIUrl":"https://doi.org/10.1080/01630563.2023.2297426","url":null,"abstract":"This paper gives some results related to the research problem about infinite-dimensional affine variational inequalities raised by N.D. Yen and X. Yang [Affine variational inequalities on normed sp...","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139063430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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