{"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}
{"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}
{"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}
{"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}
{"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}
{"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}
{"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}
{"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}
{"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}
{"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}