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Some Comments on Preconditioning for Normal Equations and Least Squares 关于正态方程和最小二乘的预条件的几点评论
IF 10.2 1区 数学
SIAM Review Pub Date : 2022-08-01 DOI: 10.1137/20m1387948
A. Wathen
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引用次数: 1
Delayed Gradient Methods for Symmetric and Positive Definite Linear Systems 对称正定线性系统的延迟梯度方法
IF 10.2 1区 数学
SIAM Review Pub Date : 2022-08-01 DOI: 10.1137/20m1321140
Qinmeng Zou, F. Magoulès
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引用次数: 4
Deforming $||.||_{1}$ into $||.||_{infty}$ via Polyhedral Norms: A Pedestrian Approach 通过多面体规范将$||.||_{1}$变形为$||.||_{infty}$:一种行人方法
IF 10.2 1区 数学
SIAM Review Pub Date : 2022-08-01 DOI: 10.1137/21m1391481
M. Gaudioso, J. Hiriart-Urruty
{"title":"Deforming $||.||_{1}$ into $||.||_{infty}$ via Polyhedral Norms: A Pedestrian Approach","authors":"M. Gaudioso, J. Hiriart-Urruty","doi":"10.1137/21m1391481","DOIUrl":"https://doi.org/10.1137/21m1391481","url":null,"abstract":"","PeriodicalId":49525,"journal":{"name":"SIAM Review","volume":"4 1","pages":"713-727"},"PeriodicalIF":10.2,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73701075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Analyzing Pattern Formation in the Gray-Scott Model: An XPPAUT Tutorial 分析Gray-Scott模型中的模式形成:一个XPPAUT教程
IF 10.2 1区 数学
SIAM Review Pub Date : 2022-08-01 DOI: 10.1137/21m1402868
Demi L. Gandy, M. R. Nelson
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引用次数: 3
Minimizing the Repayment Cost of Federal Student Loans 最小化联邦学生贷款的偿还成本
IF 10.2 1区 数学
SIAM Review Pub Date : 2022-07-07 DOI: 10.1137/22M1505840
P. Guasoni, Yu‐Jui Huang
{"title":"Minimizing the Repayment Cost of Federal Student Loans","authors":"P. Guasoni, Yu‐Jui Huang","doi":"10.1137/22M1505840","DOIUrl":"https://doi.org/10.1137/22M1505840","url":null,"abstract":". Federal student loans are fixed-rate debt contracts with three main special features: (i) borrowers can use income-driven schemes to make payments proportional to their income above subsistence, (ii) after several years of good standing, the remaining balance is forgiven but taxed as ordinary income, and (iii) accrued interest is simple, i.e., not capitalized. For a very small loan, the cost-minimizing repayment strategy dictates maximum payments until full repayment, forgoing both income-driven schemes and forgiveness. For a very large loan, the minimal payments allowed by income-driven schemes are optimal. For intermediate balances, the optimal repayment strategy may entail an initial period of minimum payments to exploit the non-capitalization of accrued interest, but when the principal is being reimbursed maximal payments always precede minimum payments. Income-driven schemes and simple accrued interest mostly benefit borrowers with very large balances. MSC (2010): 91G20, 91G80.","PeriodicalId":49525,"journal":{"name":"SIAM Review","volume":"105 1","pages":"689-709"},"PeriodicalIF":10.2,"publicationDate":"2022-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79540102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Generating Resonant and Repeated Root Solutions to Ordinary Differential Equations Using Perturbation Methods 用摄动方法生成常微分方程的共振和重复根解
IF 10.2 1区 数学
SIAM Review Pub Date : 2022-05-01 DOI: 10.1137/21m1395922
Bernardo Gouveia, H. Stone
{"title":"Generating Resonant and Repeated Root Solutions to Ordinary Differential Equations Using Perturbation Methods","authors":"Bernardo Gouveia, H. Stone","doi":"10.1137/21m1395922","DOIUrl":"https://doi.org/10.1137/21m1395922","url":null,"abstract":"","PeriodicalId":49525,"journal":{"name":"SIAM Review","volume":"29 5","pages":"485-499"},"PeriodicalIF":10.2,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72475552","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 1
Hamiltonicity of Cubic Planar Graphs with Bounded Face Sizes 面大小有界的三次平面图的哈密性
IF 10.2 1区 数学
SIAM Review Pub Date : 2022-05-01 DOI: 10.1137/22m1476915
Frantisek Kardos
{"title":"Hamiltonicity of Cubic Planar Graphs with Bounded Face Sizes","authors":"Frantisek Kardos","doi":"10.1137/22m1476915","DOIUrl":"https://doi.org/10.1137/22m1476915","url":null,"abstract":"","PeriodicalId":49525,"journal":{"name":"SIAM Review","volume":"3 1","pages":"425-465"},"PeriodicalIF":10.2,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78429685","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
SIGEST SIGEST
IF 10.2 1区 数学
SIAM Review Pub Date : 2022-05-01 DOI: 10.1137/21n975448
The editors
{"title":"SIGEST","authors":"The editors","doi":"10.1137/21n975448","DOIUrl":"https://doi.org/10.1137/21n975448","url":null,"abstract":"","PeriodicalId":49525,"journal":{"name":"SIAM Review","volume":"1 1","pages":""},"PeriodicalIF":10.2,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42559695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Dimensionality Reduction via Dynamical Systems: The Case of t-SNE 通过动力系统降维:t-SNE的情况
IF 10.2 1区 数学
SIAM Review Pub Date : 2022-02-01 DOI: 10.1137/21m1446769
G. Linderman, S. Steinerberger
{"title":"Dimensionality Reduction via Dynamical Systems: The Case of t-SNE","authors":"G. Linderman, S. Steinerberger","doi":"10.1137/21m1446769","DOIUrl":"https://doi.org/10.1137/21m1446769","url":null,"abstract":"","PeriodicalId":49525,"journal":{"name":"SIAM Review","volume":"12 1","pages":"153-178"},"PeriodicalIF":10.2,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88818900","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 1
LU and CR Elimination LU和CR的消除
IF 10.2 1区 数学
SIAM Review Pub Date : 2022-02-01 DOI: 10.1137/20m1358694
G. Strang, C. Moler
{"title":"LU and CR Elimination","authors":"G. Strang, C. Moler","doi":"10.1137/20m1358694","DOIUrl":"https://doi.org/10.1137/20m1358694","url":null,"abstract":"Abstract The reduced row echelon form rref (A) has traditionally been used for classroom examples : small matrices A with integer entries and low rank r. This paper creates a column-row rank-revealing factorization A = CR, with the first r independent columns of A in C and the r nonzero rows of rref (A) in R. We want to reimagine the start of a linear algebra course, by helping students to see the independent columns of A and the rank and the column space. If B contains the first r independent rows of A, then those rows of A = CR produce B = W R. The r by r matrix W has full rank r, where B meets C. Then the triple factorization A = CW B treats columns and rows of A (C and B) in the same way.","PeriodicalId":49525,"journal":{"name":"SIAM Review","volume":"49 1","pages":"181-190"},"PeriodicalIF":10.2,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90230426","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 3
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