{"title":"点评:“求解绝对值方程的两种有效迭代方法”","authors":"Chun-Hua Guo","doi":"10.1016/j.apnum.2025.09.005","DOIUrl":null,"url":null,"abstract":"<div><div>Two iterative methods for solving the absolute value equations are recently proposed and analyzed in the paper by Yu and Wu (Appl. Numer. Math. 208 (2025) 148–159). We point out that the convergence analysis for both methods is incorrect and that the second method with “optimal” parameters is always slightly <em>less</em> efficient than the well-known generalized Newton method.</div></div>","PeriodicalId":8199,"journal":{"name":"Applied Numerical Mathematics","volume":"219 ","pages":"Pages 96-98"},"PeriodicalIF":2.4000,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Comments on: “Two efficient iteration methods for solving the absolute value equations”\",\"authors\":\"Chun-Hua Guo\",\"doi\":\"10.1016/j.apnum.2025.09.005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Two iterative methods for solving the absolute value equations are recently proposed and analyzed in the paper by Yu and Wu (Appl. Numer. Math. 208 (2025) 148–159). We point out that the convergence analysis for both methods is incorrect and that the second method with “optimal” parameters is always slightly <em>less</em> efficient than the well-known generalized Newton method.</div></div>\",\"PeriodicalId\":8199,\"journal\":{\"name\":\"Applied Numerical Mathematics\",\"volume\":\"219 \",\"pages\":\"Pages 96-98\"},\"PeriodicalIF\":2.4000,\"publicationDate\":\"2025-09-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Numerical Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0168927425001801\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Numerical Mathematics","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0168927425001801","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Comments on: “Two efficient iteration methods for solving the absolute value equations”
Two iterative methods for solving the absolute value equations are recently proposed and analyzed in the paper by Yu and Wu (Appl. Numer. Math. 208 (2025) 148–159). We point out that the convergence analysis for both methods is incorrect and that the second method with “optimal” parameters is always slightly less efficient than the well-known generalized Newton method.
期刊介绍:
The purpose of the journal is to provide a forum for the publication of high quality research and tutorial papers in computational mathematics. In addition to the traditional issues and problems in numerical analysis, the journal also publishes papers describing relevant applications in such fields as physics, fluid dynamics, engineering and other branches of applied science with a computational mathematics component. The journal strives to be flexible in the type of papers it publishes and their format. Equally desirable are:
(i) Full papers, which should be complete and relatively self-contained original contributions with an introduction that can be understood by the broad computational mathematics community. Both rigorous and heuristic styles are acceptable. Of particular interest are papers about new areas of research, in which other than strictly mathematical arguments may be important in establishing a basis for further developments.
(ii) Tutorial review papers, covering some of the important issues in Numerical Mathematics, Scientific Computing and their Applications. The journal will occasionally publish contributions which are larger than the usual format for regular papers.
(iii) Short notes, which present specific new results and techniques in a brief communication.