D.B. Szyld Intro. to Numerical AlAnalysis 22 October 2020 MATH 5043 Literature Search Proposal expected on or before Tuesday 3 November. Report due on Thursday 12 November 2020, 5:00 p.m. You are requested to search in the literature for recent articles on any of the following topics: Floating point arithmetic, backward error analysis, interpolation, integration, solution of nonlinear equations (in particular variants of inexact Newton). You are expected to write a short report on the papers you find. I am asking you to read more than one paper. For example, two different approaches to the same problem, or three similar approaches by different authors. Choosing papers in the book reference list is discouraged. I would like to have a short proposal, listing the topic and the bibliography in 10 days or less. Then, you would write your short report, of say, three to five pages. Papers should be typed (LaTex is preferable). You should make a good effort to have a clear exposition of your ideas. Please, be critical, do not just copy what you read; in fact you are encouraged to discard some of the ideas if you find them inappropriate, or simply not great. Please explain your criteria and judgment. You will need to do some library work. A search such as the one I am propos- ing usually starts by looking at Mathematical Reviews, Computer Abstracts, or similar publications which list and reviews papers in a variety of journals. (Math. Rev. is available on line at http://www.ams.org/mathscinet or from the Temple Libraries Databases: https://guides.temple.edu/az.php). Journals that may be relevant in- clude publications by SIAM (Society of Industrial and Applied Mathematics) (online at http://www.siam.org){ for example SIAM Journal on Numerical Analysis, SIAM Journal on Matrix Analysis and Applications or SIAM Journal on Scientific Comput- ing { and ACM (Association for Computing Machinery) { for example ACM Trans- actions on Mathematical Software (TOMS) { and also BIT, Numerische Mathematik, Applied Numerical Mathematics, and Mathematics of Computation. See also the an- nual volumes of Acta Numerica. All these are available through Temple Library web site https://librarysearch.temple.edu/journals . Another relevant journal is the Electronic Journal of Numerical Analysis (ETNA) (at http://etna.mcs.kent.edu). If you find an author whose work seems relevant, you can find who has cited him or her in the Science Citation Index. The Web of Science (formerly the Science Citation Index) can be found in the above mentioned Library database), a similar service worth trying is CiteSeer at http://citeseer.ist.psu.edu. You can also try Google Scholar. Good luck and good work!.