@misc{WolfNeun, author = {Wolf, Thomas and Neun, Winfried}, title = {About a Computer Algebra based online Mathtest}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-10688}, number = {08-14}, abstract = {The article describes the online mathematics test {\tt http://lie.math.brocku.ca/mathtest}, its typical applications and experiences gathered.}, language = {en} } @misc{NeunSturmVigerske, author = {Neun, Winfried and Sturm, Thomas and Vigerske, Stefan}, title = {Supporting Global Numerical Optimization of Rational Functions by Generic Symbolic Convexity Tests}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-11644}, number = {10-01}, abstract = {Convexity is an important property in nonlinear optimization since it allows to apply efficient local methods for finding global solutions. We propose to apply symbolic methods to prove or disprove convexity of rational functions over a polyhedral domain. Our algorithms reduce convexity questions to real quantifier elimination problems. Our methods are implemented and publicly available in the open source computer algebra system REDUCE. Our long term goal is to integrate REDUCE as a workhorse'' for symbolic computations into a numerical solver.}, language = {en} } @article{NeunSturmVigerske, author = {Neun, Winfried and Sturm, Thomas and Vigerske, Stefan}, title = {Supporting Global Numerical Optimization of Rational Functions by Generic Symbolic Convexity Tests}, series = {Computer Algebra in Scientific Computing}, volume = {LNCS 6244}, journal = {Computer Algebra in Scientific Computing}, isbn = {978-3-642-15273-3}, pages = {205 -- 219}, language = {en} } @misc{ChraparyDalitzNeunetal., author = {Chrapary, Hagen and Dalitz, Wolfgang and Neun, Winfried and Sperber, Wolfram}, title = {Design, concepts, and state of the art of the swMATH service}, issn = {1438-0064}, doi = {10.1007/s11786-017-0305-5}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-62263}, abstract = {In this paper, the concepts and design for an efficient information service for mathematical software and further mathematical research data are presented. The publication-based approach and the Web-based approach are the main building blocks of the service and will be discussed. Heuristic methods are used for identification, extraction, and ranking of information about software and other mathematical research data. The methods provide not only information about the research data but also link software and mathematical research data to the scientific context.}, language = {en} } @article{ChraparyDalitzNeunetal., author = {Chrapary, Hagen and Dalitz, Wolfgang and Neun, Winfried and Sperber, Wolfram}, title = {Design, Concepts, and State of the Art of the swMATH Service}, series = {Mathematics in Computer Science}, volume = {11}, journal = {Mathematics in Computer Science}, number = {3-4}, doi = {10.1007/s11786-017-0305-5}, pages = {469 -- 481}, abstract = {In this paper, the concepts and design for an efficient information service for mathematical software and further mathematical research data are presented. The publication-based approach and the web-based approach are the main building blocks of the service and will be discussed. Heuristic methods are used for identification, extraction, and ranking of information about software and other mathematical research data. The methods provide not only information about the research data but also link software and mathematical research data to the scientific context.}, language = {en} }