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Testmatrizen mit freien Parametern

Test matrices with free parameters

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Zusammenfassung

Es wird eine Methode zur Konstruktion von Testmatrizen mit freien Parametern angegeben. Als Anwendungsbeispiel wird eine neue Testmatrix geradzahliger Ordnung hergeleitet, die auch für das Eigenwertproblem geeignet ist. Außerdem werden mehrere bekannte Testmatrizen mit konstanten Elementen so verallgemeinert, daß sie beliebig große Konditionszahlen annehmen können.

Abstract

A method to construct test matrices with free parameters is given. As an example of application a new test matrix of even order which is also appropriate to the eigenproblem is derived. Moreover some known test matrices with constant elements are generalized in such a way that they can be supplied with condition numbers of arbitrary order.

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Authors and Affiliations

  1. Sektion Mathematik, Martin-Luther-Universität Halle-Wittenberg, DDR-402, Weinberg, Halle a. d. Saale, Deutsche Demokratische Republik

    G. Zielke

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  1. G. Zielke
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Zielke, G. Testmatrizen mit freien Parametern. Computing 15, 87–103 (1975). https://doi.org/10.1007/BF02252859

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  • DOI: https://doi.org/10.1007/BF02252859

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