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Hadamard Matrices: Insights into Their Growth Factor and Determinant Computations

In: Mathematical Analysis, Approximation Theory and Their Applications

Author

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  • Christos D. Kravvaritis

    (University of Athens)

Abstract

In this expository paper we survey the most important progress in the growth problem for Hadamard matrices. The history of the problem is presented, the importance of determinant calculations is highlighted, and the relevant open problems are discussed. Emphasis is laid on the contribution of determinant manipulations to the study of the growth factor for Hadamard matrices after application of Gaussian Elimination with complete pivoting on them, which is an important scientific field in Numerical Analysis.

Suggested Citation

  • Christos D. Kravvaritis, 2016. "Hadamard Matrices: Insights into Their Growth Factor and Determinant Computations," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Vijay Gupta (ed.), Mathematical Analysis, Approximation Theory and Their Applications, pages 383-415, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-31281-1_17
    DOI: 10.1007/978-3-319-31281-1_17
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