Abstract
Having introduced main notions of the geometry based on an indefinite scalar product we will now study special classes of matrices intimately connected with this scalar product. These will be the analogs of the usual Hermitian and unitary matrices. At first sight the formal analogy seems complete but the indefiniteness of the underlying scalar product often leads to big, sometimes surprising, differences.
Keywords
- Unitary Matrix
- Scalar Product
- Special Classis
- General Matrix
- Matrix Function
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 2011 Springer-Verlag Berlin Heidelberg
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Veselić, K. (2011). Matrices and Indefinite Scalar Products. In: Damped Oscillations of Linear Systems. Lecture Notes in Mathematics(), vol 2023. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21335-9_6
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DOI: https://doi.org/10.1007/978-3-642-21335-9_6
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21334-2
Online ISBN: 978-3-642-21335-9
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