Abstract
Eigenvalues and eigenvectors are also called characteristic rootsand characteristic vectors. λ and c may be complex even if A is real. The eigenvalue polynomial (the characteristic polynomial) of A = (a ij ) n×n . I is the unit matrix of order n.
Keywords
- Quadratic Form
- Unitary Matrice
- Hermitian Matrice
- Distinct Eigenvalue
- Orthogonal Matrice
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References
Most of the formulas can be found in almost any linear algebra text, e.g. Fraleigh and Beauregard (1995) or Lang (1987). See also Horn and Johnson (1985) and Sydsæter et al. (2005). Gantmacher (1959) is a standard reference.
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© 2010 Springer-Verlag Berlin Heidelberg
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Sydsæter, K., Strøm, A., Berck, P. (2010). Eigenvalues. Quadratic forms. In: Economists’ Mathematical Manual. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28518-2_21
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DOI: https://doi.org/10.1007/978-3-540-28518-2_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26088-2
Online ISBN: 978-3-540-28518-2
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