Abstract
A matrix is said to be positive definite if it is hermitian and if all of its characteristic values are positive. It is well known,1 and easy to prove, that the necessary and sufficient condition for a matrix P to be positive definite is that its hermitian quadratic form
with any vector v ≠ 0 be positive.
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© 1993 Springer-Verlag Berlin Heidelberg
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Wigner, E.P. (1993). On Weakly Positive Matrices. In: Wightman, A.S. (eds) The Collected Works of Eugene Paul Wigner. The Collected Works of Eugene Paul Wigner, vol A / 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02781-3_40
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DOI: https://doi.org/10.1007/978-3-662-02781-3_40
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08154-5
Online ISBN: 978-3-662-02781-3
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