Properties of eigenvalue function

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Abstract:

For the eigenvalue function on symmetric matrices, we have gathered a number of it’s properties.We show that this map has the properties of continuity, strict continuity, directional differentiability, Frechet differentiability, continuous  differentiability. Eigenvalue function will be extended to a larger set of matrices and then the listed properties will prove again.

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Journal title

volume 2  issue 7

pages  97- 105

publication date 2016-12-27

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