2016•Journal of New Researches in MathematicsRequires access
Properties of eigenvalue function
H. Alizadeh Nazarkandi
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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.