PROPERTIES OF EIGENVALUE FUNCTION

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ALIZADEH NAZARKANDI H.

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Journal Paper

Paper Information

Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2016 | Volume:2 | Issue:7 Page(s): 97-104

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Information Journal Paper

Title

PROPERTIES OF EIGENVALUE FUNCTION

Author(s)

ALIZADEH NAZARKANDI H. | Issue Writer Certificate

Keywords

STRICT CONTINUITYQ1

DIRECTIONAL DIFFERENTIABILITYQ1

FRECHET DIFFERENTIABILITYQ1

CONTINUOUS DIFFERENTIABILITYQ1

SPECTRAL DECOMPOSITIONQ1

EIGENVALUE MAPQ1

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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APA: Copy

ALIZADEH NAZARKANDI, H.. (2016). PROPERTIES OF EIGENVALUE FUNCTION. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 2(7), 97-104. SID. https://sid.ir/paper/257300/en

Vancouver: Copy

ALIZADEH NAZARKANDI H.. PROPERTIES OF EIGENVALUE FUNCTION. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2016;2(7):97-104. Available from: https://sid.ir/paper/257300/en

IEEE: Copy

H. ALIZADEH NAZARKANDI, “PROPERTIES OF EIGENVALUE FUNCTION,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 2, no. 7, pp. 97–104, 2016, [Online]. Available: https://sid.ir/paper/257300/en

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