A Direct Transformation of a Matrix Spectrum - Advances in Linear Algebra & Matrix Theory

ALAMT > Vol.5 No.3, September 2015

Advances in Linear Algebra & Matrix Theory

Volume 5, Issue 3 (September 2015)

ISSN Print: 2165-333X ISSN Online: 2165-3348

Google-based Impact Factor: 0.11 Citations

A Direct Transformation of a Matrix Spectrum ()

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DOI: 10.4236/alamt.2015.53011 5,436 Downloads 6,788 Views Citations

Author(s)

Albert Iskhakov¹, Sergey Skovpen^2*

Affiliation(s)

¹VNIIEM Corporation’ JSC, Moscow, Russia.
²Northern (Arctic) Federal University, Severodvinsk, Russia.

ABSTRACT

A method is presented for calculating a matrix spectrum with a given set of eigenvalues. It can be used to build systems with different spectrums with the aim of choosing desired alternative. It enables a practical implementation of control algorithms without resorting to transformation of variables.

KEYWORDS

Matrix Spectrum, Frobenius Matrix, Frobenius Transformation, Spectral Equation

Share and Cite:

Iskhakov, A. and Skovpen, S. (2015) A Direct Transformation of a Matrix Spectrum. Advances in Linear Algebra & Matrix Theory, 5, 109-128. doi: 10.4236/alamt.2015.53011.

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