Abstract
In some applications we are interested in functions of matrices such as a kth power of A. Even though it is conceivable that the power of a matrix can be found by repeated application, it may be desired to analytically represent the power of a matrix. It would be nice if the matrix could be expressed in a form that is amenable for such a procedure. In this chapter we discuss a matrix representation in terms of its eigenvalues and eigenvectors (Wilkinson, 1965). This approach is valid for real or complex field applications. In the later part of the chapter we discuss different approaches that allow for finite field matrix representations.
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© 1986 Plenum Press, New York
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Hershey, J.E., Rao Yarlagadda, R.K. (1986). Matrix Representations. In: Data Transportation and Protection. Applications of Communications Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2195-8_6
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DOI: https://doi.org/10.1007/978-1-4613-2195-8_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-9290-6
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