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Polynomial Representation in Alternative Matrix Form
  • Benedict Irwin
Benedict Irwin
University of Cambridge
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Abstract

A new representation of polynomials is investigated by defining the concept of summation \(\Sigma\) and product \(\Pi\) inverses. Then by defining an augmented matrix product it is found that two polynomials can be multiplied with their components retained in a resulting matrix. This is then shown to work for compositions of polynomials by using block matrices.