On the Linearization of Homogeneous Forms of Degree
Apr 10, 19896 pages
Published in:
- J.Math.Phys. 33 (1992) 3356
DOI:
Report number:
- CRN/HE-89-05
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Abstract: (AIP)
It is well known that the linearization of quadratic forms is accomplished using Dirac matrices. The general problem of linearization of any polynomial of degree n having p variables is considered. First the homogeneous polynomials are considered and it is shown that we only need to study two basic homogeneous forms, namely, the sum and the product one. The sum is linearized using matrices which turn out to be a matrix representation of a generalized Clifford algebra. The homogeneous form is linearized using matrices, the size of which is large for practical use. Some clues are given to reduce their size. Since any polynomial of degree n can be made homogeneous by introducing a supplementary variable, the method proposed is quite general. It constitutes an algorithm for the linearization of any polynomial.Note:
- *Title changed in the journal*
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