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Barabe, Samuel; Dubeau, Franc – International Journal of Mathematical Education in Science and Technology, 2007
Synthetic division is viewed as a change of basis for polynomials written under the Newton form. Then, the transition matrices obtained from a sequence of changes of basis are used to factorize the inverse of a bidiagonal matrix or a block bidiagonal matrix.
Descriptors: Equations (Mathematics), Validity, Mathematical Logic, Arithmetic