triang_Interpolation: Triangularization of a polynomial matrix by interpolation...
In polyMatrix: Infrastructure for Manipulation Polynomial Matrices

Description Usage Arguments Details Value

The parameters point_vector, round_digits can significantly affect the result.

triang_Interpolation(
  pm,
  point_vector,
  round_digits = 5,
  eps = .Machine$double.eps^0.5
)

`pm`	source polynimial matrix
`point_vector`	vector of interpolation points
`round_digits`	we will try to round result on each step
`eps`	calculation zero errors

Default value of 'eps“ usually is enought to determintate real zeros.

In a polynomial matrix the head elements are the first non-zero polynomials of columns. The sequence of row indices of this head elements form the shape of the polynomial matrix. A polynomial matrix is in left-lower triangular form, if this sequence is monoton increasing.

This method offers a solution of the triangulrization by the Interpolation method, described in the article of Labhalla-Lombardi-Marlin (1996).

Tranfortmaiton matrix

polyMatrix documentation built on July 18, 2021, 5:06 p.m.