derivat

Rational matrix derivative

Syntax

pd=derivat(p)

Arguments

p: polynomial or rational matrix

Description

The derivat() function works with expressions like $p(z) = \sum \limits_{i = -\infty}^{\infty} A_{i} z^{i}$ which consists of functions of linear combinations with integer exponents of one variable (in the example denoted by z).

The function derivat() implements the analytical derivation of p(z), giving the following result. $\dfrac{d(p(z))}{d z} = \sum \limits_{i = -\infty}^{\infty} i A_{i} z^{i - 1}$

Examples

s=poly(0,'s');
derivat(1/s)  // -1/s^2;

p1 = poly([1 -2 1], 'x', 'coeff')
derivat(p1)

p2 = poly([1 -4 2], 'y', 'coeff')
derivat(p2)

p3 = poly(ones(1, 10), 'z', 'coeff')
derivat(p3)

p4 = poly([-1 1], 't', 'roots')
derivat(p4)

s = %s; p5 = s^(-1) + 2 + 3*s
derivat(p5)

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Last updated:
Tue Feb 25 08:54:56 CET 2020