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Справка Scilab >> Polynomials > lcmdiag

lcmdiag

least common multiple diagonal factorization

Syntax

[N,D] = lcmdiag(H)
[N,D] = lcmdiag(H, 'row')
[N,D] = lcmdiag(H, 'col')

Arguments

H

rational matrix

N

polynomial matrix

D

diagonal polynomial matrix

'row'|'col'

character string: Default is 'col'.

Description

[N,D]=lcmdiag(H,'row') computes a factorization D*H=N, i.e. H=D^(-1)*N where D is a diagonal matrix with D(k,k)=lcm of kth row of H('den').

[N,D]=lcmdiag(H) or [N,D]=lcmdiag(H,'col) returns H=N*D^(-1) with diagonal D and D(k,k)=lcm of kth col of H('den')

Examples

s = poly(0,'s');
H = [1/s,(s+2)/s/(s+1)^2;1/(s^2*(s+2)),2/(s+2)];
[N,D] = lcmdiag(H);
N/D - H

• lcm — наименьшее общее кратное (положительное) целых чисел или полиномов
• gcd — Greatest (positive) Common Divisor
• bezout — GCD of two polynomials or two integers, by the Bezout method