lcmdiag

Arguments

H

rational matrix

N

polynomial matrix

D

diagonal polynomial matrix

flag

character string: 'row' or 'col' (default)

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

See also

• lcm — least common (positive) multiple of integers or of polynomials
• gcd — Greatest (positive) Common Divisor
• bezout — GCD of two polynomials or two integers, by the Bezout method