Continuing Matrix involving a function to make very large

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Seb apple 2020년 6월 17일
답변: Ameer Hamza 2020년 6월 17일
Hi all, i have a typed square matrix and need to expand it to be very large how ever this will take far too long to do manually. my matrix code is below please help if you know any function to expend it while keeping the same pattern.
syms e P n
c=1;
G(n)=e/(2*(P+0.5*(1i*n*c)-(0.25*(n)^2)));
j=[1 0 G(7) 0 0 0 0 0 0 0 0 0 0 0 0;0 1 0 G(6) 0 0 0 0 0 0 0 0 0 0 0; G(5) 0 1 0 G(5) 0 0 0 0 0 0 0 0 0 0; 0 G(4) 0 1 0 G(4) 0 0 0 0 0 0 0 0 0; 0 0 G(3) 0 1 0 G(3) 0 0 0 0 0 0 0 0; 0 0 0 G(2) 0 1 0 G(2) 0 0 0 0 0 0 0; 0 0 0 0 G(1) 0 1 0 G(1) 0 0 0 0 0 0 ; 0 0 0 0 0 G(0) 0 1 0 G(0) 0 0 0 0 0; 0 0 0 0 0 0 G(-1) 0 1 0 G(-1) 0 0 0 0; 0 0 0 0 0 0 0 G(-2) 0 1 0 G(-2) 0 0 0; 0 0 0 0 0 0 0 0 G(-3) 0 1 0 G(-3) 0 0; 0 0 0 0 0 0 0 0 0 G(-4) 0 1 0 G(-4) 0; 0 0 0 0 0 0 0 0 0 0 G(-5) 0 1 0 G(-5); 0 0 0 0 0 0 0 0 0 0 0 G(-6) 0 1 0; 0 0 0 0 0 0 0 0 0 0 0 0 G(-7) 0 1 ];
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KSSV 2020년 6월 17일
'P' not defined.
KSSV 2020년 6월 17일

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답변 (1개)

Ameer Hamza 2020년 6월 17일
Try this
syms e o n
c=1;
P = 1;
G(n)=e./(2.*(P+0.5*(1i*n.*c)-(0.25*(n)^2)));
N = 15;
l_start = 5;
u_start = 7;
l_end = l_start-N+3;
u_end = u_start-N+3;
j = diag(ones(1,N)) + diag(G(l_start:-1:l_end), -2) + diag(G(u_start:-1:u_end), 2);

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