how to make a hermitian symbolic matrix in matlan

hello I need to make a hermitian symmetric matrix with size L*L (2<L<20)

for example if L=2

A=[a c+1i*d; c-1i*d b] where a,b ,c and d are real symbol it seems too hard for large L... can any one help me? best regards maryam.

[Roger Stafford]

Your diagonal elements must be real-valued for the matrix to be Hermitian; a+1i*b and e+1i*f would be incorrect unless b and f were zero.

[mryam alibeigi]

thanks you are right I edit the question.

Answer 1

[mryam alibeigi]

hi every one I found how to make symbolic hermitian matrix myself. the code is written below . D is a hermitian Symbolic matrix with size(L*L).

A = sym('A%d%d', L); A = sym(A, 'real');

B = sym('B%d%d', L); B = sym(B, 'real');

for i=1:L for j=1:L if i>j A(i,j)=A(j,i); B(i,j)=-B(j,i); end if i==j B(i,j)=0; end end end

D=A+1i*B;

Answer 2

[Matt J]

Any matrix A+A' is Hermitian symmetric. That might be the basis for you to construct the matrix you want.

[Walter Roberson]

Is that ' the transpose or the conjugate transpose ?

[Matt J]

The conjugate transpose.

[Matt J]

mryam alibeigi Commented:

you are right A+A' is hermitian symmetric but I want to make symbolic *hermitian matrix *.

how can I make symbolic hermitian matrix?

Answer 3

[mryam alibeigi]

Relocated to Comment by Matt J