how to symsum to type follow eqution

for example:if i know A1=1, A2=3,A3=7,B1=2,B2=4,B3=8 and so on, i want to symsum An+Bn , which n is variable,like A1+B1+A2+B2+A3+B3+...+An+Bn . how to type it in matlab?

Answer 1

[Walter Roberson]

syms A B n m
total = symsum(A(m)+B(m), m, 1, n)

later you can

subs(total, n, 5)   %to make n 5

[BIN LIN]

I test it like follow, but it does not work.

syms A B n m
A1=1
A2=3
A3=7
B1=2
B2=4
B3=8
total = symsum(A(m)+B(m), m, 1, n)
subs(total, n, 2)   %to make n 5

it show this: Error using sym/subsindex (line 685) Invalid indexing or function definition. When defining a function, ensure that the body of the function is a SYM object. When indexing, the input must be numeric, logical or ':'.

Error in sym>privformat (line 1490) x = subsindex(x)+1;

Error in sym/subsref (line 707) [inds{k},refs{k}] = privformat(inds{k});

Error in test2 (line 8) total = symsum(A(m)+B(m), m, 1, n)

[Walter Roberson]

symsum cannot do that. An is not a symbolic expression.

A(n) is a symbolic expression if A is a vector (or matrix) of symbolic values or if A(n) is a function that returns a symbolic expression.

You can use

A = [A1, A2, A3];
B = [B1, B2, B3];

before you do the symsum().

You should be considering using

A = syms('A', [1 3]);   %use appropriate value instead of 3

after which A(1) would be A1, A(2) would be A2, and so on, and you would be able to access those elements and even assign values to them if you are careful. For example,

C = A(2) + B(1);
subs(C, A, {1, 3, 7})

would extract the names of the variables in A as the second argument and would use those names as the targets of the substitutions where needed in C

What you asked for is not really symbolic variables: you are trying to use dynamic variable names, which causes much much more trouble than it is worth.

http://matlab.wikia.com/wiki/FAQ#How_can_I_create_variables_A1.2C_A2.2C....2CA10_in_a_loop.3F