MATLAB FINANCIAL DERIVATIVES TOOLBOX Bedienungsanleitung PDF herunterladen (Seite 71)

d =

Comments:

Logical and relational operations.

a is 1 because the statement

evaluated is TRUE since

x is 2 and greater than 1.

b is FALSE

because: “x~=1” returns 1, and “1 & y” returns 0.

c is TRUE

because: “x>0” is 1, and “1|y & 1” is “ 1 | 1” which is TRUE.

d is

TRUE because: “~y” is 1 and “~x” is 0 so we have “(1 & z | 0==5)

that is equal to “(1 & z | 0) that is equal to: “1 | 0” that is TRUE.

Some examples with matrices and the logical and relational operators follow:

Matlab’s command:

>> clear all; x=[5 0 -1; 2 4 8]; y=[2 1 -1; 1 2 4];

>> a=(x==5), b=(x~=1 & y), c=(2*y==x | ~x), d=(x>0 | y==1 |x~=x)

Matlab’s response:

a =

1 0 0

0 0 0

b =

1 1 1

c =

0 1 0

1 1 1

d =

1 1 0

1 1 1

Comments:

Logical and relational operations with matrices. In

a we have only

the first element to be 1 since it the only one that is equal to 5.

We get

b to be a TRUE matrix because “x~=1” returns a matrix of

1’s since none element is equal to 1. By definition, all elements in

y are taken to be TRUE statements. So TRUE & TRUE gives

b full

of 1’s (Figure out how the

c and

d were evaluated).

4.1.1 The

y and

l Functions

Matlab has two build-in functions that are work as logical operators. The first

one is the

y function that is TRUE if any element of a vector is nonzero.

For vectors,

y returns 1 if any of the elements of the vector are non-zero.

Otherwise it returns 0. For matrices,

y operates on the columns of the

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