MATLAB FINANCIAL DERIVATIVES TOOLBOX Instrukcja Użytkownika Pobierz pdf (Strona 34)

The dot product in Matlab is performed via the “.*” symbol. By the use of dot

product we can get the inner product. This is explained in the following

examples:

Matlab’s command:

>> dprod1=w.*u', dprod2=u'.*u'.* w

Matlab’s response:

dprod1 =

2 0 -4 -0.5

dprod2 =

4 0 8 -0.25

Comments:

Producing the dot product of various operations. For example

1 is computed as:

1=[1*2, 0*4, 2*(-2), (-1)*0.5].

Matlab’s command:

>> inner1=sum(w.*u'), inner2=sum((2+w).*(u'/2))

Matlab’s response:

inner1 =

-2.5

inner2 =

3.25

Comments:

Producing the summation of dot product of various operations.

When the

m function is used with a dot product, the result is

the inner product of that operation.

In vector manipulations, dot product is performed after dot power (see the

following section).

2.1.4.3 Dot Division and Power

The dot division does not exist mathematically, but for programming

purposes, Matlab includes such operation. The dot division can be used to

divide a vector with another vector of similar characteristics and also to

divide a vector with a scalar. Through the following examples the use of dot

division is outlined. Pay attention on the cases where a dot division

produces pathological results.

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MATLAB FINANCIAL DERIVATIVES TOOLBOX Instrukcja Użytkownika Strona 34