m2_op_kronecker.hlp

是一个经济学管理应用软件 很难找的 但是经济学学生又必须用到

{smcl}
{* 15mar2004}{...}
{cmd:help m2 op_kronecker}
{hline}
{* index operators}{...}
{* index Kronecker direct product}{...}
{* index product}{...}

{title:Title}

{p 4 4 2}
{hi:[M-2] op_kronecker -- Kronecker direct-product operator}


{title:Syntax}

	{it:A} {cmd:#} {it:B}

{p 4 4 2}
where {it:A} and {it:B} may be real or complex.


{title:Description}

{p 4 4 2}
{it:A}{cmd:#}{it:B} returns the Kronecker direct product.  

{p 4 4 2}
Note that {cmd:#} binds tightly:  
{it:X}{cmd:*}{it:A}{cmd:#}{it:B}{cmd:*}{it:Y} 
is interpreted 
as 
{it:X}{cmd:*(}{it:A}{cmd:#}{it:B}{cmd:)*}{it:Y}.


{title:Remarks}

{p 4 4 2}
The Kronecker direct product is also known as the Kronecker product, the
direct product, the tensor product, and the outer product.

{p 4 4 2}
The Kronecker product {it:A}{cmd:#}{it:B} is the matrix 
||{it:a}_{it:ij}*{it:B}||.


{title:Conformability}

    {it:A}{cmd:#}{it:B}:
	{it:A}:  {it:r1 x c1}
	{it:B}:  {it:r2 x c2}
   {it:result}:  {it:r1}*{it:r2} {it:x} {it:c1}*{it:c2}


{title:Diagnostics}

{p 4 4 2}
None.


{title:Also see}

{p 4 13 2}
Manual:  {hi:[M-2] op_kronecker}

{p 4 13 2}
Online:  help for 
{bf:{help m2_exp:[M-2] exp}};
{bf:{help m2_intro:[M-2] intro}}
{p_end}