m4_standard.hlp

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{smcl}
{* 02apr2005}{...}
{cmd:help m4 standard}
{hline}
{* index matrix functions}{...}
{* index mathematical functions}{...}

{title:Title}

{p 4 4 2}
{bf:[M-4] standard -- Functions to create standard matrices}


{title:Contents}

{col 5}   {bf:[M-5]}
{col 5}{bf:Manual entry{col 22}Function{col 40}Purpose}
{col 5}{hline}

{col 5}   {c TLC}{hline 26}{c TRC}
{col 5}{hline 3}{c RT}{it: Unit & constant matrices }{c LT}{hline}
{col 5}   {c BLC}{hline 26}{c BRC}

{col 5}{bf:{help mf_i:I()}}{...}
{col 22}{cmd:I()}{...}
{col 40}identity matrix

{...}
{col 5}{bf:{help mf_e:e()}}{...}
{col 22}{cmd:e()}{...}
{col 40}unit vectors
{...}

{col 5}{bf:{help mf_j:J()}}{...}
{col 22}{cmd:J()}{...}
{col 40}matrix of constants
{...}

{col 5}{bf:{help mf_designmatrix:designmatrix()}}{...}
{col 22}{cmd:designmatrix()}{...}
{col 40}design matrices
{...}

{col 5}   {c TLC}{hline 25}{c TRC}
{col 5}{hline 3}{c RT}{it: Block-diagonal matrices }{c LT}{hline}
{col 5}   {c BLC}{hline 25}{c BRC}

{col 5}{bf:{help mf_blockdiag:blockdiag()}}{...}
{col 22}{cmd:blockdiag()}{...}
{col 40}block-diagonal matrix
{...}

{col 5}   {c TLC}{hline 8}{c TRC}
{col 5}{hline 3}{c RT}{it: Ranges }{c LT}{hline}
{col 5}   {c BLC}{hline 8}{c BRC}

{col 5}{bf:{help mf_range:range()}}{...}
{col 22}{cmd:range()}{...}
{col 40}vector over specified range
{...}

{col 5}{bf:{help mf_unitcircle:unitcircle()}}{...}
{col 22}{cmd:unitcircle()}{...}
{col 40}unit circle on complex plane
{...}

{col 5}   {c TLC}{hline 8}{c TRC}
{col 5}{hline 3}{c RT}{it: Random }{c LT}{hline}
{col 5}   {c BLC}{hline 8}{c BRC}

{col 5}{bf:{help mf_uniform:uniform()}}{...}
{col 22}{cmd:uniform()}{...}
{col 40}uniformly distributed random numbers
{col 22}{cmd:uniformseed()}{...}
{col 40}obtain or set {cmd:uniform()} seed

{col 5}   {c TLC}{hline 16}{c TRC}
{col 5}{hline 3}{c RT}{it: Named matrices }{c LT}{hline}
{col 5}   {c BLC}{hline 16}{c BRC}

{col 5}{bf:{help mf_hilbert:Hilbert()}}{...}
{col 22}{cmd:Hilbert()}{...}
{col 40}Hilbert matrices
{col 22}{cmd:invHilbert()}{...}
{col 40}inverse Hilbert matrices

{col 5}{bf:{help mf_toeplitz:Toeplitz()}}{...}
{col 22}{cmd:Toeplitz()}{...}
{col 40}Toeplitz matrices

{col 5}{bf:{help mf_vandermonde:Vandermonde()}}{...}
{col 22}{cmd:Vandermonde()}{...}
{col 40}Vandermonde matrices
{col 5}{hline}


{title:Description}

{p 4 4 2}
The functions above create standard matrices such as the identity matrix, 
etc.


{title:Remarks}

{p 4 4 2}
For other mathematical functions, see

	{bf:{help m4_matrix:[M-4] matrix}}          Matrix mathematical functions

	{bf:{help m4_scalar:[M-4] scalar}}          Scalar mathematical functions

	{bf:{help m4_mathematical:[M-4] mathematical}}    Important mathematical functions
	

{title:Also see}

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

{p 4 13 2}
Online:  help for 
{bf:{help m4_intro:[M-4] intro}},
{bf:{help mata:[M-0] intro}}
{p_end}