It was my impression that he didn't want a matrix with matrix entries,
but instead wanted the matrix whose entries were given by the entries
of the submatrices.

--Mike

On Jan 8, 2008 11:12 PM, William Stein <[EMAIL PROTECTED]> wrote:
>
> On Jan 8, 2008 11:05 PM, [EMAIL PROTECTED] <[EMAIL PROTECTED]> wrote:
> >
> >
> >
> > On Jan 9, 7:43 am, "William Stein" <[EMAIL PROTECTED]> wrote:
> >
> > > On Jan 8, 2008 4:27 AM, vgermrk <[EMAIL PROTECTED]> wrote:
> > >
> > >
> > >
> > > > Is there a way to construct block matrices in SAGE?
> > > > Not just the "block_sum", "augment" and "stack" functions.
> > >
> > > > As an example, let A, B, C, D be matrices and i want to construct a
> > > > matrix like E=[[A,B],[C,D]]
> > >
> > > > Such a feature would be very nice.
> > >
> > > Sage's MatrixSpace and matrix don't have support for this.
> > > numpy (which you get via "import numpy") might have support
> > > for numerical matrices like this.
> >
> > CVXOPT also has support for this:
> > http://abel.ee.ucla.edu/cvxopt/examples/short-examples/creating-matrices/
>
> And, just to be clear, CVXOPT is standard in Sage.
>
> There are a number of caveats though.  Currently you really have to switch
> to python mode to create a cvxopt matrix in Sage, probably because of
> preparser issues (see below).  Also, more importantly, it looks to me
> like making a matrix from matrices in CVXOPT does *not* make a matrix
> with matrix entries, but instead makes a single matrix -- see below.
>
>
> {{{id=0|
> %python
>
> from cvxopt.base import matrix
> A = matrix([1.0, 2.0, 3.0, 4.0, 5.0, 6.0], (2,3))
> print A
> ///
>    1.0000e+00   3.0000e+00   5.0000e+00
>    2.0000e+00   4.0000e+00   6.0000e+00
> }}}
>
> {{{id=1|
> %python
>
> B = matrix([ [1.0, 2.0], [3.0, 4.0] ])
> print B
> ///
>    1.0000e+00   3.0000e+00
>    2.0000e+00   4.0000e+00
> }}}
>
> {{{id=2|
> %python
>
> a = matrix([ [A] ,[B] ])
> }}}
>
> {{{id=4|
> print a
> ///
>    1.0000e+00   3.0000e+00   5.0000e+00   1.0000e+00   3.0000e+00
>    2.0000e+00   4.0000e+00   6.0000e+00   2.0000e+00   4.0000e+00
>
> }}}
>
> >
>

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