Sparse uniformly distributed random matrix

`R = sprand(S)`

R = sprand(m,n,density)

R = sprand(m,n,density,rc)

`R = sprand(S)`

has the same
sparsity structure as `S`

, but uniformly distributed random entries.

`R = sprand(m,n,density)`

is
a random, `m`

-by-`n`

, sparse matrix
with approximately `density*m*n`

uniformly distributed
nonzero entries (`0 <= density <= 1`

).

`R = sprand(m,n,density,rc)`

also
has reciprocal condition number approximately equal to `rc`

. `R`

is
constructed from a sum of matrices of rank one.

If `rc`

is a vector of length `lr`

,
where `lr <= min(m,n)`

, then `R`

has `rc`

as
its first `lr`

singular values, all others are zero.
In this case, `R`

is generated by random plane rotations
applied to a diagonal matrix with the given singular values. It has
a great deal of topological and algebraic structure.

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