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From: David Abrahams (dave_at_[hidden])
Date: 2004-07-06 07:55:46

Deane Yang <deane_yang_at_[hidden]> writes:

> Michael Stevens wrote:
>> This is very odd. In linear algebra there is no such thing as a
>> matrix of matrices.
> Yes, there is. It's a linear transformation mapping
> a space of matrices to another space of matrices.
> But could Jeremy or David provide some examples of useful applications
> of such an object? They are immensely useful in pure mathematics;
> I would love to know how they arise in more practical areas.

They're used in numerical simulations in the frequency domain
(, and they form
the basis for the validity of many blocked matrix operations. The
fact that you can view it as an optimization or an operation on a
matrix of matrices should mean that you can achieve better code reuse
in the library.

Dave Abrahams
Boost Consulting

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