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Sparse Eigenbasis Approximation (SEBA) algorithm added. #1260

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mkalia94
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@mkalia94 mkalia94 commented Apr 4, 2025

The function seba is added to eigen.jl to implement the Sparse Eigenbasis Algorithm as natively part of LinearAlgebra.jl. It is composed of the function seba that accepts a matrix (square or tall and thin) and computes a sparse basis for the space spanned by its columns. Tests also added to test/eigen.jl. The SEBA algorithm can be found here.

@dkarrasch
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I wonder if this is better suited for an external package. In fact, this is already available in at least one package, though not registered: https://github.com/CoherentStructures/CoherentStructures.jl/blob/master/src/seba.jl. Or, conversely, what's the argument/necessity for adding this here?

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