The Flag Decomposition factors a matrix with a nested column hierarchy into an orthonormal flag, a block upper triangular matrix, and a permutation, computed by a block Gram-Schmidt algorithm.
Numerical methods for computing angles between linear subspaces.Mathematics of computation, 27(123):579–594, 1973
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A Flag Decomposition for Hierarchical Datasets
The Flag Decomposition factors a matrix with a nested column hierarchy into an orthonormal flag, a block upper triangular matrix, and a permutation, computed by a block Gram-Schmidt algorithm.