Exact block diagonalization of large eigenvalue problems for structures with symmetry

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<jats:title>Abstract</jats:title><jats:p>We consider large eigenvalue problems for skeletal structures with symmetry. We present an algorithm, based upon a novel combination of group‐theoretic ideas and substructuring techniques, that block‐diagonalizes such systems exactly and efficiently. The procedure requires only the structural matrices of a repeating substructure, together with the symmetry modes, which are obtained from symmetry considerations alone. We first present a simple paradigmatic example and then follow with several non‐trivial applications involving large lattice structures.</jats:p>

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