1984•International Journal of Systems ScienceRequires access

Block-diagonalization and block-triangularization of a matrix via the matrix sign function

L.S. Shieh, Y.T. Tsay, Shih-Wei Lin, Norman P. Coleman

Abstract

A matrix sign function in conjunction with a geometric approach is utilized to construct a block modal matrix and a (scalar) modal matrix of a system map, so that the system map can be block-diagonalized and block-triangularized, and that the Riccati-type problems can be solved.

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Key concepts: Block matrix, Matrix function, Block (permutation group theory), Mathematics, Matrix (chemical analysis), Scalar (mathematics), Single-entry matrix, Hollow matrix