Displacement operator based decompositions of matrices using circulants or other group matrices

DOI10.1016/0024-3795(90)90392-PzbMath0706.65041MaRDI QIDQ918633

Paul D. Gader

Publication date: 1990

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

decompositioncirculant matrixdisplacementgroup matriceslower triangular Toeplitz matrices

Mathematics Subject Classification ID

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Minimal rank of abelian group matrices, On algebras of Toeplitz plus Hankel matrices, Matrix decompositions using displacement rank and classes of commutative matrix algebras, Algebras of higher dimension for displacement decompositions and computations with Toeplitz plus Hankel matrices, Structure of algebras of commutative matrices, Matrix displacement decompositions and applications to Toeplitz linear systems, \(h\)-space structure in matrix displacement formulas, Classical foundations of algorithms for solving positive definite Toeplitz equations, Skew cyclic displacements and decompositions of inverse matrix for an innovative structure matrix, Skew cyclic displacements and inversions of two innovative patterned matrices, Displacement operators relative to group matrices, Cyclic displacements and decompositions of inverse matrices for CUPL Toeplitz matrices, Matrix algebras in optimal preconditioning, Algebras closed by \(J\)-Hermitianity in displacement formulas, Circulants, displacements and decompositions of matrices

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