A constructive proof of the Gohberg-Semencul formula

DOI10.1016/0024-3795(89)90717-9zbMath0678.15003OpenAlexW2045867863MaRDI QIDQ1123946

Thomas Kailath, Joohwan Chun

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90717-9

zbMATH Keywords

Toeplitz matrixinverseconstructive proofGohberg-Semencul formulashyperbolic Householder reflectionsJ-unitary matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (1)

A note on the structured perturbation analysis for the inversion formula of Toeplitz matrices

Cites Work

• Fast matrix factorizations via discrete transmission lines
• Displacement ranks of a matrix
• Fast Parallel Algorithms for QR and Triangular Factorization
• Inverses of Toeplitz Operators, Innovations, and Orthogonal Polynomials
• Maximum entropy and the moment problem
• An Algorithm for the Inversion of Finite Toeplitz Matrices
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