The tensor structure of the inverse of a banded Toeplitz matrix

DOI10.1134/S106456240905010XzbMath1181.15037OpenAlexW2059594252MaRDI QIDQ1048535

Nikolai L. Zamarashkin, Evgenij E. Tyrtyshnikov, Ivan V. Oseledets

Publication date: 12 January 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106456240905010x

zbMATH Keywords

semiseparable matricescompression ranksmatrices inverse to banded Toeplitz matricessmall Toeplitz rankTTM-decomposition of matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Vector spaces, linear dependence, rank, lineability (15A03) Toeplitz, Cauchy, and related matrices (15B05)

Related Items

Set-theoretic defining equations of the tangential variety of the Segre variety, Fast solution of unsymmetric banded Toeplitz systems by means of spectral factorizations and Woodbury's formula

Cites Work

• Approximate iterations for structured matrices
• Structured matrices and Newton's iteration: unified approach
• Effective Methods for Solving Banded Toeplitz Systems