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A superfast solver for real symmetric Toeplitz systems using real trigonometric transformations

https://doi.org/10.1002/nla.445
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-0129-8openalex-snapshot
Structured Matrices and Polynomials
inferredcites →https://doi.org/10.1007/bf01195878openalex-snapshot
Lagrange's formula for tangential interpolation with application to structured matrices
inferredcites →https://doi.org/10.1007/bf02109186openalex-snapshot
Fast algorithms for discrete Chebyshev-Vandermonde transforms and applications
inferredcites →https://doi.org/10.1007/bf02575714openalex-snapshot
A fast block Hankel solver based on an inversion formula for block Loewner matrices
inferredcites →https://doi.org/10.1016/0024-3795(80)90161-5openalex-snapshot
Asymptotically fast solution of toeplitz and related systems of linear equations
inferredcites →https://doi.org/10.1016/0024-3795(87)90107-8openalex-snapshot
A new algorithm for solving Toeplitz systems of equations
inferredcites →https://doi.org/10.1016/0196-6774(80)90013-9openalex-snapshot
Fast solution of toeplitz systems of equations and computation of Padé approximants
inferredcites →https://doi.org/10.1016/0377-0427(93)90148-5openalex-snapshot
Chebyshev polynomials of the second, third and fourth kinds in approximation, indefinite integration, and integral transforms
inferredcites →https://doi.org/10.1016/s0024-3795(00)00300-1openalex-snapshot
Chebyshev–Hankel matrices and the splitting approach for centrosymmetric Toeplitz-plus-Hankel matrices
inferredcites →https://doi.org/10.1109/icassp.1980.1171074openalex-snapshot
Doubling algorithms for Toeplitz and related equations
inferredcites →https://doi.org/10.1137/0609005openalex-snapshot
Superfast Solution of Real Positive Definite Toeplitz Systems
inferredcites →https://doi.org/10.1137/s089547980241791xopenalex-snapshot
A Superfast Toeplitz Solver with Improved Numerical Stability
inferredcites →https://doi.org/10.1137/s0895479899362302openalex-snapshot
A Stabilized Superfast Solver for Nonsymmetric Toeplitz Systems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-7643-8996-3_2openalex-snapshot
Georg Heinig November 24, 1947 - May 10, 2005 A Personal Memoir and Appreciation
inferred← citeshttps://doi.org/10.1007/s10543-011-0356-yopenalex-snapshot
Multigrid methods for Toeplitz linear systems with different size reduction
inferred← citeshttps://doi.org/10.1007/s11075-010-9421-xopenalex-snapshot
A fast solver for linear systems with displacement structure
inferred← citeshttps://doi.org/10.1007/s12190-022-01819-7openalex-snapshot
Numerical algorithms for corner-modified symmetric Toeplitz linear system with applications to image encryption and decryption
inferred← citeshttps://doi.org/10.1007/s13160-023-00616-4openalex-snapshot
Fast algorithms for perturbed Toeplitz-plus-Hankel system based on discrete cosine transform and their applications
inferred← citeshttps://doi.org/10.1007/s40314-024-02773-9openalex-snapshot
Fast algorithms for the solution of perturbed symmetric Toeplitz linear system and its applications
inferred← citeshttps://doi.org/10.1016/j.dsp.2010.03.002openalex-snapshot
Trading-off matrix size and matrix structure: Handling Toeplitz equations by embedding on a larger circulant set
inferred← citeshttps://doi.org/10.1016/j.laa.2013.02.020openalex-snapshot
Wiener–Hopf and spectral factorization of real polynomials by Newton’s method
inferred← citeshttps://doi.org/10.14209/sbrt.2007.31256openalex-snapshot
Uma Técnica de Múltiplo Acesso Baseada na Auto-estrutura das Transformadas Trigonométricas
inferred← citeshttps://doi.org/10.1515/jiip-2015-0089openalex-snapshot
Recovery of harmonic functions from partial boundary data respecting internal pointwise values
inferred← citeshttps://doi.org/10.3846/13926292.2013.839964openalex-snapshot
A GENERALIZED PRECONDITIONED MHSS METHOD FOR A CLASS OF COMPLEX SYMMETRIC LINEAR SYSTEMS
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