Real Polynomial Chebyshev Approximation by the CarathodoryFejr method
 Gutknecht, M Trefethen, L SIAM Journal on Numerical Analysis volume 19 issue 2 358-371 (17 Apr 1982) doi:10.1137/0719022
How Fast are Nonsymmetric Matrix Iterations?
 Nachtigal, N Reddy, S Trefethen, L SIAM Journal on Matrix Analysis and Applications volume 13 issue 3 778-795 (17 Jul 1992) doi:10.1137/0613049
A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems
 Nachtigal, N Reichel, L Trefethen, L SIAM Journal on Matrix Analysis and Applications volume 13 issue 3 796-825 (17 Jul 1992) doi:10.1137/0613050
The CarathodoryFejr Method for Real Rational Approximation
 Trefethen, L Gutknecht, M SIAM Journal on Numerical Analysis volume 20 issue 2 420-436 (17 Apr 1983) doi:10.1137/0720030
Circularity of the Error Curve and Sharpness of the CF Method in Complex Chebyshev Approximation
 Trefethen, L SIAM Journal on Numerical Analysis volume 20 issue 6 1258-1263 (17 Dec 1983) doi:10.1137/0720097
An Instability Phenomenon in Spectral Methods
 Trefethen, L Trummer, M SIAM Journal on Numerical Analysis volume 24 issue 5 1008-1023 (14 Oct 1987) doi:10.1137/0724066
The Eigenvalues of Second-Order Spectral Differentiation Matrices
 Weideman, J Trefethen, L SIAM Journal on Numerical Analysis volume 25 issue 6 1279-1298 (14 Dec 1988) doi:10.1137/0725072
Numerical Computation of the Schwarz–Christoffel Transformation
 Trefethen, L SIAM Journal on Scientific Computing volume 1 issue 1 82-102 (Mar 1980) doi:10.1137/0901004
Erratum: Numerical Computation of the Schwarz–Christoffel Transformation
 Trefethen, L SIAM Journal on Scientific Computing volume 1 issue 2 302-302 (Jun 1980) doi:10.1137/0901020
A Modified Schwarz–Christoffel Transformation for Elongated Regions
 Howell, L Trefethen, L SIAM Journal on Scientific Computing volume 11 issue 5 928-949 (Sep 1990) doi:10.1137/0911054
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