EIGENVALUES OF SEVERAL TRIDIAGONAL MATRICES

By Wen-Chyuan Yueh. 2005

303 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/3243219ca27016a3e9b74d38256d33d7a4af1ac8

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Citations in the corpus

Identifying Cointegration by Eigenanalysis (2015, background): “ Statistics, 34, 2939–2979. [8] Dopico,F.M.,Moro,J.andMolera,J.M.(2000). Weyl-type relative perturbation bounds for eigensystems of Hermitian matrices. Linear Algebra and its Applications, 309, 3–18. [9] Engle,R.andGranger,C.W.J.(1987). Cointegration and error correction: representation, estimation ”
EXPLICIT EIGENVALUES AND INVERSES OF TRIDIAGONAL TOEPLITZ MATRICES WITH FOUR PERTURBED CORNERS (2008, methodology): “Then since and a /ρ = c ρ , we have (an error occurs in [8] by writing ac instead of ρ c in formula (1.4) and all subsequent formulae; this error is corrected here) and, by the method of partial fractions, we can then write (3.1) in the form [1, 8] By evaluating the convolution product, we obtain…”
A discrete mechanical model of fractional hereditary materials (2013, background): “The eigenvalues λj and the normalized eigenvectors φj of particular tridiagonal matrix A may be found in [22, 23] and they are reported below:”
EIGENVALUES AND EIGENVECTORS OF TRIDIAGONAL MATRICES (2006, background): “Yueh[1] has generalized the results of J.”
The Smooth-Lasso and other ℓ1+ℓ2-penalized methods (2011, methodology): “This spectrum lies in Given the values of ǫ and of | β ∗ | 2 , we get the control (cid:13)(cid:13)(cid:13) (cid:13)(cid:13)(cid:13) where we used the deﬁnition of µ n provided in Corollary 1.”
Robust smoothing of gridded data in one and higher dimensions with missing values (2010, unknown): “An eigendecomposition of D yields D = UΛU −1 , where Λ is the diagonal matrix containing the eigenvalues of D defined by Yueh (2005): Λ = diag (λ 1 , . . . , λ n ) with λ i = −2 + 2 cos ((i − 1)π /n) .”