A conjectured algorithm for determining the modulus of the dominant eigenvalue of an arbitrary square matrix

A conjectured algorithm for determining the modulus of the dominant eigenvalue of an arbitrary square matrix

The known formula [ ] ( ) 1 1 / Tr N N λ = A , where A is an n n × Hermitian matrix, 1 λ is its dominant eigenvalue and N is a sufficiently large positive integer, is given the modification ( ) 1 1 / Tr N N λ = A . This modification is conjectured to apply to any n n × matrices, whether Hermitian or...

Saved in:

書目詳細資料
Main Authors:	Gonzalez, Emmanuel A., Estalilla, Aliento V.
格式:	text
出版:	Animo Repository 2007
主題:	Hermitian operators Eigenvalues Theory and Algorithms
在線閱讀:	https://animorepository.dlsu.edu.ph/faculty_research/9832
標簽:	添加標簽沒有標簽, 成為第一個標記此記錄!
機構:	De La Salle University

相似書籍

Methods in constructing symmetric and Hermitian matrices with prescribed eigenvalues and eigenvectors
由: Arrienda, Marie Josephine N., et al.
出版: (1993)

On some inverse eigenvalue problems for Hermitian and generalized Hamiltonian/skew-Hamiltonian matrices
由: Qian, J., et al.
出版: (2016)

Algorithms of eigenvalues and eigenvectors
由: Atienza, Nelson T., et al.
出版: (1996)

Computation of derivatives of repeated eigenvalues and the corresponding eigenvectors of symmetric matrix pencils
由: Andrew, A.L., et al.
出版: (2014)

Computing derivatives of repeated eigenvalues and corresponding eigenvectors of quadratic eigenvalue problems
由: Qian, J., et al.
出版: (2014)

A new algorithm for an eigenvalue assignment problem from singular control theory
由: Chu, D., et al.
出版: (2014)

Gauge invariant eigenvalue problems in ℝ2 and in ℝ+ 2
由: Lu, K., et al.
出版: (2014)

Iterative computation of derivatives of repeated eigenvalues and the corresponding eigenvectors
由: Andrew, A.L., et al.
出版: (2014)

Infinite eigenvalue assignment for singular systems
由: Chu, D., et al.
出版: (2014)

Eigenvalues of scaling operators and a characterization of B-splines
由: GAO XIAOJIE, et al.
出版: (2014)

Strong semismoothness of eigenvalues of symmetric matrices and its application to inverse eigenvalue problems
由: Sun, D., et al.
出版: (2013)

Generalized Wigner-Smith analysis of resonance perturbations in arbitrary Q non-Hermitian systems
由: Byrnes, Niall, et al.
出版: (2025)

Eigenvalues of the derangement graph
由: Ku, C.Y., et al.
出版: (2014)

An eigenvalue problem for a large sparse skew symmetric matrix
由: Puntip Toghaw
出版: (2023)

A dual optimization approach to inverse quadratic eigenvalue problems with partial eigenstructure
由: Bai, Z.-J., et al.
出版: (2014)

Smoothing approximations for two classes of convex eigenvalue optimization problems
由: YU QI
出版: (2010)

Graphs with three eigenvalues and second largest eigenvalue at most 1
由: Cheng, Xi-Ming, et al.
出版: (2020)

Eigenvalues of Lidstone boundary value problems
由: Wong, P.J.Y., et al.
出版: (2014)

Fluctuations of Linear Eigenvalues Statistics for Wigner Matrices: Edge Case
由: Pan, Guangming, et al.
出版: (2017)

Eigenvalues of boundary value problems for higher order differential equations
由: Wong, P.J.Y., et al.
出版: (2014)

On a generalized eigenvalue problem for nonsquare pencils
由: Chu, D., et al.
出版: (2014)

On two-point right focal eigenvalue problems
由: Wong, P.J.Y., et al.
出版: (2014)

On eigenvalue intervals and twin eigenfunctions of higher-order boundary value problems
由: Wong, P.J.Y., et al.
出版: (2014)

Generalized multipoint conjugate Eigenvalue problems
由: Wong, P.J.Y., et al.
出版: (2014)

On a lower bound for the Laplacian eigenvalues of a graph
由: Greaves, Gary Royden Watson, et al.
出版: (2020)

Characterization of Eigenvalues for Difference Equations Subject to Lidstone Conditions
由: Wong, P.J.Y., et al.
出版: (2014)

A state-of-the-art review on theory and engineering applications of eigenvalue and eigenvector derivatives
由: Lin, Rongming, et al.
出版: (2022)

Tracy-widom law for the extreme eigenvalues of large signal-plus-noise matrices
由: Zhang, Zhixiang, et al.
出版: (2024)

COMPUTATION OF DERIVATIVES OF EIGENVALUES AND CORRESPONDING EIGENVECTORS OF PARAMETER-DEPENDENT MATRICES
由: CHNG YUAN ZHANG MAURICE
出版: (2020)

Hamiltonian non-Hermicity: accurate dynamics with the multiple Davydov D2 Ansätze
由: Zhang, Lixing, et al.
出版: (2024)

Almost sure limit of the smallest eigenvalue of sample correlation matrix
由: XIAO HAN
出版: (2010)

Eigenvalue theorems for discrete multipoint conjugate boundary value problems
由: Wong, P.J.Y., et al.
出版: (2014)

Small Eigenvalues of the Laplacians on Vector Bundles over Towers of Covers
由: To, W.-K.
出版: (2014)

Non-Hermitian topological systems with eigenvalues that are always real
由: Long, Yang, et al.
出版: (2022)

An iterative method for exact eigenvalues and eigenvectors of general nonviscously damped structural systems
由: Lin, Rongming, et al.
出版: (2020)

Exact separation of eigenvalues of large dimensional sample covariance matrices
由: Bai, Z.D., et al.
出版: (2014)

Central limit theorems for eigenvalues in a spiked population model
由: Bai, Z., et al.
出版: (2014)

Müntz ball polynomials and Müntz spectral-Galerkin methods for singular eigenvalue problems
由: Yang, Xiu, et al.
出版: (2023)

Computation of mixed partial derivatives of eigenvalues and eigenvectors by simultaneous iteration
由: Andrew, A.L., et al.
出版: (2014)

Fourier expansion-based differential quadrature and its application to Helmholtz eigenvalue problems
由: Shu, C., et al.
出版: (2014)