Results 11 to 20 of about 448,247 (335)
Simplification of the Gram Matrix Eigenvalue Problem for Quadrature Amplitude Modulation Signals [PDF]
Entropy, 2022 In quantum information science, it is very important to solve the eigenvalue problem of the Gram matrix for quantum signals. This allows various quantities to be calculated, such as the error probability, mutual information, channel capacity, and the ...
Ryusuke Miyazaki +2 more
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A Test Matrix for an Inverse Eigenvalue Problem [PDF]
Journal of Applied Mathematics, 2014 We present a real symmetric tridiagonal matrix of order n whose eigenvalues are {2k}k=0n-1 which also satisfies the additional condition that its leading principle submatrix has a uniformly interlaced spectrum, {2l+1}l=0n-2.
G. M. L. Gladwell +2 more
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Laguerre’s method applied to the matrix eigenvalue problem [PDF]
Mathematics of Computation, 1964 1. Introduction. We present a new algorithm for the calculation of the eigenvalues of real square matrices of orders up to 100. The basic method is directly applicable to complex matrices as well and, in both cases, with each eigenvalue X of A a vector v is produced for which (A - XI)v is null except for a small last element.
B. Parlett
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Some Modified Matrix Eigenvalue Problems [PDF]
SIAM Review, 1973 We consider the numerical calculation of several matrix eigenvalue problems which require some manipulation before the standard algorithms may be used. This includes finding the stationary values of a quadratic form subject to linear constraints and determining the eigenvalues of a matrix which is modified by a matrix of rank one.
G. Golub
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Equivalence of Sturm-Liouville Problem with Finitely Many δ-Interactions and Matrix Eigenvalue Problems [PDF]
International Journal of Analysis and Applications, 2018 The purpuse of this article is to show the matrix representations of Sturm-Liouville operators with finitely many δ-interactions. We show that a Sturm-Liouville problem with finitely many δ-interactions can be represented as a finite dimensional matrix ...
Abdullah Kablan, Mehmet Akif Çetin
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Positive eigenvector of nonlinear eigenvalue problem with a singular M-matrix and Newton-SOR iterative solution [PDF]
Journal of Inequalities and Applications, 2016 Some sufficient conditions are proposed in this paper such that the nonlinear eigenvalue problem with an irreducible singular M-matrix has a unique positive eigenvector.
Cheng-yi Zhang +2 more
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The inverse eigenvalue problem for a Hermitian reflexive matrix and the optimization problem [PDF]
Journal of Computational and Applied Mathematics, 2016 The inverse eigenvalue problem and the associated optimal approximation problem for Hermitian reflexive matrices with respect to a normal {k+1}-potent matrix are considered.
S. Gigola, L. Lebtahi, N. Thome
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A Power Method for Computing the Dominant Eigenvalue of a Dual Quaternion Hermitian Matrix [PDF]
Journal of Scientific Computing, 2023 In this paper, we first study the projections onto the set of unit dual quaternions, and the set of dual quaternion vectors with unit norms. Then we propose a power method for computing the dominant eigenvalue of a dual quaternion Hermitian matrix. For a
Chunfeng Cui, L. Qi
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Axioms, 2023 Matrix representations for a class of Sturm–Liouville problems with eigenparameters contained in the boundary and interface conditions were studied. Given any matrix eigenvalue problem of a certain type and an eigenparameter-dependent condition, a class ...
Shuang Li, Jinming Cai, Kun Li
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Random matrix eigenvalue problems in structural dynamics: An iterative approach
, 2022 Uncertainties need to be taken into account in the dynamic analysis of complex structures. This is because in some cases uncertainties can have a significant impact on the dynamic response and ignoring it can lead to unsafe design.
S. Adhikari, S. Chakraborty
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