Results 1 to 10 of about 418,739 (154)
Quaternionic eigenvalue problem [PDF]
Journal of Mathematical Physics, 2002 We discuss the (right) eigenvalue equation for $\mathbb{H}$, $\mathbb{C}$ and $\mathbb{R}$ linear quaternionic operators. The possibility to introduce an isomorphism between these operators and real/complex matrices allows to translate the quaternionic ...
De Leo S. +18 more
core +5 more sources
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
doaj +2 more sources
Multiple-rank modification of symmetric eigenvalue problem [PDF]
MethodsX, 2018 Rank-1 modifications applied k-times (k > 1) often are performed to achieve a rank-k modification. We propose a rank- k modification for enhancing computational efficiency. As the first step toward a rank- k modification, an algorithm to perform a rank-2
HyungSeon Oh, Zhe Hu
doaj +2 more sources
Structured Eigenvalue Problems [PDF]
GAMM-Mitteilungen, 2006 AbstractMost eigenvalue problems arising in practice are known to be structured. Structure is often introduced by discretization and linearization techniques but may also be a consequence of properties induced by the original problem. Preserving this structure can help preserve physically relevant symmetries in the eigenvalues of the matrix and may ...
Fassbender, Heike, Kressner, Daniel
openaire +2 more sources
Generalized eigenvalue problems with specified eigenvalues [PDF]
IMA Journal of Numerical Analysis, 2013 We consider the distance from a (square or rectangular) matrix pencil to the nearest matrix pencil in 2-norm that has a set of specified eigenvalues. We derive a singular value optimization characterization for this problem and illustrate its usefulness for two applications.
D. Kressner +3 more
openaire +6 more sources
Nonlinear Eigenvalue Problems with Specified Eigenvalues [PDF]
SIAM Journal on Matrix Analysis and Applications, 2014 This work considers eigenvalue problems that are nonlinear in the eigenvalue parameter. Given such a nonlinear eigenvalue problem $T$, we are concerned with finding the minimal backward error such that $T$ has a set of prescribed eigenvalues with prescribed algebraic multiplicities.
Michael Karow +2 more
openaire +5 more sources
Quadratic Eigenvalue Problems [PDF]
Mathematische Nachrichten, 1995 We consider the quadratic eigenvalue problem \[ (\mu^2 R+\mu S+T) y= 0\tag{1} \] with selfadjoint operators \(R\), \(S\) and \(T\) in the Hilbert space \({\mathcal G}\). The operator \(S\) is supposed to be ``large'' with respect to the operators \(R\) and \(T\). For simplicity we assume that \(R\) and \(T\) have bounded inverses. If, additionally, \(S\
Ćurgus, Branko, Najman, Branko
openaire +2 more sources
Nonlinear Analysis, 2022 In this paper, we are concerned with the eigenvalue problem of Hadamard-type singular fractional differential equations with multi-point boundary conditions.
Xinguang Zhang +4 more
doaj +1 more source
The octonionic eigenvalue problem [PDF]
, 2012 By using a real matrix translation, we propose a coupled eigenvalue problem for octonionic operators. In view of possible applications in quantum mechanics, we also discuss the hermiticity of such operators.
Adler S L +10 more
core +2 more sources
THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM
Forum of Mathematics, Sigma, 2015 The hyperbolic quadratic eigenvalue problem (HQEP) was shown to admit Courant–Fischer type min–max principles in 1955 by Duffin and Cauchy type interlacing inequalities in 2010 by Veselić.
XIN LIANG, REN-CANG LI
doaj +1 more source