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Jacobi method for dual quaternion Hermitian eigenvalue problems and applications
Eigenvalue decomposition of quaternion Hermitian matrices is a crucial mathematical tool for color image reconstruction and recognition. Quaternion...
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The Hermitian Jacobi Process: A Simplified Formula for the Moments and Application to Optical Fiber MIMO Channels
AbstractUsing a change of basis in the algebra of symmetric functions, we compute the moments of the Hermitian Jacobi process. After a careful...
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Parameterized QHSS Iteration Method and Its Variants for Non-Hermitian Positive Definite Linear Systems of Strong Skew-Hermitian Parts
Based on the quasi-Hermitian and skew-Hermitian splitting (QHSS) iteration method proposed by Bai for solving the large sparse non-Hermitian positive...
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Computing interior eigenpairs in augmented Krylov subspace produced by Jacobi–Davidson correction equation
As we know, the Jacobi–Davidson iteration method is very efficient for computing both extreme and interior eigenvalues of standard eigenvalue...
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Spectral transformations and second kind polynomials associated with a hermitian linear functional
The aim of this paper is to analyze the relation between the Christoffel transformations in the framework of hermitian linear functionals and the...
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Jacobi Matrices and the Classical Moment Problem
This section is devoted to the presentation of the basic provisions of the theory of (ordinary numerical tri-diagonal) Jacobi matrices and the...
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Almost-Hermitian random matrices and bandlimited point processes
We study the distribution of eigenvalues of almost-Hermitian random matrices associated with the classical Gaussian and Laguerre unitary ensembles....
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Graded rings of Hermitian modular forms with singularities
We study graded rings of meromorphic Hermitian modular forms of degree two whose poles are supported on an arrangement of Heegner divisors. For the...
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Structure of Hermitian modular forms modulo p and some applications
We determine the ring structure of certain Hermitian modular forms of degree 2 modulo a prime p . As an application, we provide a criterion of not...
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Matrix-Free Parallel Preconditioned Iterative Solvers for the 2D Helmholtz Equation Discretized with Finite Differences
We present a matrix-free parallel iterative solver for the Helmholtz equation related to applications in seismic problems and study its parallel...
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Modulus-Based Matrix Splitting Iteration Method for Horizontal Quasi-complementarity Problem
In this paper, the modulus-based matrix splitting (MMS) iteration method is extended to solve the horizontal quasi-complementarity problem (HQCP),...
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Universal cutoff for Dyson Ornstein Uhlenbeck process
We study the Dyson–Ornstein–Uhlenbeck diffusion process, an evolving gas of interacting particles. Its invariant law is the beta Hermite ensemble of...
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Classification and Theory of Krylov Subspace Methods
Krylov subspace methods are roughly classified into three groups: ones for Hermitian linear systems, for complex symmetric linear systems, and for...
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Numerical methods for accurate computation of the eigenvalues of Hermitian matrices and the singular values of general matrices
This paper offers a review of numerical methods for computation of the eigenvalues of Hermitian matrices and the singular values of general and some...
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Universal eigenvalue statistics for dynamically defined matrices
We consider dynamically defined Hermitian matrices generated from orbits of the doubling map. We prove that their spectra fall into the GUE...