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Two Harmonic Jacobi–Davidson Methods for Computing a Partial Generalized Singular Value Decomposition of a Large Matrix Pair
Two harmonic extraction based Jacobi–Davidson (JD) type algorithms are proposed to compute a partial generalized singular value decomposition (GSVD)...
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A Cross-Product Free Jacobi–Davidson Type Method for Computing a Partial Generalized Singular Value Decomposition of a Large Matrix Pair
A cross-product free (CPF) Jacobi–Davidson type method is proposed to compute a partial generalized singular value decomposition (GSVD) of a large...
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Length Function and Simultaneous Triangularization of Matrix Pairs
The paper interrelates the simultaneous triangularization problem for matrix pairs with the Paz problem and known results on the length of the matrix...
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The Lax pair structure for the spin Benjamin–Ono equation
We prove that the recently introduced spin Benjamin–Ono equation admits a Lax pair and deduce a family of conservation laws that allow proving global...
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Matrix Equations
This chapter concentrates on solving the matrix equation $$\textbf{A}\textbf{x} =...
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Asymptotic Behaviour of the Non-real Pair-Eigenvalues of a Two Parameter Eigenvalue Problem
This article focuses on a symmetric block operator spectral problem with two spectral parameters. Under some reasonable restrictions, Levitin and...
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Matrix Approximation by a Sum of Matrix Products
In this paper, we consider solutions of the problems related to the modelling of data transmission systems. Mathematically, the problem is formulated...
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On the Resolvent Matrix of the Truncated Hausdorff Matrix Moment Problem
We obtain the resolvent matrix of the truncated Hausdorff matrix moment (THMM) problem on the interval [ a , b ] in case of an even and odd number of...
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A Phase- and Amplification-Fitted 5(4) Diagonally Implicit Runge–Kutta–Nyström Pair for Oscillatory Systems
In this work, a phase- and amplification-fitted 5(4) diagonally implicit pair of Runge–Kutta–Nyström methods with four stages is developed to solve...
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A pair of Mond–Weir type third order symmetric duality
In this framework, a pair of Mond–Weir type third order symmetric nonlinear programming problems are introduced. Appropriate duality theorems are...
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A pair of centro-symmetric heteroclinic orbits coined
Although the axis-symmetric heteroclinic orbits of Lorenz-like systems have been intensively studied in the past decades, scholars seem to pay scant...
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A new extension of generalized Pascal-type matrix and their representations via Riordan matrix
The algebraic approach based on Pascal matrices is important in many fields of mathematics, ranging from algebraic geometry to optimization, matrix...
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Ungraded Matrix Factorizations as Mirrors of Non-orientable Lagrangians
We introduce the notion of ungraded matrix factorization as a mirror of non-orientable Lagrangian submanifolds. An ungraded matrix factorization of a...
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Matrix orthogonal polynomials, non-abelian Toda lattices, and Bäcklund transformations
A connection between matrix orthogonal polynomials and non-abelian integrable lattices is investigated in this paper. The normalization factors of...
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Scattering Problem of Three One-Dimensional Quantum Particles. Case of Repulsive Coulomb Pair Potentials at Large Distances
The present paper considers the quantum scattering problem for three one-dimensional particles with pair Coulomb repulsion potentials at large...
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Generalized Pair-Wise Logit Dynamic and Its Connection to a Mean Field Game: Theoretical and Computational Investigations Focusing on Resource Management
Logit dynamics are evolution equations that describe transitions to equilibria of actions among many players. We formulate a pair-wise logit dynamic...
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Sparse Matrix Ordering Algorithms
So far, our focus has been on the theoretical and algorithmic principles involved in sparse Gaussian elimination-based factorizations. To limit the...
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Reduced AKNS Spectral Problems and Associated Complex Matrix Integrable Models
The aim of this paper is to conduct two group reductions for matrix spectral problems simultaneously. We formulate reduced Ablowitz-Kaup-Newell-Segur...