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Generalized eigenvalue problem for interval matrices
In this paper, the generalized eigenvalue problem for a pair of interval matrices is studied. First, the interval enclosures of every generalized...
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A Generalized Simplified Hermitian and Skew-Hermitian Splitting Preconditioner for Double Saddle Point Problems
AbstractIn this work, we mainly propose a generalized simplified Hermitian and skew-Hermitian splitting (GSHSS) preconditioner for solving double...
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A generalized relaxed block positive-semidefinite splitting preconditioner for generalized saddle point linear system
In this paper, based on the block positive-semidefinite splitting (BPS) preconditioner studied recently and the relaxation technique, a generalized...
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On flexible block Chebyshev-Davidson method for solving symmetric generalized eigenvalue problems
In a recent work (J. Sci. Comput. 85 (2020), no. 3), the author generalized the Chebyshev-Davidson method appeared in standard eigenvalue problems to...
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Fermionic eigenvector moment flow
We exhibit new functions of the eigenvectors of the Dyson Brownian motion which follow an equation similar to the Bourgade-Yau eigenvector moment...
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Principal eigenvector of the signless Laplacian matrix
In this paper, we study the entries of the principal eigenvector of the signless Laplacian matrix of a hypergraph. More precisely, we obtain bounds...
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Generalized eigenvectors of bounded operators
The pseudospectrum and condition spectrum are two essential generalizations of the spectrum. In this paper, we define the eigenvector corresponding...
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Generalized Dimensions and Dynamics
Recent findings of the dynamics of pure point operators are presented, with emphasis on generic behaviors. The underlying technicalities are related... -
Ricci Almost Solitons and Generalized Quasi-Einstein Manifolds
This chapter gives a coverage on Ricci almost soliton and its characterization and classification when it is compact, or contact metric. Next, it... -
Harmonic Forms and Generalized Solitons
In this article we study some geometric properties of generalized solitons. In particular, we establish certain relations between harmonicity and...
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Locally Optimal Eigenpairs of Orthogonally Decomposable Tensors: A Generalized Proof
Orthogonally decomposable (odeco) tensors is a special class of symmetric tensors. Previous works have focused on investigating its E-eigenpairs...
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Generalized Indefinite Strings with Purely Discrete Spectrum
We establish criteria for the spectrum of a generalized indefinite string to be purely discrete and to satisfy Schatten–von Neumann properties. The... -
Entropy and Heat Kernel on Generalized Ricci Flow
We introduce analogous geometric quantities and prove some geometric and analytic bounds in [
1 ] to generalized Ricci flow. -
Generalized Hausdorff-Zhu Operators on Möbius Invariant Spaces
The notion of generalized Hausdorff-Zhu operator (under the name of Hausdorff operator on the disc) was introduced recently by the author. The term...
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A generalized variant of modified relaxed positive-semidefinite and skew-Hermitian splitting preconditioner for generalized saddle point problems
To improve the MRPSS preconditioner developed by Cao et al. (BIT Numer Math 56:423–439, 2016), a generalized variant of the MRPSS ( GMRPSS )...
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Necessary conditions for turnpike property for generalized linear–quadratic problems
In this paper, we develop several necessary conditions of turnpike property for generalized linear–quadratic (LQ) optimal control problem in...
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Direct Minimization of the Canham–Helfrich Energy on Generalized Gauss Graphs
The existence of minimizers of the Canham–Helfrich functional in the setting of generalized Gauss graphs is proved. As a first step, the...
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Generalized Nijenhuis Torsions and Block-Diagonalization of Operator Fields
The theory of generalized Nijenhuis torsions, which extends the classical notions due to Nijenhuis and Haantjes, offers new tools for the study of...
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Structures of Classical and Special Discontinuities for the Generalized Korteweg–de Vries–Burgers Equation in the Case of a Flux Function with Four Inflection Points
AbstractWe study the structure of the set of traveling wave solutions for the generalized Korteweg–de Vries–Burgers equation with the flux function...
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High-order accurate solutions of generalized Riemann problems of nonlinear hyperbolic balance laws
We provide a systematic study for the generalized Riemann problem (GRP) of the nonlinear hyperbolic balance law, which is critically concerned with...