Non-Hermitian Random Matrix Theory and Lattice QCD with Chemical Potential [PDF]
H. Markum, Rainer Pullirsch, Tilo Wettig
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A matrix model of a non-Hermitian β-ensemble
We introduce the first random matrix model of a complex [Formula: see text]-ensemble. The matrices are tridiagonal and can be thought of as the non-Hermitian analogue of the Hermite [Formula: see text]-ensembles discovered by [I. Dumitriu and A. Edelman, Matrix models for beta ensembles, J. Math. Phys. 43 (2002) 5830–5847].
Francesco Mezzadri, Henry Taylor
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Matrix‐less methods for the spectral approximation of large non‐Hermitian Toeplitz matrices: A concise theoretical analysis and a numerical study [PDF]
Manuel Bogoya +3 more
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On the singular sector of the Hermitian random matrix model in the large N limit [PDF]
B. G. Konopelchenko +2 more
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Rigorous Asymptotic Perturbation Bounds for Hermitian Matrix Eigendecompositions
In this paper, we present rigorous asymptotic componentwise perturbation bounds for regular Hermitian indefinite matrix eigendecompositions, obtained via the method of splitting operators.
Mihail Konstantinov +1 more
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Minimum trace norm of real symmetric and Hermitian matrices with zero diagonal
We establish tight lower bounds for the trace norm (‖⋅‖1)\left(\Vert \cdot {\Vert }_{1}) of real symmetric and Hermitian matrices with zero diagonal entries in terms of their entrywise L1{L}^{1}-norms (‖⋅‖(1))\left(\Vert \cdot {\Vert }_{\left(1)}).
Einollahzadeh Mostafa +1 more
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An application of E. H. Moore’s determinant of a hermitian matrix [PDF]
Nathan Jacobson
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LargeNexpansions and Painlevé hierarchies in the Hermitian matrix model [PDF]
Gabriel Álvarez +2 more
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Topological expansion for the 1-hermitian matrix model correlation functions. [PDF]
Bertrand Eynard
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Linearizations of Hermitian Matrix Polynomials Preserving the Sign Characteristic
María Isabel Bueno Cachadina +2 more
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