Real symmetric $$ \Phi ^4$$ Φ 4 -matrix model as Calogero–Moser model
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DOI: 10.1007/s11005-024-01772-5
Abstract: We study a real symmetric $$\Phi ^4$$ Φ 4 -matrix model whose kinetic term is given by $$\textrm{Tr}( E \Phi ^2)$$ Tr ( E Φ 2 ) , where E is a positive diagonal matrix… read more here.
Keywords: symmetric phi; real symmetric; model; matrix model ... See more keywords
Real symmetric matrices with partitioned eigenvalues
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DOI: 10.1016/j.laa.2021.10.016
Abstract: We study the real algebraic variety of real symmetric matrices with eigenvalue multiplicities determined by a partition. We present formulas for the dimension and Euclidean Distance Degree. We use representation theory to provide a rational… read more here.
Keywords: partitioned eigenvalues; real symmetric; symmetric matrices; matrices partitioned ... See more keywords
Verified Error Bounds for Real Eigenvalues of Real Symmetric and Persymmetric Matrices
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DOI: 10.1155/2020/9240852
Abstract: This paper mainly investigates the verification of real eigenvalues of the real symmetric and persymmetric matrices. For a real symmetric or persymmetric matrix, we use eig code in Matlab to obtain its real eigenvalues on… read more here.
Keywords: real symmetric; eigenvalues real; real eigenvalues; error ... See more keywords
Parametric Inner Bounds for the Extreme Eigenvalues of Real Symmetric Matrices
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DOI: 10.3390/sym17122031
Abstract: Here, inner bounds for the extreme eigenvalues of a real symmetric matrix are derived by using a two-dimensional subspace of Rn. The addition of a single parameter to the basis vectors and optimization thereof results… read more here.
Keywords: parametric inner; extreme eigenvalues; eigenvalues real; bounds extreme ... See more keywords