The Kalman-Yakubovich-Popov lemma in a behavioural framework [PDF]
, 1997 The classical Kalman-Yakubovich-Popov Lemma provides a link between dissipativity of a system in state-space form and the solution to a linear matrix inequality.
Geest, Robert van der, Trentelman, Harry
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On generalized matrix approximation problem in the spectral norm
Linear Algebra and its Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sou, Kin Cheong, Rantzer, Anders
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Global inverse spectral problems for rational matrix functions
Linear Algebra and its Applications, 1987 Let Y be a Hilbert space, \(\dim Y ...
Ball, Joseph A., Ran, AndréC.M.
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GL(3)-Based Quantum Integrable Composite Models. II. Form Factors of Local Operators [PDF]
, 2015 We study integrable models solvable by the nested algebraic Bethe ansatz and possessing the GL(3)-invariant R-matrix. We consider a composite model where the total monodromy matrix of the model is presented as a product of two partial monodromy matrices.
Pakuliak, Stanislav +2 more
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Global solvability of the inverse spectral problem for differential systems on a finite interval [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаThe inverse spectral problem is studied for non-selfadjoint systems of ordinary differential equations on a finite interval. We provide necessary and sufficient conditions for the global solvability of the inverse problem, along with an algorithm for ...
Yurko, Vjacheslav Anatol'evich
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Quadratic Growth Conditions for Convex Matrix Optimization Problems Associated with Spectral Functions [PDF]
SIAM Journal on Optimization, 2017 In this paper, we provide two types of sufficient conditions for ensuring the quadratic growth conditions of a class of constrained convex symmetric and non-symmetric matrix optimization problems regularized by nonsmooth spectral functions. These sufficient conditions are derived via the study of the $\mathcal{C}^2$-cone reducibility of spectral ...
Cui, Ying, Ding, Chao, Zhao, Xinyuan
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On a Discrete Inverse Problem for Two Spectra
Discrete Dynamics in Nature and Society, 2012 A version of the inverse spectral problem for two spectra of finite-order real Jacobi matrices (tridiagonal symmetric matrices) is investigated. The problem is to reconstruct the matrix using two sets of eigenvalues: one for the original Jacobi matrix ...
Gusein Sh. Guseinov
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Higher-Order Matrix Spectral Problems and Their Integrable Hamiltonian Hierarchies
Mathematics, 2023 Starting from a kind of higher-order matrix spectral problems, we generate integrable Hamiltonian hierarchies through the zero-curvature formulation. To guarantee the Liouville integrability of the obtained hierarchies, the trace identity is used to establish their Hamiltonian structures. Illuminating examples of coupled nonlinear Schrödinger equations
Shou-Ting Chen, Wen-Xiu Ma
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An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line
, 2014 The matrix Sturm-Liouville operator with an integrable potential on the half-line is considered. We study the inverse spectral problem, which consists in recovering of this operator by the Weyl matrix.
Bondarenko, Natalia
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Partitions of networks that are robust to vertex permutation dynamics
Special Matrices, 2015 Minimum disconnecting cuts of connected graphs provide fundamental information about the connectivity structure of the graph. Spectral methods are well-known as stable and efficient means of finding good solutions to the balanced minimum cut problem.
Froyland Gary, Kwok Eric
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