A study of resolvent set for a class of band operators with matrix elements [PDF]
Concrete Operators, 2016 For operators generated by a certain class of infinite three-diagonal matrices with matrix elements we establish a characterization of the resolvent set in terms of polynomial solutions of the underlying second order finite-difference equations.
Osipov Andrey
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On Taylor’s formula for the resolvent of a complex matrix [PDF]
Computers and Mathematics With Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
He, Matthew, Ricci, Paolo E.
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Matrix Resolvent and the Discrete KdV Hierarchy [PDF]
Communications in Mathematical Physics, 2020 It was added a remark after Theorem 1; added Appendix A; added references; two statements moved to Introduction; corrected typos.
Dubrovin, B., Yang, D.
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About the Resolvent Kernel of Neutral Linear Fractional System with Distributed Delays [PDF]
Mathematics, 2022 The present work considers the initial problem (IP) for a linear neutral system with derivatives in Caputo’s sense of incommensurate order, distributed delay and various kinds of initial functions.
Hristo Kiskinov +2 more
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Tau-functions for the Ablowitz–Ladik hierarchy: the matrix-resolvent method [PDF]
Journal of Physics A: Mathematical and Theoretical, 2022 Abstract We extend the matrix-resolvent method for computing logarithmic derivatives of tau-functions to the Ablowitz–Ladik hierarchy. In particular, we derive a formula for the generating series of the logarithmic derivatives of an arbitrary tau-function in terms of matrix resolvents.
Mattia Cafasso, Di Yang
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Semiclassical Resonances via Meromorphy of the Resolvent and the S-Matrix [PDF]
International Journal of Analysis and Applications, 2020 The purpose of this paper is to describe the basic problems of resonances via meromorphic continuation of the resolvent and the scattering matrix. An example from mathematical physics is given by investigating the poles of the resolvent of semiclassical ...
Soumia Belmouhoub +2 more
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A Multiplicative Representation of the Resolvent Matrix of the Truncated Hausdorff Matrix Moment Problem via New Dyukarev-Stieltjes Parameters. [PDF]
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2017 A new multiplicative decomposition of the resolvent matrix of the truncated Hausdorff matrix moment (THMM) problem in the case of an odd and even number of moments via new Dyukarev-Stieltjes matrix (DSM) parameters is attained.
Abdon E. Choque-Rivero
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Norm estimates of the Fourier series coefficients of the matrix resolvent [PDF]
Applied Mathematics Letters, 2005 The resolvent over the unit circle of a martix \(A\in {\mathbb C}^{n\times n}\) can be decomposed in a general form of a Fourier series. This note shows that the Fourier coefficients \((Z_k)_{k\in {\mathbb Z}}\) decrease to zero with a rate depending essentially on the norm of the solution of the descrete-time Lyapunov equation applied to~\(A ...
Sadkane, M.
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Distribution of the diagonal entries of the resolvent of a complex Ginibre matrix [PDF]
Journal of Physics A: Mathematical and TheoreticalAbstract The study of eigenvalue distributions in random matrix theory is often conducted by analyzing the resolvent matrix G
P Bousseyroux, J-P Bouchaud, M Potters
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Fundamental Matrix, Measure Resolvent Kernel and Stability Properties of Fractional Linear Delayed System with Discontinuous Initial Conditions [PDF]
MathematicsIn the present work, a Cauchy (initial) problem for a fractional linear system with distributed delays and Caputo-type derivatives of incommensurate order is considered.
Hristo Kiskinov +3 more
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