Results 11 to 20 of about 1,236 (297)
A note on the resolvent of a nonnegative matrix and its applications [PDF]
Linear Algebra and its Applications, 2010 The main result of this paper is the following. Let \(X' = (x'_{ij} )\) be a nonnegative matrix obtained from \(X = (x_{ij} )\) by decreasing a single entry \(x_{hk}\). Then for all indices \(i,j\) and for all \(t\) in \([0,1/\max (r_X ,r_{X'} ))\), where \(r_X ,r_{X'}\) are the spectral radii of \(X\) and respectively \(X'\), the entries of \(Y = (I -
Sahi, Siddhartha
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On Laplacian resolvent energy of graphs [PDF]
Transactions on Combinatorics, 2023 Let $G$ be a simple connected graph of order $n$ and size $m$. The matrix $L(G)=D(G)-A(G)$ is the Laplacian matrix of $G$, where $D(G)$ and $A(G)$ are the degree diagonal matrix and the adjacency matrix, respectively. For the graph $G$, let $d_{1}\geq d_{
Sandeep Bhatnagar +2 more
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On two resolvent matrices of the truncated Hausdorff matrix moment problem
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022 We consider the truncated Hausdorff matrix moment problem (THMM) in case of a finite number of even moments to be called non degenerate if two block Hankel matrices constructed via the moments are both positive definite matrices.
A. E. Choque-Rivero +1 more
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On the resolvent condition in the Kreiss Matrix Theorem [PDF]
BIT, 1984 Let \(A\) be an \(N\times N\) matrix. Let \(p(A)=\sup_{n\geq 0}\| A^ n\|\) and \(r(A)=\sup_{| z| >1}(| z| -1)\| (zI- A)^{-1}\|\), where \(\| \cdot \|\) is the Euclidean norm. If \(p(A)
LeVeque, Randall J., Trefethen, Lloyd N.
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Mathematics, 2023 We consider an initial problem (IP) for a linear neutral system with distributed delays and derivatives in Caputo’s sense of incommensurate order, with different kinds of initial functions.
Ekaterina Madamlieva +2 more
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On the S-matrix of Schrödinger operator with nonlocal δ-interaction [PDF]
Opuscula Mathematica, 2021 Schrödinger operators with nonlocal \(\delta\)-interaction are studied with the use of the Lax-Phillips scattering theory methods. The condition of applicability of the Lax-Phillips approach in terms of non-cyclic functions is established.
Anna Główczyk, Sergiusz Kużel
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Linear differential equations for the resolvents of the classical matrix ensembles [PDF]
Random Matrices: Theory and Applications, 2020 The spectral density for random matrix [Formula: see text] ensembles can be written in terms of the average of the absolute value of the characteristic polynomial raised to the power of [Formula: see text], which for even [Formula: see text] is a polynomial of degree [Formula: see text].
Anas A. Rahman, Peter J. Forrester
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Sketch-Based Resolvent Analysis [PDF]
, 2022 A significant hurdle in the adoption of resolvent analysis is the singular value decomposition (SVD) of the large linear operators involved. A matrix sketching algorithm is used to extract the primary forcing and response modes, with their associated ...
House, D +4 more
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On a generalization of the resolvent condition in the Kreiss matrix theorem [PDF]
Mathematics of Computation, 1991 This paper deals with a condition on the resolvent of s x s matrices A . In one of the equivalent assertions of the Kreiss matrix theorem, the spectral norm of the resolvent of A at 4 must satisfy an inequality for all 4 lying outside the unit disk in C.
H. W. J. Lenferink, M. N. Spijker
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Resolvent analysis of a finite wing in transonic flow
Flow, 2023 Shock waves interacting with turbulent boundary layers on wings can result first in self-sustained flow unsteadiness and eventually in structural vibration.
Jelle Houtman +2 more
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