Zobrazeno 1 - 10
of 111
pro vyhledávání: '"39b42"'
Autor:
Drnovšek, Roman
Publikováno v:
Linear and Multilinear Algebra, 2024, 1--6
Let $T$ be an operator on Banach space $X$ that is similar to $- T$ via an involution $U$. Then $U$ decomposes the Banach space $X$ as $X = X_1 \oplus X_2$ with respect to which decomposition we have $U = \left(\begin{matrix} I_1 & 0 \\ 0 & -I_2 \end
Externí odkaz:
http://arxiv.org/abs/2311.16724
This article provides the first mathematical analysis of the Density Matrix Embedding Theory (DMET) method. We prove that, under certain assumptions, (i) the exact ground-state density matrix is a fixed-point of the DMET map for non-interacting syste
Externí odkaz:
http://arxiv.org/abs/2305.16472
We study solutions and approximate solutions of the multiplicative Sincov equation $$T(f, h) = T(f, g)T(g, h)$$ for mapping $T$ taking values in a commutative Banach algebra.
Comment: arXiv admin note: text overlap with arXiv:1906.01928
Comment: arXiv admin note: text overlap with arXiv:1906.01928
Externí odkaz:
http://arxiv.org/abs/2303.03783
Publikováno v:
Approved for publication in Communications in Mathematical Physics (2024)
One of the features of Baxter's Q-operators for many closed spin chain models is that all transfer matrices arise as products of two Q-operators with shifts in the spectral parameter. In the representation-theoretical approach to Q-operators, underly
Externí odkaz:
http://arxiv.org/abs/2301.03997
Autor:
Atakishiyev, Natig
A systematic analytic approach to the evaluation of the eigenvalues and eigenvectors of the 5D discrete number operator is formulated. This approach is essentially based on the use of the symmetricity of 5D discrete Fourier transform operator with re
Externí odkaz:
http://arxiv.org/abs/2210.01990
Autor:
Fan, Hung-Yuan, Chiang, Chun-Yueh
In this paper we consider a class of conjugate discrete-time Riccati equations, arising originally from the linear quadratic regulation problem for discrete-time antilinear systems. Under some mild assumptions and the framework of the fixed-point ite
Externí odkaz:
http://arxiv.org/abs/2205.14423
Autor:
Chiang, Chun-Yueh, Fan, Hung-Yuan
Algebraic Riccati equations (AREs) have been extensively applicable in linear optimal control problems and many efficient numerical methods were developed. The most attention of numerical solutions is the (almost) stabilizing solution in the past wor
Externí odkaz:
http://arxiv.org/abs/2111.08923
Autor:
Bremner, Murray R., Elgendy, Hader A.
We introduce a new approach to the classification of operator identities, based on basic concepts from the theory of algebraic operads together with computational commutative algebra applied to determinantal ideals of matrices over polynomial rings.
Externí odkaz:
http://arxiv.org/abs/2109.04391
Autor:
Bertram, Christian, Faßbender, Heike
The approximate solution of large-scale algebraic Riccati equations is considered. We are interested in approximate solutions which yield a Riccati residual matrix of a particular small rank. It is assumed that such approximate solutions can be writt
Externí odkaz:
http://arxiv.org/abs/2004.11212
Autor:
Benner, Peter, Palitta, Davide
The nonsymmetric T-Riccati equation is a quadratic matrix equation where the linear part corresponds to the so-called T-Sylvester or T-Lyapunov operator that has previously been studied in the literature. It has applications in macroeconomics and pol
Externí odkaz:
http://arxiv.org/abs/2003.03693