Results 21 to 30 of about 931 (215)
On Cauchy problem for Euler–Poisson–Darboux system with nilpotent matrix coefficient
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 The solution of Cauchy problem for the system of Euler–Poisson–Darboux equations with nilpotent matrix coefficient of power m is obtained by the Riemann method. The Hadamard well-posedness theorem for the Cauchy problem solution is formulated.
E. A. Maksimova
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On m-th roots of nilpotent matrices [PDF]
, 2021 A new necessary and sufficient condition for the existence of an m-th root of a nilpotent matrix in terms of the multiplicities of Jordan blocks is obtained and expressed as a system of linear equations with nonnegative integer entries which is suitable ...
Öztürk, Semra
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Performance assessment of MIMO systems under partial information [PDF]
, 2004 Minimum variance (MV) can characterize the most fundamental performance limitation of a system, owing to the existence of time-delays/infinite zeros. It has been widely used as a benchmark to assess the regulatory performance of control loops. For a SISO
Grimble, M.J. +8 more
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Free products of cyclic groups in groups of infinite unitriangular matrices
Математичні Студії, 2023 Groups of infinite unitriangular matrices over associative unitary rings are considered. These groups naturally act on infinite dimensional free modules over underlying rings. They are profinite in case underlying rings are finite.
A. Oliynyk
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On potentially nilpotent double star sign patterns [PDF]
, 2009 summary:A matrix $\Cal A$ whose entries come from the set $\{+,-,0\}$ is called a {\it sign pattern matrix}, or {\it sign pattern}. A sign pattern is said to be potentially nilpotent if it has a nilpotent realization.
Li, Honghai, Li, Jiongsheng
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On Cohomology Groups of Four-Dimensional Nilpotent Associative Algebras
مجلة بغداد للعلوم, 2022 The study of cohomology groups is one of the most intensive and exciting researches that arises from algebraic topology. Particularly, the dimension of cohomology groups is a highly useful invariant which plays a rigorous role in the geometric ...
N. F. Mohammed +2 more
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Singular matrices that are products of two idempotents or products of two nilpotents
Special Matrices, 2021 Over commutative domains we characterize the singular 2 × 2 matrices which are products of two idempotents or products of two nilpotents. The relevant casees are the matrices with zero second row and the singular matrices with only nonzero entries.
Călugăreanu Grigore
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Axioms, 2023 In this paper we consider examples of complex expansion (cKdV) and perturbation (pKdV) of the Korteweg–de Vries equation (KdV) and show that these equations have a representation in the form of the zero-curvature equation.
Tatyana V. Redkina +2 more
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Commuting Solutions of a Quadratic Matrix Equation for Nilpotent Matrices [PDF]
, 2018 We solve the quadratic matrix equation AXA = XAX with a given nilpotent matrix A, to find all commuting solutions. We first provide a key lemma, and consider the special case that A has only one Jordan block to motivate the idea for the general case ...
Qixiang Dong, Jiu Ding, Qianglian Huang
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Quiver theories and formulae for Slodowy slices of classical algebras
Nuclear Physics B, 2019 We utilise SUSY quiver gauge theories to compute properties of Slodowy slices; these are spaces transverse to the nilpotent orbits of a Lie algebra g.
Santiago Cabrera +2 more
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