Results 21 to 30 of about 3,570,033 (364)
Using Parametric Functions to Solve Systems of Linear Fuzzy Equations with a Symmetric Matrix [PDF]
International Journal of Computational Intelligence Systems, 2008 A method to solve linear fuzzy equations with a symmetric matrix is proposed. Ignoring the symmetry leads to an overestimation of the solution. Our method to find the solution of a system of linear fuzzy equations takes the symmetry of the matrix into ...
Annelies Vroman +2 more
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On symmetrizers in quantum matrix algebras
Russian Mathematical Surveys, 2023 In this note we are dealing with a particular class of quadratic algebras -- the so-called quantum matrix algebras. The well-known examples are the algebras of quantized functions on classical Lie groups (the RTT algebras). We consider the problem of constructing some projectors on homogenous components of such algebras, which are analogs of the usual ...
Gurevich, Dmitry +2 more
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Symmetry adapted Assur decompositions [PDF]
, 2014 Assur graphs are a tool originally developed by mechanical engineers to decompose mechanisms for simpler analysis and synthesis. Recent work has connected these graphs to strongly directed graphs, and decompositions of the pinned rigidity matrix.
Nixon, Anthony +3 more
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Combinatorial properties of the enhanced principal rank characteristic sequence over finite fields
Special Matrices, 2021 The enhanced principal rank characteristic sequence (epr-sequence) of a symmetric matrix B ∈ 𝔽n×n is defined as ℓ1ℓ2· · · ℓn, where ℓj ∈ {A, S, N} according to whether all, some but not all, or none of the principal minors of order j of B are nonzero ...
Dukes Peter J., Martínez-Rivera Xavier
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Universal K-matrix for quantum symmetric pairs [PDF]
Journal für die Reine und Angewandte Mathematik, 2015 Let {{\mathfrak{g}}} be a symmetrizable Kac–Moody algebra and let
M. Balagovic, S. Kolb
semanticscholar +1 more source
The symmetric linear matrix equation [PDF]
The Electronic Journal of Linear Algebra, 2002 The authors study solutions to the equations \[ X \pm (A_1^*XA_1 +\ldots + A_m^*XA_m) =Q \] which occur in the Newton method applied to algebraic Riccati equations. Conditions are found for these equations to have unique solutions, and an explicit formula is given in the case when there is a unique positive definite solution.
Martine C.B. Reurings, André C. M. Ran
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On the permanent of a random symmetric matrix [PDF]
Selecta Mathematica, 2021 Let $M_{n}$ denote a random symmetric $n\times n$ matrix, whose entries on and above the diagonal are i.i.d. Rademacher random variables (taking values $\pm 1$ with probability $1/2$ each). Resolving a conjecture of Vu, we prove that the permanent of $M_{n}$ has magnitude $n^{n/2+o(n)}$ with probability $1-o(1)$. Our result can also be extended to more
Kwan, Matthew, Sauermann, Lisa
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Matrix polynomials orthogonal with respect to a non-symmetric matrix of measures [PDF]
Opuscula Mathematica, 2016 The paper focuses on matrix-valued polynomials satisfying a three-term recurrence relation with constant matrix coefficients. It is shown that they form an orthogonal system with respect to a matrix of measures, not necessarily symmetric. Moreover, it is
Marcin J. Zygmunt
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Efficient and Non-Convex Coordinate Descent for Symmetric Nonnegative Matrix Factorization [PDF]
IEEE Transactions on Signal Processing, 2015 Given a symmetric nonnegative matrix A, symmetric nonnegative matrix factorization (symNMF) is the problem of finding a nonnegative matrix H, usually with much fewer columns than A, such that A ≈ HHT.
A. Vandaele +4 more
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A matrix pair of an almost diagonal skew-symmetric matrix and a symmetric positive definite matrix
Linear Algebra and its Applications, 1993 Let A be skew-symmetric, B be symmetric positive definite, and the pair (A, B) have multiple eigenvalues. If A is close to Murnaghan form and B is close to diagonal form, then certain principal submatrices of A and B are specially related. In this paper we describe this relationship and quantify it under the usual asymptotic conditions.
Vjeran Hari, Noah H. Rhee
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