Results 31 to 40 of about 96 (95)
Soluciones explícitas de ecuaciones diferenciales matriciales con coeficientes variables
, 2009 La resolución de sistemas de ecuaciones diferenciales de orden superior suele apoyarse en la consideración de un sistema ampliado de primer orden. Este enfoque clásico presenta dos inconvenientes.
Company Rossi, Rafael
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Permutation matrices and matrix equivalence over a finite field
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 3, Page 503-512, 1981., 1980 Let F = GF(q) denote the finite field of order q and Fm×n the ring of m × n matrices over F. Let 𝒫n be the set of all permutation matrices of order n over F so that 𝒫n is ismorphic to Sn. If Ω is a subgroup of 𝒫n and A, BϵFm×n then A is equivalent to B relative to Ω if there exists Pϵ𝒫n such that AP = B.
Gary L. Mullen
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A preconditioned AOR iterative scheme for systems of linear equations with L-matrics
Open Mathematics, 2019 In this paper we investigate theoretically and numerically the new preconditioned method to accelerate over-relaxation (AOR) and succesive over-relaxation (SOR) schemes, which are used to the large sparse linear systems.
Wang Hongjuan
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Self-similarity on 4d cubic lattice [PDF]
Open Communications in Nonlinear Mathematical PhysicsA phenomenon of "algebraic self-similarity" on 3d cubic lattice, providing what can be called an algebraic analogue of Kadanoff--Wilson theory, is shown to possess a 4d version as well. Namely, if there is a $4\times 4$ matrix $A$ whose entries
Igor G. Korepanov
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Cayley-Hamilton theorem for matrices over an arbitrary ring [PDF]
, 2006 2000 Mathematics Subject Classification: 15A15, 15A24, 15A33, 16S50.For an n×n matrix A over an arbitrary unitary ring R, we obtain the following Cayley-Hamilton identity with right matrix coefficients: (λ0I+C0)+A(λ1I+C1)+… +An-1(λn-1I+Cn-1)+An (n!I+Cn) =
Szigeti, Jenő
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Equivalence classes of matrices over a finite field
International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 3, Page 487-491, 1979., 1979 Let Fq = GF(q) denote the finite field of order q and F(m, q) the ring of m × m matrices over Fq. Let Ω be a group of permutations of Fq. If A, BϵF(m, q) then A is equivalent to B relative to Ω if there exists ϕϵΩ such that ϕ(A) = B where ϕ(A) is computed by substitution. Formulas are given for the number of equivalence classes of a given order and for
Gary L. Mullen
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On relationships between two linear subspaces and two orthogonal projectors
Special Matrices, 2019 Sum and intersection of linear subspaces in a vector space over a field are fundamental operations in linear algebra. The purpose of this survey paper is to give a comprehensive approach to the sums and intersections of two linear subspaces and their ...
Tian Yongge
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Special MatricesThis paper provides a complete characterization of the real matrices A for which the equation p(X) = A has a real solution X∈Mn(R) $X\in {M}_{n}\left(\mathbb{R}\right)$ for every nonconstant polynomial p∈R[x] $p\in \mathbb{R}\left[x\right]$ .
Zhu Chengyi
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Consimilarity and quaternion matrix equations AX −^X B = C, X − A^X B = C
Special Matrices, 2014 L. Huang [Consimilarity of quaternion matrices and complex matrices, Linear Algebra Appl. 331(2001) 21–30] gave a canonical form of a quaternion matrix with respect to consimilarity transformationsA ↦ ˜S−1AS in which S is a nonsingular quaternion matrix ...
Klimchuk Tatiana, Sergeichuk Vladimir V.
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, 2020 Recent results on the convergence of a Galerkin projection method for the Sylvester equation are extended to more general linear systems with tensor product structure.
Christine Tobler +2 more
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