نتایج جستجو برای: skew hermitian
تعداد نتایج: 17555 فیلتر نتایج به سال:
The Hermitian and skew-Hermitian parts of a square matrix A are deened by H(A) (A + A)=2 and S(A) (A ? A)=2: We show that the function f(A) = (H(A ?1)) ?1 is convex with respect to the Loewner partial order on the cone of matrices with positive deenite Hermitian part. That is, for any matrices A and B with positive deenite Hermitian part ff(A) + f(B)g=2 ? f(fA + Bg=2) is positive semideenite: U...
We generalize the construction of linear codes via skew polynomial rings by using Galois rings instead of finite fields as coefficients. The resulting non commutative rings are no longer left and right Euclidean. Codes that are principal ideals in quotient rings of skew polynomial rings by a two sided ideals are studied. As an application, skew constacyclic self-dual codes over GR(4) are constr...
The enhanced principal rank characteristic sequence (epr-sequence) of an n×n matrix is a sequence `1`2 · · ·`n, where each `k is A, S, or N according as all, some, or none of its principal minors of order k are nonzero. There has been substantial work on epr-sequences of symmetric matrices (especially real symmetric matrices) and real skew-symmetric matrices, and incidental remarks have been ma...
In a recent paper, an algorithm that produces dampening controllers based on a periodic Hamiltonian was proposed. Central to this algorithm is the formulation of symmetric and skew-symmetric damped algebraic Riccati equations. It was shown that solutions to these two Riccati equations lead to a dampening feedback, i.e., a stable closed–loop system for which the real parts of the eigenvalues are...
In this paper we generalize the known De Smet, Dillen, Verstraelen and Vrancken (DDVV)-type inequalities for real (skew-)symmetric complex (skew-)Hermitian matrices to arbitrary real, quaternionic matrices. Inspired by ErdÅs-Mordell inequality, establish DDVV-type in subspaces spanned a Clifford system or algebra. We also Böttcher-Wenzel inequality
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