Results 41 to 50 of about 83,251 (167)
Determinants of block matrices with noncommuting blocks
Linear Algebra and its Applications, 2017 15 pages, no ...
openaire +2 more sources
eXPRESS Polymer Letters, 2011 A comparative study on the self-assembled nanostructured morphology and the rheological and mechanical properties of four different triblock copolymers, based on poly(styrene-block-diene-block-styrene) and poly(styrene-block-diene-block-styrene) matrices,
doaj +1 more source
A block bidiangonal form for block companion matrices
Linear Algebra and its Applications, 1986 Let \(L_ k(\lambda)=\lambda^ kI+\sum^{k-1}_{j=0}\lambda^ jA_ j\) be a matrix polynomial (so \(A_ 0,...,A_{k-1}\) are \(n\times n\) matrices with complex entries) with the companion matrix \[ C_ k = \left[\begin{matrix} 0&1&0&...&0 \\ 0&0&1&...&0 \\ \vdots&\vdots&\vdots&&\vdots \\ 0&0&0&...&1 \\ -A_ 0&-A1_ 1&&...&-A_{k-1} \end{matrix} \right].
Hernández, Vicente G. +1 more
openaire +2 more sources
Inequalities for partial determinants of accretive block matrices
Journal of Inequalities and Applications, 2023 Let A = [ A i , j ] i , j = 1 m ∈ M m ( M n ) $A=[A_{i,j}]^{m}_{i,j=1}\in \mathbf{M}_{m}(\mathbf{M}_{n})$ be an accretive block matrix. We write det1 and det2 for the first and second partial determinants, respectively.
Xiaohui Fu +2 more
doaj +1 more source
Block companion matrices, discrete-time block diagonal stability and polynomial matrices [PDF]
Operators and Matrices, 2009 A polynomial matrix G(z )= Iz m −∑ m−1 i=0 Ciz i with complex coefficients is called discrete-time stable if its characteristic values (i.e. the zeros of detG(z)) are in the unit disc. A corresponding block companion matrix C is used to study discrete-time stability of G(z).
openaire +1 more source
Factoring Block Fiedler Companion Matrices
, 2019 When Fiedler published his "A note on Companion matrices" in 2003 in Linear Algebra and its Applications, he could not have foreseen the significance of this elegant factorization of a companion matrix into essentially two-by-two Gaussian transformations, which we will name \emph{(scalar) elementary Fiedler factors}.
G. M. Del Corso +3 more
openaire +2 more sources
Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices
Abstract and Applied Analysis, 2015 Circulant, block circulant-type matrices and operator norms have become effective tools in solving networked systems. In this paper, the block imaginary circulant operator matrices are discussed.
Xiaoyu Jiang, Kicheon Hong
doaj +1 more source
IEEE Access, 2019 Semi-tensor product of matrices (STP of matrices) is a new matrix product and has been successfully applied to many fields, especially to logical dynamic systems.
Jumei Yue, Yongyi Yan
doaj +1 more source
Mathematical and Computational Applications, 2019 In nuclear engineering, the λ -modes associated with the neutron diffusion equation are applied to study the criticality of reactors and to develop modal methods for the transient analysis. The differential eigenvalue problem that needs to be
Amanda Carreño +5 more
doaj +1 more source
Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows
Special Matrices, 2019 In this paper, four-band Toeplitz matrices and four-band Hankel matrices of type I and type II with perturbed rows are introduced. Explicit determinants, inverses and eigenvalues for these matrices are derived by using a nice inverse formula of block ...
Zhang Maoyun +2 more
doaj +1 more source