Results 31 to 40 of about 5,577 (256)

Hardware Acceleration of Large-Scale CMOS Invertible Logic Based on Sparse Hamiltonian Matrices

open access: yesIEEE Open Journal of Circuits and Systems, 2021
Invertible logic has been recently presented that can realize bidirectional computing based on Hamiltonians for solving several critical issues, such as integer factorization and training neural networks.
Naoya Onizawa   +2 more
doaj   +1 more source

A right Bezout ring with stable range 2, over which transpose matrix to invertible matrix is invertible, is the right Hermite ring (in Ukrainian) [PDF]

open access: yesМатематичні Студії, 2011
It is proved that a right Bezout ring with stable range 2, over which transpose matrix to invertible matrix is invertible matrix, is the right Hermite ring.
I. V. Domsha
doaj  

The Hadamard Product of a Nonsingular General H-Matrix and Its Inverse Transpose Is Diagonally Dominant

open access: yesJournal of Applied Mathematics, 2015
We study the combined matrix of a nonsingular H-matrix. These matrices can belong to two different H-matrices classes: the most common, invertible class, and one particular class named mixed class.
Rafael Bru   +3 more
doaj   +1 more source

Boundary value matrix problems and Drazin invertible operators

open access: yesМатематичні Студії, 2022
Let $A$ and $B$ be given linear operators on Banach spaces $X$ and $Y$, we denote by $M_C$ the operator defined on $X \oplus Y$ by $M_{C}= \begin{pmatrix} A & C \\ 0 & B% \end{pmatrix}.$ In this paper, we study an abstract boundary value matrix problems
K. Miloud Hocine
doaj   +1 more source

Extension problem to an invertible matrix [PDF]

open access: yesProceedings of the American Mathematical Society, 1993
For a complex commutative Banach algebra \(\mathcal A\) with unit let \({\mathcal A}_{nk}\) denote the set of \(n\times k\) matrices over \(\mathcal A\).
openaire   +1 more source

Technical note: Finite element formulations to map discrete fracture elements in three-dimensional groundwater models [PDF]

open access: yesHydrology and Earth System Sciences
Typically, in finite element groundwater models, fractures are represented by two-dimensional triangular or quadrilateral elements. When embedded in a three-dimensional space, the Jacobian matrix governing the transformation from the global three ...
R. de Rooij
doaj   +1 more source

Properties of Invertible Solutions of the Yang–Baxter-like Matrix Equation for Nonzero Singular Matrix

open access: yesMathematics
Assuming the coefficient matrix is a nonzero singular matrix, we demonstrate that the invertible solutions of the Yang–Baxter-like matrix equation must possess at least two elementary divisors.
Xianghui Wen   +3 more
doaj   +1 more source

On the separation of eigenvalues by the permutation group

open access: yesSpecial Matrices, 2014
Let A be an invertible 3 × 3 complex matrix. It is shown that there is a 3 × 3 permutation matrix P such that the product PA has at least two distinct eigenvalues.
Cigler Grega, Jerman Marjan
doaj   +1 more source

Efficient recursion method for inverting an overlap matrix [PDF]

open access: yesPhysical Review B, 2001
A new O(N) algorithm based on a recursion method, in which the computational effort is proportional to the number of atoms N, is presented for calculating the inverse of an overlap matrix which is needed in electronic structure calculations with the the non-orthogonal localized basis set. This efficient inverting method can be incorporated in several O(
openaire   +2 more sources

Degree-inverting involutions on matrix algebras [PDF]

open access: yesLinear and Multilinear Algebra, 2017
Let $F$ be an algebraically closed field of characteristic zero, and $G$ be a finite abelian group. If $A=\oplus_{g\in G} A_g$ is a $G$-graded algebra, we study degree-inverting involutions on $A$, i.e., involutions $*$ on $A$ satisfying $(A_g)^*\subseteq A_{g^{-1}}$, for all $g\in G$.
Luís Felipe Gonçalves Fonseca   +1 more
openaire   +3 more sources

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