Results 81 to 90 of about 2,351,945 (200)

On a generalised inverse of a matrix and applications

, 1968
As a sequel to Rao (1967) this paper develops further the concept of generalised inverse (g-inverse) of a matrix. The class of g-inverses with the reflexive property is characterised.
Mitra, Sujit Kumar
core   +1 more source

Generating Self-Invertible Matrices by Hill Cipher Algorithm In Gaussian Integers

Academic Science Journal
In this paper, the Creating self-reflexive matrices for the Hill Cipher algorithm in Gaussian integers is discussed. It's not always possible to find the inverse of the matrix that was used to encrypt the plaintext.
Ayat A. Jafaar, Rifaat Z. Khalaf
doaj   +1 more source

Differentiation of matrix functionals using triangular factorization [PDF]

, 2011
In various applications, it is necessary to differentiate a matrix functional w(A(x)), where A(x) is a matrix depending on a parameter vector x. Usually, the functional itself can be readily computed from a triangular factorization of A(x).
Anderssen, R.S., de Hoog, F.R., Lukas, M.A.   +2 more
core  

The k-Tribonacci Matrix and the Pascal Matrix

Jambura Journal of Mathematics
This article discusses the relationship between the k-Tribonacci matrix Tn(k) and the Pascal matrix Pn, by first constructing the k-Tribonacci matrix and then looking for its inverse.
Sri Gemawati, Musraini Musraini, Mirfaturiqa Mirfaturiqa   +2 more
doaj   +1 more source

Estimation of the signal subspace without estimation of the inverse covariance matrix [PDF]

Let a high-dimensional random vector X can be represented as a sum of two components - a signal S, which belongs to some low-dimensional subspace S, and a noise component N.
Vladimir Panov
core  

Combining closed-form and numerical solutions for the inverse kinematics of six-degrees-of-freedom collaborative handling robot

International Journal of Advanced Robotic Systems
In the process of solving the inverse kinematics of six-degrees-of-freedom collaborative robots, the numerical solution has problems such as low accuracy and singular configurations.
Ya Chen, Zhiguo Cui, Xiao Wang, Dianjun Wang, Zilong Wang, Zhihu Song, Dinghe Liu   +6 more
doaj   +1 more source

Inverse of the Vandermonde and Vandermonde confluent matrices [PDF]

, 2011
The inverse of the Vandermonde and confluent Vandermonde matrices are presented. In the case of the Vandermonde matrix, we present a decomposition in three factors, one of them a diagonal matrix.
FRANCISCO SOTO EGUIBAR, Héctor Manuel Moya Cessa   +1 more
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On Drazin inverse of singular Toeplitz matrix

, 2006
In this paper we show that the Drazin inverse of singular Toeplitz matrix can be represented as a sum of products of lower and upper triangular Toeplitz matrices and give the explicit expression, which generalizes the well-known result by Gohberg and ...
Wei, Yimin, Diao, Huaian, Ng, Michael K.
core   +1 more source

A progress in the inverse matrix method in QCD sum rules

European Physical Journal C: Particles and Fields
In traditional QCD sum rules, the simple hadron spectral density model of the “delta-function-type ground state + theta-function-type continuous spectrum” determines that there is no perfect parameter selection.
Zhen-Xing Zhao, Yi-Peng Xing, Run-Hui Li
doaj   +1 more source

Novel Proportional–Integral–Derivative Control Framework on Continuous-Time Positive Systems Using Linear Programming

Mathematics
This paper considers the proportional–integral–derivative (PID) control for continuous-time positive systems. A three-stage strategy is introduced to design the PID controller.
Qingbo Li, Xiaoyue Zhou, Fengyu Lin, Yahao Yang, Junfeng Zhang   +4 more
doaj   +1 more source