Results 71 to 80 of about 213 (116)

Some Equivalent Conditions on s-Normal Matrices

, 2009
Concept of s-unitarily equivalent matrices is introduced. Some equivalent conditions on s-normal matrices are given.
S Krishnamoorthy, R Vijayakumar
core  

Moore-Penrose inverses of Gram matrices leaving a cone invariant in an indefinite inner product space

Special Matrices, 2015
In this paper we characterize Moore-Penrose inverses of Gram matrices leaving a cone invariant in an indefinite inner product space using the indefinite matrix multiplication. This characterization includes the acuteness (or obtuseness) of certain closed
Appi Reddy K., Kurmayya T.
doaj   +1 more source

Core-EP pre-order of Hilbert space operators

, 2018
A new binary relation associated with the core-EP inverse is presented and studied on the corresponding subset of all generalized Drazin invertible bounded linear Hilbert space operators.
Mosić, Dijana
core  

P A EXPONENTIAL STABILITY OF STOCHASTIC HYBRID SYSTEMS WITH NONDIFFERENTIABLE AND INTERVAL TIME-VARYING DELAY

, 2014
: This paper addresses exponential stability problem for a class of stochastic hybrid systems with time-varying delay. The time delay is any continuous function belonging to a given interval, but not necessary to be differentiable.
Manlika Rajchakit, Grienggrai Rajchakit
core  

Singular M-matrices which may not have a nonnegative generalized inverse

Special Matrices, 2014
A matrix A ∈ ℝn×n is a GM-matrix if A = sI − B, where 0 < ρ(B) ≤ s and B ∈WPFn i.e., both B and Bthave ρ(B) as their eigenvalues and their corresponding eigenvector is entry wise nonnegative.
Sushama Agrawal N., Premakumari K., Sivakumar K.C.   +2 more
doaj   +1 more source

Resolution And Stability Analysis Of An Inverse Problem In Electrical Impedance Tomography --- Dependence On The Input Current Patterns

, 1994
. Electrical impedance tomography is a procedure by which one finds the conductivity distribution inside a domain from measurements of voltages and currents at the boundary.
David Dobson
core  

Extensions of G-based Matrix Partial Orders

, 1995
We prove that a partial order ¯ G on IR m\Thetan can always be extended to a G-based matrix partial order ¯ G such that G (A) 6= ; for all A 2 IR m\Thetan , thus answering an open question [6].
Projektbereich B, H. J. Werner, S. K. Mitra, S. K. Jain   +3 more
core  

A mathematical theory of super-resolution and two-point resolution

Forum of Mathematics, Sigma
This paper focuses on the fundamental aspects of super-resolution, particularly addressing the stability of super-resolution and the estimation of two-point resolution. Our first major contribution is the introduction of two location-amplitude identities
Ping Liu, Habib Ammari
doaj   +1 more source

The uniqueness of expression for generalized quadratic matrices

Open Mathematics
It is shown that the expression as A2=αA+βP{A}^{2}=\alpha A+\beta P for generalized quadratic matrices is not unique by numerical examples. Then it is proven that the uniqueness of expression for generalized quadratic matrices is concerned not only with ...
Chen Meixiang, Yang Zhongpeng, Chen Qinghua   +2 more
doaj   +1 more source

Evaluating AT,S(2)A_{T,S}^{\left( 2 \right)} Matrix Inverses from full-rank Singular Value Decomposition

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Based on the compact SVD decomposition of the full rank of a predetermined matrix M, a method for calculating the inverses AT,S(2)A_{T,S}^{\left( 2 \right)} of matrix A is derived. As a consequence, the advantages of compact single value decompositions
Stanimirović Ivan
doaj   +1 more source