Results 61 to 70 of about 99 (97)

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  

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

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

On Powers, Roots and Moore–Penrose Inverses of Matrices Via Generalized Fibonacci Numbers

Annales Mathematicae Silesianae
The purpose of this work is to introduce some new results about the relations between powers, roots and Moore–Penrose inverses of square matrices satisfying a cubic matrix equation and the generalized Fibonacci numbers.
Karakaya Sinan, Özdemir Halim, Özban Ahmet Yaşar   +2 more
doaj   +1 more source

[Evaluation of clinical efficacy of a kind of digital complete denture]. [PDF]

Beijing Da Xue Xue Bao Yi Xue Ban, 2020
Wei L, Zou D, Chen H, Pan SX, Sun YC, Zhou YS.   +5 more
europepmc   +1 more source

Inertias and ranks of some Hermitian matrix functions with applications

Open Mathematics, 2012
Zhang Xiang, Wang Qing-Wen, Liu Xin
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

Quadratic prediction problems in multivariate linear models

Linear and quadratic prediction problems in finite populations have become of great interest to many authors recently. In the present paper, we mainly aim to extend the problem of quadratic prediction from a general linear model, of form , to a ...
Liu, Xu-Qing, Wang, Dong-Dong, Rong, Jian-Ying   +2 more
core  

Weighted MP weak group inverse

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
To extent the notion of the MP weak group inverse for square matrices, we introduce the concept of the weighted MP weak group inverse for rectangular matrices.
Mosić Dijana, Marovt Janko
doaj   +1 more source

Weak MPCEP and *CEPMP inverses

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
We generalize the systems of equations, which introduced the MPCEP and *CEPMP inverses, using a minimal rank weak Drazin inverse and a minimal rank right weak Drazin inverse.
Mosić Dijana
doaj   +1 more source