Representations and symbolic computation of generalized inverses over fields

PS Stanimirović, M Ćirić, A Lastra, JR Sendra… - Applied Mathematics …, 2021 - Elsevier
This paper investigates representations of outer matrix inverses with prescribed range
and/or null space in terms of inner inverses. Further, required inner inverses are computed …

Computation of the generalized inverse of a polynomial matrix and applications

NP Karampetakis - Linear Algebra and its Applications, 1997 - Elsevier
The computation of the generalized inverse of a constant matrix is utilized in finding the
generalized inverse and its Laurent expansion of a nonregular polynomial matrix. The …

[HTML][HTML] Response determination of linear dynamical systems with singular matrices: A polynomial matrix theory approach

EN Antoniou, AA Pantelous… - Applied Mathematical …, 2017 - Elsevier
An approach is developed based on polynomial matrix theory for formulating the equations
of motion and for determining the response of multi-degree-of-freedom (MDOF) linear …

The computation and application of the generalized inverse via Maple

J Jones, NP Karampetakis, AC Pugh - Journal of Symbolic Computation, 1998 - Elsevier
In Karampetakis (1995) an algorithm for computing the generalized inverse of a singular
polynomial matrixA (s)∈ R [s] n× mhas been presented. In this paper the algorithm is …

Recent developments in robotic vision and path following in robotic arms and autonomous robots

E Poulianiti, GS Maraslidis, K Tsintotas… - AIP Conference …, 2024 - pubs.aip.org
Our paper investigates recent developments in robotic vision and path-following
technologies, with a focus on the latest advancements in robotic vision systems, including …

On the computation of the generalized inverse of a polynomial matrix

NP Karampetakis, P Tzekis - IMA Journal of Mathematical …, 2001 - ieeexplore.ieee.org
The main purpose of this paper is to present a quicker and less memory-expensive
algorithm for the generalized inversion of polynomial matrices than those presented earlier …

[图书][B] Computation of generalized matrix inverses and applications

I Stanimirović - 2017 - taylorfrancis.com
This volume offers a gradual exposition to matrix theory as a subject of linear algebra. It
presents both the theoretical results in generalized matrix inverses and the applications. The …

Generalized inverses of two-variable polynomial matrices and applications

NP Karampetakis - Circuits, Systems and Signal Processing, 1997 - Springer
Generalized inverses of two-variable polynomial matrices and applications Page 1
CIRCUITs SYSTEMS SIGNAL PRC~$1NG VOL 16, NO. 4,1997, PP. 439-453 …

Computing generalized inverses using LU factorization of matrix product

PS Stanimirović, MB Tasić - International Journal of Computer …, 2008 - Taylor & Francis
An algorithm for computing {2, 3},{2, 4},{1, 2, 3},{1, 2, 4}-inverses and the Moore–Penrose
inverse of a given rational matrix A is established. Classes A {2, 3} s and A {2, 4} s are …

Closed form solution for the equations of motion for constrained linear mechanical systems and generalizations: an algebraic approach

L Moysis, AA Pantelous, E Antoniou… - Journal of the Franklin …, 2017 - Elsevier
In this paper, a mathematical methodology is presented for the determination of the solution
of motion for linear constrained mechanical systems applicable also to systems with singular …