Works (26)
Updated: December 6th, 2023 05:01
2023 journal article
Divisibility of Finite Geometric Series
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 46(5).
author keywords: Finite geometric series; Divisibility; Greatest common divisor
link.springer.com (publisher PDF)
Source: Web Of Science
Added: August 21, 2023
2023 journal article
The GCD for finite geometric series
FILOMAT, 37(29), 9973–9979.
author keywords: Finite geometric series; Greatest common divisor
Source: Web Of Science
Added: December 4, 2023
2021 journal article
From Euclid to Corner Sums - a Trail of Telescoping Tricks
FILOMAT, 35(14), 4613–4636.
author keywords: Telescoping Sum; Corner Sum; Polynomials; Recurrence Relation
Source: Web Of Science
Added: February 7, 2022
2018 journal article
PERTURBATION RESULTS AND THE FORWARD ORDER LAW FOR THE MOORE-PENROSE INVERSE OF A PRODUCT
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 34, 514–525.
Source: NC State University Libraries
Added: December 3, 2018
2018 journal article
The group inverse of the nivellateur
LINEAR & MULTILINEAR ALGEBRA, 66(12), 2409–2420.
author keywords: Nivellateur; group inverse; matrices over a field
Source: Web Of Science
Added: October 16, 2018
2015 journal article
Some regular sums
LINEAR & MULTILINEAR ALGEBRA, 63(1), 185–200.
author keywords: 16E50; 15A09; Pierce decomposition; group inverse; reflexive inverses; outer inverses; block matrices; inverse
Source: Web Of Science
Added: August 6, 2018
2014 journal article
Two by two units
Electronic Journal of Linear Algebra, 27, 489–503.
Source: NC State University Libraries
Added: August 6, 2018
2012 journal article
A note on power bounded matrices
Electronic Journal of Linear Algebra, 23, 625–645.
Source: NC State University Libraries
Added: August 6, 2018
2010 journal article
THE LINK BETWEEN REGULARITY AND STRONG-PI-REGULARITY
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 89(1), 17–22.
author keywords: Drazin inverse; strongly pi-regular; Drazin index
Source: Web Of Science
Added: August 6, 2018
2010 journal article
The (2,2,0) group inverse problem
APPLIED MATHEMATICS AND COMPUTATION, 217(2), 516–520.
author keywords: Group inverse; Block matrices
TL;DR:
The existence of the group inverse of a two by two matrix with zero (2, 2) entry, over a ring is characterized by means of the existence of a suitable function of the other three entries.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2009 journal article
Some additive results on Drazin inverses
Applied Mathematics and Computation, 215(2), 530–538.
TL;DR:
Some additive results on Drazin inverse of a sum of Dazin invertible elements are derived and some converse results are presented.
(via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018
2007 journal article
On Roth's pseudo equivalence over rings
Electronic Journal of Linear Algebra, 16, 111–124.
Source: NC State University Libraries
Added: August 6, 2018
2006 journal article
Note on a linear difference equation
AMERICAN MATHEMATICAL MONTHLY, 113(3), 250–256.
UN Sustainable Development Goal Categories
4. Quality Education
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2006 journal article
The Picard iteration and its application
LINEAR & MULTILINEAR ALGEBRA, 54(5), 329–341.
author keywords: Picard iteration; Schur complement; path condition
Source: Web Of Science
Added: August 6, 2018
2005 journal article
Diagonalizing triangular matrices via orthogonal Pierce decompositions
LINEAR ALGEBRA AND ITS APPLICATIONS, 401, 381–391.
author keywords: rings; triangular matrices; von Neumann regularity; diagonalization
Source: Web Of Science
Added: August 6, 2018
2005 journal article
Focal power
Electronic Journal of Linear Algebra, 13, 56–71.
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(OpenAlex)
Source: NC State University Libraries
Added: August 6, 2018
2005 journal article
Representations for the Drazin inverse of a 2 x 2 block matrix
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 27(3), 757–771.
author keywords: index; Drazin inverse; generalized Schur complement; weighted Drazin inverse
TL;DR:
Two representations for the Drazin inverse of a $2\times2$ block matrix M, where $A$ and $D$ are square matrices, are extended to the case where $C(I-AA^{D})=0$ and $(I- AA^{D)B=0) and the upper bounds for the index of $M$ are studied.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2005 journal article
The semi-iterative method applied to the hyper-power iteration
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 12(9), 895–910.
author keywords: hyper-power iteration; semi-iterative method; asymptotic convergence rate; quotient convergence rate; root-convergence rate
TL;DR:
The semi-iterative method (SIM) is applied to the hyper-power (HP) iteration, and necessary and sufficient conditions are given for the convergence of the semi- iterative–hyper- power (SIM– HP) iteration.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2004 journal article
Determinantal identities over commutative semirings
LINEAR ALGEBRA AND ITS APPLICATIONS, 387, 99–132.
author keywords: semiring; determinant; laplace; Cauchy-Binet
Source: Web Of Science
Added: August 6, 2018
2001 journal article
Some additive results on Drazin inverse
LINEAR ALGEBRA AND ITS APPLICATIONS, 322(1-3), 207–217.
author keywords: Drazin inverse; additive results; perturbation
Source: Web Of Science
Added: August 6, 2018
2000 journal article
Creation and annihilation in matrix theory
LINEAR ALGEBRA AND ITS APPLICATIONS, 305(1-3), 47–65.
author keywords: elimination; completion; adjoints; Brahma; Shiva
Source: Web Of Science
Added: August 6, 2018
1999 journal article
Constrained convergence
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 29(1), 177–195.
Source: Web Of Science
Added: August 6, 2018
1998 journal article
Power additivity and orthogonality
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 20(1), 1–13.
author keywords: power additivity; rank additivity; orthogonality; Cochran's theorem
TL;DR:
The relation between rank additivity and orthogonality is analyzed and the central role played by Cochran's theorem is illustrated and the properties of orthogonal and power-additive families are investigated.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
1997 journal article
Generalized polynomial bases and the Bezoutian
LINEAR ALGEBRA AND ITS APPLICATIONS, 251, 293–320.
Source: Web Of Science
Added: August 6, 2018
1997 journal article
On products of EP matrices
LINEAR ALGEBRA AND ITS APPLICATIONS, 252, 339–345.
Source: Web Of Science
Added: August 6, 2018
1997 journal article
On the convergence of power scaled Cesaro sums
LINEAR ALGEBRA AND ITS APPLICATIONS, 267, 335–358.
Source: Web Of Science
Added: August 6, 2018
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