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

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.

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.

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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