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Advances in Linear Algebra & Matrix Theory
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Advances in Linear Algebra & Matrix Theory
ISSN Print:
2165-333X
ISSN Online:
2165-3348
www.scirp.org/journal/alamt
E-mail:
alamt@scirp.org
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Top Cited Articles
(79 articles with 395 citations as of July 2024)
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Times Cited -- highest to lowest
Times Cited -- lowest to highest
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Publication Date -- oldest to newest
Trace of Positive Integer Power of Real 2 × 2 Matrices
,
Advances in Linear Algebra & Matrix Theory, Vol.5 No.4, 2015
Jagdish Pahade, Manoj Jha
Citations:
42
(Details)
Matrices and Division by Zero z/0 = 0
,
Advances in Linear Algebra & Matrix Theory, Vol.6 No.2, 2016
Tsutomu Matsuura, Saburou Saitoh
Citations:
23
(Details)
Generalized Inversions of Hadamard and Tensor Products for Matrices
,
Advances in Linear Algebra & Matrix Theory, Vol.4 No.2, 2014
Saburou Saitoh
Citations:
22
(Details)
Low-Rank Positive Approximants of Symmetric Matrices
,
Advances in Linear Algebra & Matrix Theory, Vol.4 No.3, 2014
Achiya Dax
Citations:
20
(Details)
Rhotrix Linear Transformation
,
Advances in Linear Algebra & Matrix Theory, Vol.2 No.4, 2012
Abdul Mohammed, Musa Balarabe, Abdussamad Tanko Imam
Citations:
13
(Details)
A Linear Interpolation-Based Algorithm for Path Planning and Replanning on Girds
,
Advances in Linear Algebra & Matrix Theory, Vol.2 No.2, 2012
Changwen Zheng, Jiawei Cai, Huafei Yin
Citations:
11
(Details)
First Review of Articles on Rhotrix Theory Since Its Inception
,
Advances in Linear Algebra & Matrix Theory, Vol.4 No.4, 2014
A. Mohammed, M. Balarabe
Citations:
11
(Details)
On the Norms of
r
-Toeplitz Matrices Involving Fibonacci and Lucas Numbers
,
Advances in Linear Algebra & Matrix Theory, Vol.6 No.2, 2016
Hasan Gökbaş, Ramazan Türkmen
Citations:
11
(Details)
New Method of Givens Rotations for Triangularization of Square Matrices
,
Advances in Linear Algebra & Matrix Theory, Vol.4 No.2, 2014
Artyom M. Grigoryan
Citations:
10
(Details)
Higher Order Strongly Biconvex Functions and Biequilibrium Problems
,
Advances in Linear Algebra & Matrix Theory, Vol.11 No.2, 2021
Muhammad Aslam Noor, Khalida Inayat Noor
Citations:
9
(Details)
Using Row Reduced Echelon Form in Balancing Chemical Equations
,
Advances in Linear Algebra & Matrix Theory, Vol.6 No.4, 2016
R. O. Akinola, S. Y. Kutchin, I. A. Nyam, O. Adeyanju
Citations:
8
(Details)
A New Iterative Solution Method for Solving Multiple Linear Systems
,
Advances in Linear Algebra & Matrix Theory, Vol.2 No.3, 2012
Saeed Karimi
Citations:
8
(Details)
A Modified Precondition in the Gauss-Seidel Method
,
Advances in Linear Algebra & Matrix Theory, Vol.2 No.3, 2012
Alimohammad Nazari, Sajjad Zia Borujeni
Citations:
8
(Details)
Geometric Analogy and Products of Vectors in
n
Dimensions
,
Advances in Linear Algebra & Matrix Theory, Vol.3 No.1, 2013
Leonardo Simal Moreira
Citations:
7
(Details)
On the Spectral Characterization of
H
-Shape Trees
,
Advances in Linear Algebra & Matrix Theory, Vol.4 No.2, 2014
Shengbiao Hu
Citations:
7
(Details)
A New Expression for Rhotrix
,
Advances in Linear Algebra & Matrix Theory, Vol.4 No.2, 2014
Abdul Mohammed
Citations:
7
(Details)
The Discriminance for
FLDcirc
r
Matrices and the Fast Algorithm of Their Inverse and Generalized Inverse
,
Advances in Linear Algebra & Matrix Theory, Vol.5 No.2, 2015
Xue Pan, Mei Qin
Citations:
7
(Details)
The Wiener Index of an Undirected Power Graph
,
Advances in Linear Algebra & Matrix Theory, Vol.11 No.1, 2021
Volkan Aşkin, Şerife Büyükköse
Citations:
7
(Details)
Generalized Form of Hermite Matrix Polynomials via the Hypergeometric Matrix Function
,
Advances in Linear Algebra & Matrix Theory, Vol.4 No.2, 2014
Raed S. Batahan
Citations:
6
(Details)
Commuting Outer Inverses
,
Advances in Linear Algebra & Matrix Theory, Vol.3 No.4, 2013
Muneo Chō, Gabriel Kantún-Montiel
Citations:
6
(Details)
Minimum Covering Randić Energy of a Graph
,
Advances in Linear Algebra & Matrix Theory, Vol.6 No.4, 2016
M. R. Rajesh Kanna, R. Jagadeesh
Citations:
6
(Details)
A Generalization of Cramer’s Rule
,
Advances in Linear Algebra & Matrix Theory, Vol.5 No.4, 2015
Hugo Leiva
Citations:
6
(Details)
A Direct Transformation of a Matrix Spectrum
,
Advances in Linear Algebra & Matrix Theory, Vol.5 No.3, 2015
Albert Iskhakov, Sergey Skovpen
Citations:
6
(Details)
Partial Ordering of Range Symmetric Matrices and M-Projectors with Respect to Minkowski Adjoint in Minkowski Space
,
Advances in Linear Algebra & Matrix Theory, Vol.6 No.4, 2016
D. Krishnaswamy, Mohd Saleem Lone
Citations:
5
(Details)
Parallel Multicore CSB Format and Its Sparse Matrix Vector Multiplication
,
Advances in Linear Algebra & Matrix Theory, Vol.4 No.1, 2014
Bing Yang, Shuo Gu, Tong-Xiang Gu, Cong Zheng, Xing-Ping Liu
Citations:
5
(Details)
Computing Approximation GCD of Several Polynomials by Structured Total Least Norm
,
Advances in Linear Algebra & Matrix Theory, Vol.3 No.4, 2013
Xuefeng Duan, Xinjun Zhang, Qingwen Wang
Citations:
5
(Details)
Minimal Critical Sets of Refined Inertias for Irreducible Sign Patterns of Order 2
,
Advances in Linear Algebra & Matrix Theory, Vol.3 No.2, 2013
Ber-Lin Yu
Citations:
5
(Details)
Quantification of Revenue Induction and Expenditure Reflux in a Monetary Economy
,
Advances in Linear Algebra & Matrix Theory, Vol.5 No.1, 2015
Shinji Miura
Citations:
5
(Details)
On the FOM Algorithm for the Resolution of the Linear Systems Ax = b
,
Advances in Linear Algebra & Matrix Theory, Vol.4 No.3, 2014
Mongi Benhamadou
Citations:
5
(Details)
Solvability of the Economic Input-Output Equation by Time Irreversibility
,
Advances in Linear Algebra & Matrix Theory, Vol.4 No.3, 2014
Shinji Miura
Citations:
4
(Details)
Money Circulation Equation Considering Time Irreversibility
,
Advances in Linear Algebra & Matrix Theory, Vol.4 No.4, 2014
Shinji Miura
Citations:
4
(Details)
The Better Accuracy of Strassen-Winograd Algorithms (FastMMW)
,
Advances in Linear Algebra & Matrix Theory, Vol.4 No.1, 2014
Paolo D’Alberto
Citations:
4
(Details)
Solving the Class Equation x
d
= β in an Alternating Group for Each β ∈ C
α
∩ H
n
c
and n > 1
,
Advances in Linear Algebra & Matrix Theory, Vol.2 No.2, 2012
Shuker Mahmood, Andrew Rajah
Citations:
4
(Details)
A New Type of Restarted Krylov Methods
,
Advances in Linear Algebra & Matrix Theory, Vol.7 No.1, 2017
Achiya Dax
Citations:
4
(Details)
Iterative Methods for Solving the Nonlinear Matrix Equation
X
-
A
*
X
p
A
-
B
*
X
-q
B
=
I
(0<
p
,
q
<1)
,
Advances in Linear Algebra & Matrix Theory, Vol.7 No.3, 2017
Dongjie Gao
Citations:
4
(Details)
6R Robot Inverse Solution Algorithm Based on Quaternion Matrix and Groebner Base
,
Advances in Linear Algebra & Matrix Theory, Vol.8 No.1, 2018
Zhensong Ni, Ruikun Wu
Citations:
4
(Details)
On Classes of Matrices with Variants of the Diagonal Dominance Property
,
Advances in Linear Algebra & Matrix Theory, Vol.7 No.2, 2017
Farid O. Farid
Citations:
3
(Details)
Periodic Solution for Stochastic Predator-Prey Systems with Nonlinear Harvesting and Impulses
,
Advances in Linear Algebra & Matrix Theory, Vol.9 No.4, 2019
Yafei Yang, Yuanfu Shao, Mengwei Li
Citations:
3
(Details)
Application of Different
H
(
x
) in Homotopy Analysis Methods for Solving Systems of Linear Equations
,
Advances in Linear Algebra & Matrix Theory, Vol.5 No.3, 2015
Mohammad Hasan Khani, Jalil Rashidinia, Sajjad Zia Borujeni
Citations:
3
(Details)
A Real-Time Transient Analysis of a Functionally Graded Material Plate Using Reduced-Basis Methods
,
Advances in Linear Algebra & Matrix Theory, Vol.5 No.3, 2015
Yonghui Huang, Yi Huang
Citations:
3
(Details)
Dykstra’s Algorithm for the Optimal Approximate Symmetric Positive Semidefinite Solution of a Class of Matrix Equations
,
Advances in Linear Algebra & Matrix Theory, Vol.6 No.1, 2016
Chunmei Li, Xuefeng Duan, Zhuling Jiang
Citations:
3
(Details)
The Solution of the Eigenvector Problem in Synchrotron Radiation Based Anomalous Small-Angle X-Ray Scattering
,
Advances in Linear Algebra & Matrix Theory, Vol.3 No.4, 2013
Guenter Johannes Goerigk
Citations:
3
(Details)
Innovative Structured Matrices
,
Advances in Linear Algebra & Matrix Theory, Vol.3 No.3, 2013
Rahul Gupta, Garimella Rama Murthy
Citations:
3
(Details)
Matrices That Commute with Their Conjugate and Transpose
,
Advances in Linear Algebra & Matrix Theory, Vol.3 No.3, 2013
Geoffrey Goodson
Citations:
3
(Details)
Non-Singularity Conditions for Two Z-Matrix Types
,
Advances in Linear Algebra & Matrix Theory, Vol.4 No.2, 2014
Shinji Miura
Citations:
3
(Details)
Introduction to Lie Algebras and Their Representations
,
Advances in Linear Algebra & Matrix Theory, Vol.11 No.3, 2021
Amor Hasić
Citations:
3
(Details)
Some New Systems of Exponentially General Equations
,
Advances in Linear Algebra & Matrix Theory, Vol.12 No.3, 2022
Muhammad Aslam Noor, Khalida Inayat Noor
Citations:
3
(Details)
Effective Methods of QR-Decompositions of Square Complex Matrices by Fast Discrete Signal-Induced Heap Transforms
,
Advances in Linear Algebra & Matrix Theory, Vol.12 No.4, 2022
Artyom M. Grigoryan
Citations:
2
(Details)
A Compact Heart Iteration for Large Eigenvalues Problems
,
Advances in Linear Algebra & Matrix Theory, Vol.12 No.1, 2022
Achiya Dax
Citations:
2
(Details)
Estimated Bounds for Zeros of Polynomials from Traces of Graeffe Matrices
,
Advances in Linear Algebra & Matrix Theory, Vol.4 No.4, 2014
Ousmane Moussa Tessa, Maimouna Salou, Morou Amidou
Citations:
2
(Details)
New Approach for the Inversion of Structured Matrices via Newton’s Iteration
,
Advances in Linear Algebra & Matrix Theory, Vol.5 No.1, 2015
Mohammad M. Tabanjeh
Citations:
2
(Details)
H
-Singular Value of a Positive Tensor
,
Advances in Linear Algebra & Matrix Theory, Vol.5 No.1, 2015
Jun He
Citations:
2
(Details)
Jordan Semi-Triple Multiplicative Maps on the Symmetric Matrices
,
Advances in Linear Algebra & Matrix Theory, Vol.3 No.2, 2013
Xiaoning Hao, Pengxiang Ren, Runling An
Citations:
2
(Details)
On Exact Determination of Eigen Vectors
,
Advances in Linear Algebra & Matrix Theory, Vol.5 No.2, 2015
Raghuram Prasad Dasaradhi, V. V. Haragopal
Citations:
2
(Details)
Bounding Inequalities for Eigenvalues of Principal Submatrices
,
Advances in Linear Algebra & Matrix Theory, Vol.9 No.2, 2019
Achiya Dax
Citations:
2
(Details)
A Note on SK, SK
1
, SK
2
Indices of Interval Weighted Graphs
,
Advances in Linear Algebra & Matrix Theory, Vol.11 No.1, 2021
Semiha Başdaş Nurkahlı, Şerife Büyükköse
Citations:
2
(Details)
A Note on the Spectral Radius of Weighted Signless Laplacian Matrix
,
Advances in Linear Algebra & Matrix Theory, Vol.8 No.1, 2018
Şerife Büyükköse, Nurşah Mutlu, Gülistan Kaya Gök
Citations:
2
(Details)
The Significance of Solutions Obtained from Ill-Posed Systems of Linear Equations Constituted by Synchrotron Radiation Based Anomalous Small-Angle X-Ray Scattering
,
Advances in Linear Algebra & Matrix Theory, Vol.8 No.1, 2018
Günter Johannes Goerigk
Citations:
2
(Details)
Pseudo Laguerre Matrix Polynomials, Operational Identities and Quasi-Monomiality
,
Advances in Linear Algebra & Matrix Theory, Vol.8 No.2, 2018
Maged G. Bin-Saad, M. A. Pathan
Citations:
1
(Details)
On Horn Matrix Function
H
2
(A,A′,B,B′;C;z,w)
of Two Complex Variables under Differential Operator
,
Advances in Linear Algebra & Matrix Theory, Vol.8 No.2, 2018
Mohamed Saleh Metwally, Mahmoud Tawfik Mohamed, Ayman Shehata
Citations:
1
(Details)
A Follow-Up on Projection Theory: Theorems and Group Action
,
Advances in Linear Algebra & Matrix Theory, Vol.9 No.1, 2019
Jean-Francois Niglio
Citations:
1
(Details)
Moore-Penrose Inverse and Semilinear Equations
,
Advances in Linear Algebra & Matrix Theory, Vol.8 No.1, 2018
Hugo Leiva, Raúl Manzanilla
Citations:
1
(Details)
Applications of Arithmetic Geometric Mean Inequality
,
Advances in Linear Algebra & Matrix Theory, Vol.7 No.2, 2017
Wasim Audeh
Citations:
1
(Details)
Decompositions of Some Special Block Tridiagonal Matrices
,
Advances in Linear Algebra & Matrix Theory, Vol.11 No.2, 2021
Hsin-Chu Chen
Citations:
1
(Details)
Numerical Radius Inequalities for Sums and Products of Operators
,
Advances in Linear Algebra & Matrix Theory, Vol.9 No.3, 2019
Wasim Audeh
Citations:
1
(Details)
Linear Codes over the Finite Ring
Z
15
,
Advances in Linear Algebra & Matrix Theory, Vol.10 No.1, 2020
Wensheng Li, Lingyu Wan, Mengtian Yue, Wei Chen, Xuedong Zhang
Citations:
1
(Details)
A New Approximation to the Linear Matrix Equation
AX
=
B
by Modification of He’s Homotopy Perturbation Method
,
Advances in Linear Algebra & Matrix Theory, Vol.6 No.2, 2016
Amir Sadeghi
Citations:
1
(Details)
A General Hermitian Nonnegative-Definite Solution to the Matrix Equation
AXB
=
C
,
Advances in Linear Algebra & Matrix Theory, Vol.7 No.1, 2017
Phil D. Young, Dean M. Young, Marsha M. Young
Citations:
1
(Details)
Jordan Γ*-Derivation on Semiprime Γ-Ring
M
with Involution
,
Advances in Linear Algebra & Matrix Theory, Vol.6 No.2, 2016
Ali Kareem, Hajar Sulaiman, Abdul-Rahman Hameed Majeed
Citations:
1
(Details)
Least-Squares Solutions of Generalized Sylvester Equation with Xi Satisfies Different Linear Constraint
,
Advances in Linear Algebra & Matrix Theory, Vol.6 No.2, 2016
Xuelin Zhou, Dandan Song, Qingle Yang, Jiaofen Li
Citations:
1
(Details)
A QMR-Type Algorithm for Drazin-Inverse Solution of Singular Nonsymmetric Linear Systems
,
Advances in Linear Algebra & Matrix Theory, Vol.6 No.4, 2016
Alireza Ataei
Citations:
1
(Details)
On the Minimal Polynomial of a Vector
,
Advances in Linear Algebra & Matrix Theory, Vol.2 No.4, 2012
Dabin Zheng, Heguo Liu
Citations:
1
(Details)
On Real Matrices to Least-Squares g-Inverse and Minimum Norm g-Inverse of Quaternion Matrices
,
Advances in Linear Algebra & Matrix Theory, Vol.1 No.1, 2011
Huasheng Zhang
Citations:
1
(Details)
Schur Complement of con-s-k-EP Matrices
,
Advances in Linear Algebra & Matrix Theory, Vol.2 No.1, 2012
B. K. N. Muthugobal
Citations:
1
(Details)
On Least Squares Solutions of Matrix Equation MZN=S
,
Advances in Linear Algebra & Matrix Theory, Vol.3 No.4, 2013
Yuping Zhang, Changzhou Dong, Jianmin Song
Citations:
1
(Details)
A Matrix Inequality for the Inversions of the Restrictions of a Positive Definite Hermitian Matrix
,
Advances in Linear Algebra & Matrix Theory, Vol.3 No.4, 2013
Weixiong Mai, Mo Yan, Tao Qian, Matteo Dalla Riva, Saburou Saitoh
Citations:
1
(Details)
Inverse Nonnegativity of Tridiagonal
M
-Matrices under Diagonal Element-Wise Perturbation
,
Advances in Linear Algebra & Matrix Theory, Vol.5 No.2, 2015
Mohamed A. Ramadan, Mahmoud M. Abu Murad
Citations:
1
(Details)
Matrix Inequalities for the Fan Product and the Hadamard Product of Matrices
,
Advances in Linear Algebra & Matrix Theory, Vol.5 No.3, 2015
Dongjie Gao
Citations:
1
(Details)
Nonlinear Jordan Triple Derivations of Triangular Algebras
,
Advances in Linear Algebra & Matrix Theory, Vol.4 No.4, 2014
Hongxia Li
Citations:
1
(Details)
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