Derivative of Determinant; Non-Symmetric Matrix; Eigenvalue; Band Matrix; LDU Decomposition - Articles

Derivative of a Determinant with Respect to an Eigenvalue in the LDU Decomposition of a Non-Symmetric Matrix (Articles)

Mitsuhiro Kashiwagi

Applied Mathematics Vol.4 No.3，March 21, 2013

DOI: 10.4236/am.2013.43069 6,095 Downloads 13,717 Views Citations
Derivative of a Determinant with Respect to an Eigenvalue in the Modified Cholesky Decomposition of a Symmetric Matrix, with Applications to Nonlinear Analysis (Articles)

Mitsuhiro Kashiwagi

American Journal of Computational Mathematics Vol.4 No.2，March 25, 2014

DOI: 10.4236/ajcm.2014.42009 3,925 Downloads 5,682 Views Citations
One Approach to Construction of Bilateral Approximations Methods for Solution of Nonlinear Eigenvalue Problems (Articles)

Bohdan Mykhajlovych Podlevskyi

American Journal of Computational Mathematics Vol.2 No.2，June 21, 2012

DOI: 10.4236/ajcm.2012.22016 3,159 Downloads 6,334 Views Citations
On Least Squares Solutions of Matrix Equation MZN=S (Articles)

Yuping Zhang, Changzhou Dong, Jianmin Song

Advances in Linear Algebra & Matrix Theory Vol.3 No.4，December 6, 2013

DOI: 10.4236/alamt.2013.34009 4,314 Downloads 9,148 Views Citations
Trace of Positive Integer Power of Real 2 × 2 Matrices (Articles)

Jagdish Pahade, Manoj Jha

Advances in Linear Algebra & Matrix Theory Vol.5 No.4，December 7, 2015

DOI: 10.4236/alamt.2015.54015 8,306 Downloads 10,559 Views Citations
A New Algorithm for Computing the Determinant and the Inverse of a Pentadiagonal Toeplitz Matrix (Articles)

Yuehui Chen

Engineering Vol.5 No.5A，May 24, 2013

DOI: 10.4236/eng.2013.55A004 5,390 Downloads 7,792 Views Citations
This article belongs to the Special Issue on Mathematical Problems in Engineering
The LA = U Decomposition Method for Solving Systems of Linear Equations (Articles)

Ababu T. Tiruneh, Tesfamariam Y. Debessai, Gabriel C. Bwembya, Stanley J. Nkambule

Journal of Applied Mathematics and Physics Vol.7 No.9，September 23, 2019

DOI: 10.4236/jamp.2019.79140 1,575 Downloads 4,369 Views Citations
Hamiltonian Polynomial Eigenvalue Problems (Articles)

Mustapha Bassour

Journal of Applied Mathematics and Physics Vol.8 No.4，March 31, 2020

DOI: 10.4236/jamp.2020.84047 1,024 Downloads 2,108 Views Citations
On Linear Algebra for Non Mathematics Majors (Articles)

Huaichen Chen, Shuping Gao, Wei Yang

Journal of Applied Mathematics and Physics Vol.4 No.4，April 13, 2016

DOI: 10.4236/jamp.2016.44065 2,567 Downloads 5,677 Views Citations
Combining Algebraic and Numerical Techniques for Computing Matrix Determinant (Articles)

Mohammad M. Tabanjeh

American Journal of Computational Mathematics Vol.4 No.5，December 25, 2014

DOI: 10.4236/ajcm.2014.45039 3,324 Downloads 4,545 Views Citations
Application and Generalization of Eigenvalues Perturbation Bounds for Hermitian Block Tridiagonal Matrices (Articles)

Jicheng Li, Jing Wu, Xu Kong

Journal of Applied Mathematics and Physics Vol.2 No.3，February 25, 2014

DOI: 10.4236/jamp.2014.23007 3,452 Downloads 5,394 Views Citations
The Bounds for Eigenvalues of Normalized Laplacian Matrices and Signless Laplacian Matrices (Articles)

Serife Büyükköse, Sehri Gülçiçek Eski

Advances in Linear Algebra & Matrix Theory Vol.4 No.4，November 14, 2014

DOI: 10.4236/alamt.2014.44017 3,734 Downloads 4,971 Views Citations
Optimal Bounds for the Largest Eigenvalue of a 3 × 3 Correlation Matrix (Articles)

Werner Hürlimann

Advances in Pure Mathematics Vol.5 No.7，June 2, 2015

DOI: 10.4236/apm.2015.57039 3,362 Downloads 4,468 Views Citations
This article belongs to the Special Issue on Eigenvalues and Eigenvectors
The Number of Digraphs with Cycles of Length k (Articles)

Chuanlong Wang, Mudaster Sidik, Xuerong Yong

Open Journal of Discrete Mathematics Vol.4 No.1，January 23, 2014

DOI: 10.4236/ojdm.2014.41002 3,342 Downloads 5,458 Views Citations
The Angles and Main Angles of Some Special Graphs (Articles)

Haicheng Ma, Shang Gao

Applied Mathematics Vol.11 No.6，June 16, 2020

DOI: 10.4236/am.2020.116035 542 Downloads 1,613 Views Citations
On Bicomplex Representation Methods and Applications of Matrices over Quaternionic Division Algebra (Articles)

Junliang Wu, Pingping Zhang

Advances in Pure Mathematics Vol.1 No.2，March 30, 2011

DOI: 10.4236/apm.2011.12004 5,378 Downloads 12,229 Views Citations
Generalizations of a Matrix Inequality (Articles)

Lingzhi Zhao, Jun Yuan, Yunfeng Cai

Applied Mathematics Vol.5 No.3，February 7, 2014

DOI: 10.4236/am.2014.53034 4,565 Downloads 7,177 Views Citations
Stabilization of Linear Multistage Amplifiers (Articles)

J. Ladvánszky

Circuits and Systems Vol.9 No.11，November 12, 2018

DOI: 10.4236/cs.2018.911017 1,130 Downloads 3,214 Views Citations
Eigenvalues of Jacobian Matrices Report on Steps of Metabolic Reprogramming in a Complex Plant-Environment Interaction (Articles)

Thomas Nägele, Wolfram Weckwerth

Applied Mathematics Vol.4 No.8A，July 24, 2013

DOI: 10.4236/am.2013.48A007 5,312 Downloads 7,809 Views Citations
This article belongs to the Special Issue on Mathematical Modeling
Left Eigenvector of a Stochastic Matrix (Articles)

Sylvain Lavalle´e

Advances in Pure Mathematics Vol.1 No.4，July 29, 2011

DOI: 10.4236/apm.2011.14023 5,588 Downloads 13,049 Views Citations

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