Singular Value; Eigenvalue Perturbation; Hermitian Matrix; Block Tridiagonal Matrix; Eigenvector - Articles

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 3,614 Downloads 5,880 Views Citations
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 5,870 Downloads 13,635 Views Citations
Approximate Solution of the Singular-Perturbation Problem on Chebyshev-Gauss Grid (Articles)

Mustafa GÜLSU, Yalçn ÖZTÜRK

American Journal of Computational Mathematics Vol.1 No.4, December 9, 2011

DOI: 10.4236/ajcm.2011.14024 6,444 Downloads 12,058 Views Citations
A Matrix Inequality for the Inversions of the Restrictions of a Positive Definite Hermitian Matrix (Articles)

Weixiong Mai, Mo Yan, Tao Qian, Matteo Dalla Riva, Saburou Saitoh

Advances in Linear Algebra & Matrix Theory Vol.3 No.4, December 19, 2013

DOI: 10.4236/alamt.2013.34011 4,567 Downloads 9,948 Views Citations
Voltage and Current Mode Vector Analyses of Correction Procedure Application to Clarke’s Matrix—Symmetrical Three-Phase Cases (Articles)

Afonso José do PRADO, Sérgio KUROKAWA, José Pissolato FILHO, Luiz Fernando BOVOLATO

Journal of Electromagnetic Analysis and Applications Vol.2 No.1, January 28, 2010

DOI: 10.4236/jemaa.2010.21002 6,067 Downloads 10,871 Views Citations
Algorithms for Solving Linear Systems of Equations of Tridiagonal Type via Transformations (Articles)

Moawwad El-Mikkawy, Faiz Atlan

Applied Mathematics Vol.5 No.3, February 11, 2014

DOI: 10.4236/am.2014.53042 8,676 Downloads 13,999 Views Citations
Decompositions of Some Special Block Tridiagonal Matrices (Articles)

Hsin-Chu Chen

Advances in Linear Algebra & Matrix Theory Vol.11 No.2, June 10, 2021

DOI: 10.4236/alamt.2021.112005 614 Downloads 2,013 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 4,137 Downloads 6,155 Views Citations
Continuous-Time and Discrete-Time Singular Value Decomposition of an Impulse Response Function (Articles)

Rogelio Luck, Yucheng Liu

Applied Mathematics Vol.12 No.4, April 28, 2021

DOI: 10.4236/am.2021.124024 643 Downloads 2,265 Views Citations
A Geometric View on Inner Transformation between the Variables of a Linear Regression Model (Articles)

Zhaoyang Li, Bostjan Antoncic

Applied Mathematics Vol.12 No.10, October 29, 2021

DOI: 10.4236/am.2021.1210061 381 Downloads 1,493 Views Citations
Constrained Low Rank Approximation of the Hermitian Nonnegative-Definite Matrix (Articles)

Haixia Chang

Advances in Linear Algebra & Matrix Theory Vol.10 No.2, June 29, 2020

DOI: 10.4236/alamt.2020.102003 692 Downloads 1,975 Views Citations
A Generalization of the Cayley-Hamilton Theorem (Articles)

Raj Kumar Kanwar

Advances in Pure Mathematics Vol.3 No.1, January 29, 2013

DOI: 10.4236/apm.2013.31014 9,964 Downloads 16,436 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 3,966 Downloads 5,496 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 3,503 Downloads 4,930 Views Citations
This article belongs to the Special Issue on Eigenvalues and Eigenvectors
Inverse Nonnegativity of Tridiagonal M-Matrices under Diagonal Element-Wise Perturbation (Articles)

Mohamed A. Ramadan, Mahmoud M. Abu Murad

Advances in Linear Algebra & Matrix Theory Vol.5 No.2, June 9, 2015

DOI: 10.4236/alamt.2015.52004 4,758 Downloads 6,140 Views Citations
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 3,558 Downloads 5,978 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 627 Downloads 2,040 Views Citations
On Accelerated Singular Value Thresholding Algorithm for Matrix Completion (Articles)

Li Wang, Jianfeng Hu, Chuanzhong Chen

Applied Mathematics Vol.5 No.21, December 11, 2014

DOI: 10.4236/am.2014.521322 4,034 Downloads 5,601 Views Citations
Perturbation Analysis for the Matrix-Scaled Total Least Squares Problem (Articles)

Qun Wang, Longyan Li, Pingping Zhang

Advances in Pure Mathematics Vol.11 No.2, February 8, 2021

DOI: 10.4236/apm.2021.112008 560 Downloads 1,799 Views Citations
Exact Inversion of Pentadiagonal Matrix for Semi-Analytic Solution of 2D Poisson Equation (Articles)

Serigne Bira Gueye

Journal of Modern Physics Vol.13 No.12, December 27, 2022

DOI: 10.4236/jmp.2022.1312094 228 Downloads 983 Views Citations

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