Finding out eigen-values and eigen-vectors of matrices.
References
[1] S. S. Sastry, Introductory Methods of Numerical Analysis, 5th ed. New Delhi, India: PHI Learning Pvt. Ltd., 2012.
[2] R. L. Burden and J. D. Faires, Numerical Analysis, 9th ed. Boston, MA, USA: Brooks/Cole, Cengage Learning, 2011.
[3] S. C. Chapra and R. P. Canale, Numerical Methods for Engineers, 7th ed. New York, NY, USA: McGraw-Hill Education, 2015.
[4] C. F. Gerald and P. O. Wheatley, Applied Numerical Analysis, 5th ed. Reading, MA, USA: Addison-Wesley, 1994.
[5] M. K. Jain, S. R. K. Iyengar and R. K. Jain, Numerical Methods for Scientific and Engineering Computation, 6th ed. New Delhi, India: New Age International, 2012.
[6] He, Yukun, Jiaoyang Huang, and Chen Wang. "Extremal eigenvectors of sparse random matrices." arXiv preprint arXiv:2501.16444 (2025).
[7] He, Yukun, Jiaoyang Huang, and Horng-Tzer Yau. "Gaussian waves and edge eigenvectors of random regular graphs." arXiv preprint arXiv:2502.08897 (2025).
[8] Osman, Mohammed. "Least non-zero singular value and the distribution of eigenvectors of non-Hermitian random matrices." Journal of Mathematical Physics 66, no. 8 (2025).