Computational aspect to the nearest southeast submatrix that makes multiple a prescribed eigenvalue

Subject Areas : History and biography

A. Nazari ¹ , A. Nezami ²

1 - Department of Mathematics, Arak University, P.O. Box 38156-8-8349, Arak, Iran
2 - Department of Mathematics, Arak University, P.O. Box 38156-8-8349, Arak, Iran

Received: 2016-11-01 Accepted : 2017-04-18 Published : 2017-03-01

Keywords:

References:

[1] J. M. Gracia, F. E. Velasco, Nearesrt Southeast Submatrix that makes multiple a prescribed eigenvalue. Part 1, Linear Algebra Appl. 430 (2009) 1196-1215.

[2] Kh.D. Ikramov, A.M. Nazari, Computational aspects of the use of Malyshev's formula, Zh. Vychisl. Mat. Mat. Fiz. 44 (1) (2004), 3-7.

[3] R. A. Lippert, Fixing two eigenvalues by a minimal perturbation, Linear Algebra Appl. 406 (2005), 177-200.

[4] A. N. Malyshev, A formula for the 2-norm distance from a matrix to the set of matrices with multiple eigenvalues, Numer. Math. 83 (1999), 443-454.

[5] A.M. Nazari, D. Rajabi, Computational aspect to the nearest matrix with two prescribed eigenvalues, Linear Algebra Appl. 432 (2010), 1-4.