## Russell Carden

Department of Computational and Applied Mathematics – MS 134Rice University

6100 Main St.

Houston, TX 77005-1892

Russell.L.Carden |AT| rice |DOT| edu

Office: DH 3023

Curriculum Vitae PhD Presentation

#### Research Interests

- Eigenvalues and methods for approximating/computing them
- Ritz Values and how they distribute themselves throughout the field of values
- Model Reduction, DEIM

#### Teaching

Spring | 13: | CAAM 335 Matrix Analysis Section 001 |

Fall | 12: | CAAM 453 Numerical Analysis: Section 001 |

Spring | 12: | CAAM 335 Matrix Analysis: Section 001 |

Fall | 11: | CAAM 335 Matrix Analysis: Section 002 |

Spring | 11: | CAAM 335 Matrix Analysis Lab |

Fall | 10: | CAAM 335 Matrix Analysis Lab |

#### Publications

"Ritz value Localization for Non-Hermitian Matrices"

R. Carden and M. Embree

Rice University CAAM Department Technical Report TR12-01 (revised July 2012)

SIAM J. Matrix Anal. Appl. 33-4 (2012), pp. 1320-1338."Ritz values of normal matrices and Ceva's theorem"

R. Carden and D. Hansen

Rice University CAAM Department Technical Report TR11-14(revised August 2012)

Linear Algebra Appl., 438-11 (2013), pp.4114-4129."Ritz values and Arnoldi convergence for non-Hermitian Matrices"

PhD Thesis, August 2011."A simple algorithm for the inverse field of values problem"

Inverse Problems 25 (2009), 115019.

[Selected by publisher for inclusion in IOP Select.]"Ritz values and Arnoldi convergence for nonsymmetric matrices"

Masters Thesis, 2009.- "Sequential iterations for two diagonal preconditioners"

R. Carden and P. Tarazaga

Comput. Math. Appl. 58 (2009), no. 1, 88--94.