Russell Carden

Department of Computational and Applied Mathematics – MS 134
Rice 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., to appear.

• "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.

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