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Vector Spaces of Linearizations for Matrix Polynomials

- D. S. Mackey, N. Mackey, C. Mehl, V. Mehrmann
- Mathematics, Computer Science
- SIAM J. Matrix Anal. Appl.
- 1 December 2006

TLDR

293 37- PDF

Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations

- D. S. Mackey, N. Mackey, C. Mehl, V. Mehrmann
- Mathematics, Computer Science
- SIAM J. Matrix Anal. Appl.
- 1 December 2006

TLDR

249 19- PDF

ON THE SOLUTION OF PALINDROMIC EIGENVALUE PROBLEMS

- A. Hilliges, C. Mehl, V. Mehrmann
- Mathematics
- 2004

A rational eigenvalue problem of the form 1 (A T + •A0 + • 2 A1)x = 0 arising in the vibration analysis of rail tracks under periodic excitation is investigated. This eigenvalue problem is a special… Expand

87 6

Jordan structures of alternating matrix polynomials

- D. S. Mackey, N. Mackey, C. Mehl, V. Mehrmann
- Mathematics
- 1 February 2010

Alternating matrix polynomials, that is, polynomials whose coefficients alternate between symmetric and skew-symmetric matrices, generalize the notions of even and odd scalar polynomials. We… Expand

43 5- PDF

Smith Forms of Palindromic Matrix Polynomials

- D. S. Mackey, N. Mackey, C. Mehl, V. Mehrmann
- Mathematics
- 2011

Many applications give rise to matrix polynomials whose coefficients have a kind of reversal symmetry,
a structure we call palindromic.
Several properties of scalar palindromic polynomials
are… Expand

48 4- PDF

Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations

- C. Mehl, V. Mehrmann, A. Ran, L. Rodman
- Mathematics
- 1 August 2011

Abstract udy the perturbation theory of structured matrices under structured rank one perturbations, and then focus on several classes of complex matrices. Generic Jordan structures of perturbed… Expand

52 3- PDF

Skew-symmetric matrix polynomials and their Smith forms

- D. S. Mackey, N. Mackey, C. Mehl, V. Mehrmann
- Mathematics
- 15 June 2013

We characterize the Smith form of skew-symmetric matrix polynomials over an arbitrary field $\F$,
showing that all elementary divisors occur with even multiplicity.
Restricting the class of… Expand

32 3- PDF

Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form

- D. S. Mackey, N. Mackey, C. Mehl, V. Mehrmann
- Mathematics, Computer Science
- Numer. Linear Algebra Appl.
- 2009

TLDR

59 2- PDF

Condensed Forms for Skew-Hamiltonian/Hamiltonian Pencils

- C. Mehl
- Mathematics, Computer Science
- SIAM J. Matrix Anal. Appl.
- 21 October 1999

TLDR

56 2- PDF

Compatible lie and Jordan algebras and applications to structured matrices and pencils

- C. Mehl
- Mathematics
- 1999

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