2017.23: Linearizations of Matrix Polynomials in Newton Bases
2017.23: Vasilije Perovic and D. Steven Mackey (2017) Linearizations of Matrix Polynomials in Newton Bases.
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We discuss matrix polynomials expressed in a Newton basis, and the associated polynomial eigenvalue problems. Properties of the generalized ansatz spaces associated with such polynomials are proved directly by utilizing a novel representation of pencils in these spaces. Also, we show how the family of Fiedler pencils can be adapted to matrix polynomials expressed in a Newton basis. These new Newton-Fiedler pencils are shown to be strong linearizations, and some computational aspects related to them are discussed.
|Item Type:||MIMS Preprint|
|Uncontrolled Keywords:||matrix polynomial, Newton bases, strong linearization, Newton-Fiedler pencil, ansatz space, updating|
|Subjects:||MSC 2000 > 15 Linear and multilinear algebra; matrix theory|
MSC 2000 > 41 Approximations and expansions
MSC 2000 > 65 Numerical analysis
|Deposited By:||Dr. D. Steven Mackey|
|Deposited On:||18 July 2017|