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- Zhaojun Bai, Daniel Skoogh
- 2003

A Krylov subspace based projection method is presented for model reduction of large scale bilinear systems. A reduced bilinear system is constructed in such a way that it matches a desired number of moments of multivariable transfer functions corresponding to the kernels of Volterra series representation of the original system. Applications to the… (More)

- Zhaojun Bai, Daniel Skoogh
- 2002

Means of applying Krylov subspace techniques for adaptively extracting accurate reduced-order models of large-scale nonlinear dynamical systems is a relatively open problem. There has been much current interest in developing such techniques. We focus on a bi-linearization method, which extends Krylov subspace techniques for linear systems. In this approach,… (More)

- Axel Ruhe, Daniel Skoogh
- PARA
- 1998

Rational Krylov is an extension of the Lanczos or Arnoldi eigenvalue algorithm where several shifts (matrix factorizations) are performed in one run. A variant has been developed, where these factoriza-tions are performed in parallel. It is shown how Rational Krylov can be used to nd a reduced order model of a large linear dynamical system. In Electrical… (More)

- Daniel Skoogh
- 1998

An algorithm to compute a reduced-order model of a linear dynamic system is described. It is based on the rational Krylov method, which is an extension of the shift-and-invert Arnoldi method where several shifts (interpolation points) are used to compute an orthonormal basis for a sub-space. It is discussed how to generate a reduced-order model of a linear… (More)

Avhandling ffr teknologie doktorsexamen i numerisk analys vid Chalmers Tekniska HHgskola. Abstract New variants of Krylov subspace methods for numerical solution of linear systems, eigenvalue, and model order reduction problems are described. A new method to solve linear systems of equations with several right-hand sides is described. It uses the basis from… (More)

- Daniel Skoogh
- PARA
- 1998

An implementation of a parallel rational Krylov method for the gen-eralised matrix eigenvalue problem is discussed. The implementation has been done on a MIMD computer and a cluster of workstations. The rational Krylov algorithm is an extension of the shift-and-invert Arnoldi method where several shifts are used to compute basis vectors for one subspace. In… (More)

- Daniel Skoogh
- 1998

A new method to solve linear systems of equations with several right-hand sides is described. It uses the basis from a previous solution to reduce the number of matrix vector products needed to solve a linear system of equations with a new right-hand side. It builds up a subspace of a union of Krylov spaces. Some numerical examples are given where variants… (More)

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