Search Results - "Freund, Roland W"

Computing Fundamental Matrix Decompositions Accurately via the Matrix Sign Function in Two Iterations: The Power of Zolotarev's Functions by Nakatsukasa, Yuji, Freund, Roland W.

“…The symmetric eigenvalue decomposition and the singular value decomposition (SVD) are fundamental matrix decompositions with many applications. Conventional…”
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Solving the Sum-of-Ratios Problem by an Interior-Point Method by Freund, Roland W, Jarre, Florian

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Nonlinear semidefinite programming : sensitivity, convergence, and an application in passive reduced-order modeling by FREUND, Roland W, JARRE, Florian, VOGELBUSCH, Christoph H

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Krylov-subspace methods for reduced-order modeling in circuit simulation by Freund, Roland W.

“…The simulation of electronic circuits involves the numerical solution of very large-scale, sparse, in general nonlinear, systems of differential-algebraic…”
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Nonlinear semidefinite programming: sensitivity, convergence, and an application in passive reduced-order modeling by Freund, Roland W, Jarre, Florian, Vogelbusch, Christoph H

“…We consider the solution of nonlinear programs with nonlinear semidefiniteness constraints. The need for an efficient exploitation of the cone of positive…”
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On Padé-type model order reduction of J-Hermitian linear dynamical systems by Freund, Roland W.

“…A simple, yet powerful approach to model order reduction of large-scale linear dynamical systems is to employ projection onto block Krylov subspaces. The…”
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A new fast hybrid adaptive grid generation technique for arbitrary two-dimensional domains by Ebeida, Mohamed S., Davis, Roger L., Freund, Roland W.

“…This paper describes a new fast hybrid adaptive grid generation technique for arbitrary two‐dimensional domains. This technique is based on a Cartesian…”
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Efficient linear circuit analysis by Pade approximation via the Lanczos process by Feldmann, P., Freund, R.W.

“…In this paper, we introduce PVL, an algorithm for computing the Pade approximation of Laplace-domain transfer functions of large linear networks via a Lanczos…”
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Convergence of a Class of Inexact Interior-Point Algorithms for Linear Programs by Freund, Roland W, Jarre, Florian, Mizuno, Shinji

“…We present a convergence analysis for a class of inexact infeasible-interior-point methods for solving linear programs. The main feature of inexact methods is…”
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Special issue on “Order reduction of large-scale systems” by Benner, Peter, Freund, Roland W., Sorensen, Danny C., Varga, Andras

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Krylov subspaces associated with higher-order linear dynamical systems by FREUND, Roland W

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Software for simplified Lanczos and QMR algorithms by Freund, Roland W., Nachtigal, Noël M.

“…The nonsymmetric Lanczos process simplifies when applied to J-symmetric and J-Hermitian matrices, and work and storage requirements are roughly halved compared…”
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Iterative solution of multiple radiation and scattering problems in structural acoustics using a block quasi-minimal residual algorithm by Malhotra, Manish, Freund, Roland W, Pinsky, Peter M

“…Finite-element discretizations of time-harmonic acoustic wave problems in exterior domains result in large sparse systems of linear equations with complex…”
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A QMR-based interior-point algorithm for solving linear programs by FREUND, R. W, JARRE, F

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SPRIM: structure-preserving reduced-order interconnect macromodeling by Freund, R. W.

“…In recent years, order-reduction techniques based on Krylov subspaces have become the methods of choice for generating macromodels of large multi-port RLC…”
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Simulation of power evolution and control dynamics in optical transport systems by Ho, Tin Kam, Salamon, Todd, Freund, Roland W., White, Christopher A., Hillyer, Bruce K., Cowsar, Lawrence C., Nuzman, Carl J., Kilper, Daniel C.

“…The design and analysis of control strategies for high-capacity, reconfigurable optical transmission systems require an understanding of optical system…”
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Small-signal circuit analysis and sensitivity computations with the PVL algorithm by Freund, R.W., Feldmann, P.

“…We describe the application of the PVL algorithm to the small-signal analysis of circuits, including sensitivity computations. The PVL algorithm is based on…”
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Circuit noise evaluation by Pade approximation based model-reduction techniques by Feldmann, Peter, Freund, Roland W

“…This paper introduces a new circuit noise analysis and modeling method. The noise analysis method computes an analytic expression of frequency, in rational…”
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An extension of the positive real lemma to descriptor systems by Freund, Roland W., Jarre, Florian

“…The well-known positive real lemma characterizes positive realness of transfer functions of time-invariant linear systems via the solvability of certain linear…”
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A partial Padé-via-Lanczos method for reduced-order modeling by Bai, Zhaojun, Freund, Roland W.

“…The classical Lanczos process can be used to efficiently generate Padé approximants of the transfer function of a given single-input single-output…”
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