2026 Roland W. Freund: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	46	1326	1134	597	473	101	12734

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1326

1134

597

473

101

12734

Overview

Roland W. Freund is affiliated with the University of California, Davis, located in the United States. Their research spans multiple scientific disciplines with contributions documented across computer science, physics and astronomy, as well as engineering.

Their primary fields of study include:

Computer Science
Physics and Astronomy
Engineering

Within these broad fields, their work extends into specialized subfields such as:

Computational Theory and Mathematics
Atomic and Molecular Physics, and Optics
Electrical and Electronic Engineering

The main topics covered in their research involve:

Matrix Theory and Algorithms
Electromagnetic Scattering and Analysis
Low-power high-performance VLSI design

This indicates an interdisciplinary approach, bridging theoretical and applied aspects of science and engineering. The focus on matrix theory and algorithms suggests engagement with mathematical foundations critical in computational methods.

Simultaneously, work in electromagnetic scattering and analysis aligns with research in physics and electrical engineering, particularly in areas related to the interaction of electromagnetic waves with materials.

The interest in low-power high-performance VLSI design reflects contributions to advancing electronic circuit design with considerations of efficiency and performance, relevant to modern hardware engineering.

Best Publications

Efficient linear circuit analysis by Pade approximation via the Lanczos process

P. Feldmann;R.W. Freund

1763
Citations
QMR: a quasi-minimal residual method for non-Hermitian linear systems

Roland W. Freund;Noël M. Nachtigal

1622
Citations
A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems

Roland W. Freund

980
Citations
Iterative solution of linear systems

Roland W. Freund;Gene H. Golub;Noel M. Nachtigal

766
Citations
Krylov-subspace methods for reduced-order modeling in circuit simulation

Roland W. Freund

569
Citations
Conjugate gradient-type methods for linear systems with complex symmetric coefficient matrices

Roland W. Freund

542
Citations
An implementation of the look-ahead Lanczos algorithm for non-Hermitian matrices

Roland W. Freund;Martin H. Gutknecht;Noël M. Nachtigal

527
Citations
Model reduction methods based on Krylov subspaces

Roland W. Freund

464
Citations
An implementation of the QMR method based on coupled two-term recurrences

Roland W. Freund;Noël M. Nachtigal

343
Citations
Reduced-Order Modeling of Large Linear Subcircuits via a Block Lanczos Algorithm

P. Feldmann;R. W. Freund

310
Citations
SPRIM: structure-preserving reduced-order interconnect macromodeling

R. W. Freund

288
Citations
Solving the Sum-of-Ratios Problem by an Interior-Point Method

Roland W. Freund;Florian Jarre

256
Citations
A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides

Roland W. Freund;Manish Malhotra

238
Citations
Reduced-Order Modeling Techniques Based on Krylov Subspaces and Their Use in Circuit Simulation

Roland W. Freund

218
Citations
A new Krylov-subspace method for symmetric indefinite linear systems

R.W. Freund;N.M. Nachtigal

163
Citations
Software for simplified Lanczos and QMR algorithms

Roland W. Freund;Noël M. Nachtigal

163
Citations
Reduced-order modeling of large passive linear circuits by means of the SYPVL algorithm

R. W. Freund;P. Feldmann

159
Citations
A Lanczos-type method for multiple starting vectors

J. I. Aliaga;D. L. Boley;R. W. Freund;V. Hernández

152
Citations
On conjugate gradient type methods and polynomial preconditioners for a class of complex non-hermitian matrices

Roland Freund

126
Citations
An extension of the positive real lemma to descriptor systems

Roland W. Freund;Florian Jarre

125
Citations

Frequent Co-Authors

Zhaojun Bai University of California, Davis

Gene H. Golub Stanford University

Tin Kam Ho IBM (United States)

Danny C. Sorensen Rice University

Peter Benner Max Planck Institute for Dynamics of Complex Technical Systems

Yousef Saad University of Minnesota

Peter Deuflhard Zuse Institute Berlin

Richard B. Lehoucq Sandia National Laboratories

Michele Benzi Scuola Normale Superiore di Pisa

Howard C. Elman University of Maryland, College Park

External Links

Personal website of Roland W. Freund Google Scholar page

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