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- Ed Anderson, Zhaojun Bai, +7 authors Danny C. Sorensen
- Proceedings SUPERCOMPUTING '90
- 1990

The goal of the LAPACK project is to design and implement a portable linear algebra library for efficient use on a variety of high-performance computers. The library is based on the widely usedâ€¦ (More)

- Zhaojun Bai, James Demmel
- International Journal of High Speed Computing
- 1989

The usual QR algorithm for finding the eigenvalues of a Hessenberg matrix H is based on vector-vector operations, e.g. adding a multiple of one row to another. The opportunities for parallelism inâ€¦ (More)

- Zhaojun Bai
- 2002

In recent years, a great deal of attention has been devoted to Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems. The surge of interest was triggered by theâ€¦ (More)

- Sourav Chatterji, Ichitaro Yamazaki, Zhaojun Bai, Jonathan A. Eisen
- RECOMB
- 2008

A major hindrance to studies of microbial diversity has been that the vast majority of microbes cannot be cultured in the laboratory and thus are not amenable to traditional methods ofâ€¦ (More)

- Zhaojun Bai, James Demmel
- PPSC
- 1993

The dense nonsymmetric eigenproblem is one of the hardest linear algebra problems to solve e ectively on massively parallel machines. Rather than trying to design a \black box" eigenroutine in theâ€¦ (More)

- Zhaojun Bai, Yangfeng Su
- SIAM J. Scientific Computing
- 2005

A structure-preserving dimension reduction algorithm for large-scale second-order dynamical systems is presented. It is a projection method based on a second-order Krylov subspace. A second-orderâ€¦ (More)

- Zhaojun Bai, Yangfeng Su
- SIAM J. Matrix Analysis Applications
- 2005

We first introduce a second-order Krylov subspace Gn(A,B;u) based on a pair of square matrices A and B and a vector u. The subspace is spanned by a sequence of vectors defined via a second-orderâ€¦ (More)

- Zhaojun Bai, James Demmel, Ming Gu
- 1994

We discuss two inverse free, highly parallel, spectral divide and conquer algorithms: one for computing an invariant subspace of a nonsymmetric matrix and another one for computing left and right deâ€¦ (More)

- Yangfeng Su, Jian Wang, Xuan Zeng, Zhaojun Bai, Charles C. Chiang, Dian Zhou
- IEEE/ACM International Conference on Computerâ€¦
- 2004

The recently-introduced susceptance element exhibits many prominent features in modeling the on-chip magnetic couplings. For an RCS circuit, it is better to be formulated as a second-order system.â€¦ (More)

The primary purpose of this collection is to provide a testbed for the development of numerical algorithms for solving nonsymmetric eigenvalue problems. In addition, as with many other existingâ€¦ (More)