#### Filter Results:

- Full text PDF available (42)

#### Publication Year

1988

2016

- This year (0)
- Last 5 years (13)
- Last 10 years (28)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Christian H. Bischof, Bruno Lang, Xiaobai Sun
- ACM Trans. Math. Softw.
- 2000

We develop an algorithmic framework for reducing the bandwidth of symmetric matrices via orthogonal similarity transformations. This framework includes the reduction of full matrices to banded or tridiagonal form and the reduction of banded matrices to narrower banded or tridiagonal form, possibly in multiple steps. Our framework leads to algorithms that… (More)

- Christian H. Bischof, Bruno Lang, Xiaobai Sun
- ACM Trans. Math. Softw.
- 2000

We present a software toolbox for symmetric band reduction via orthogonal transformations, together with a testing and timing program. The toolbox contains drivers and computational routines for the reduction of full symmetric matrices to banded form and the reduction of banded matrices to narrower banded or tridiagonal form, with optional accumulation of… (More)

- Thomas Auckenthaler, Volker Blum, +6 authors Paul R. Willems
- Parallel Computing
- 2011

The computation of selected eigenvalues and eigenvectors of a symmetric (Hermitian) matrix is an important subtask in many contexts, for example in electronic structure calculations. If a significant portion of the eigensystem is required then typically direct eigensolvers are used. The central three steps are: reduce the matrix to tridiagonal form, compute… (More)

- Bruno Lang
- SIAM J. Scientific Computing
- 1993

- Bruno Lang
- SIAM J. Scientific Computing
- 1998

- Bruno Lang
- Parallel Computing
- 1996

- B. Großer, Bruno Lang
- Parallel Computing
- 1999

We present a two-step variant of the \successive band reduction" paradigm for the tridiagonalization of symmetric matrices. Here we reduce a full matrix rst to narrow-banded form and then to tridiagonal form. The rst step allows easy exploitation of block orthogonal transformations. In the second step, we employ a new blocked version of a banded matrix… (More)

- Bruno Lang
- Parallel Computing
- 1999