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- Henry Markram, Eilif Muller, +79 authors Felix Schürmann
- Cell
- 2015

UNLABELLED
We present a first-draft digital reconstruction of the microcircuitry of somatosensory cortex of juvenile rat. The reconstruction uses cellular and synaptic organizing principles to algorithmically reconstruct detailed anatomy and physiology from sparse experimental data. An objective anatomical method defines a neocortical volume of 0.29 ± 0.01… (More)

- Guy Antoine Atenekeng Kahou, Laura Grigori, Masha Sosonkina
- Parallel Computing
- 2008

We present a graph partitioning algorithm that aims at partitioning a sparse matrix into a block-diagonal form, such that any two consecutive blocks overlap. We denote this form of the matrix as the overlapped block-diagonal matrix. The partitioned matrix is suitable for applying the explicit formulation of Multiplicative Schwarz preconditioner (EFMS)… (More)

We present an explicit formulation of the splitting associated with the Mutiplicative Schwartz iteration. We give an implementation of the new formulation on a parallel computer and show its advantages when used as a preconditionner for a Krylov method. In the paper the implementation is described in PETCs standard. Domain decomposition provides a class of… (More)

The GMRES(m) method. In this talk, we consider the gmres(m) method the large linear system Ax = b (1) A ∈ R n×n , b ∈ R n. For the gmres(m) to be efficient, system (1) needs be preconditioned. The computational kernel of each gmres(m) iteration consists of the following two modules : • x → Ax : matrix vector product (total of m) ; • construction of the… (More)

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