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SYNASC
2006
IEEE

Pivot-Free Block Matrix Inversion

10 years 4 months ago
Pivot-Free Block Matrix Inversion
We present a pivot-free deterministic algorithm for the inversion of block matrices. The method is based on the Moore-Penrose inverse and is applicable over certain general classes of rings. This improves on previous methods that required at least one invertible on-diagonal block, and that otherwise required row- or column-based pivoting, disrupting the block structure. Our method is applicable to any invertible matrix and does not require any particular blocks to invertible. This is achieved at the cost of two additional specialized matrix multiplications and, in some cases, requires the inversion to be performed in an extended ring.
Stephen M. Watt
Added 12 Jun 2010
Updated 12 Jun 2010
Type Conference
Year 2006
Where SYNASC
Authors Stephen M. Watt
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