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» Properties and computations of matrix pseudospectra
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CSL
2005
Springer
15 years 5 months ago
Feasible Proofs of Matrix Properties with Csanky's Algorithm
We show that Csanky’s fast parallel algorithm for computing the characteristic polynomial of a matrix can be formalized in the logical theory LAP, and can be proved correct in LA...
Michael Soltys
ICS
1999
Tsinghua U.
15 years 4 months ago
High-level semantic optimization of numerical codes
This paper presents a mathematical framework to exploit the semantic properties of matrix operations in loop-based numerical codes. The heart of this framework is an algebraic lan...
Vijay Menon, Keshav Pingali
FOCS
2008
IEEE
15 years 1 days ago
Matrix Sparsification for Rank and Determinant Computations via Nested Dissection
The nested dissection method developed by Lipton, Rose, and Tarjan is a seminal method for quickly performing Gaussian elimination of symmetric real positive definite matrices who...
Raphael Yuster
BMCBI
2010
154views more  BMCBI 2010»
14 years 9 months ago
Knowledge-based matrix factorization temporally resolves the cellular responses to IL-6 stimulation
Background: External stimulations of cells by hormones, cytokines or growth factors activate signal transduction pathways that subsequently induce a re-arrangement of cellular gen...
Andreas Kowarsch, Florian Blöchl, Sebastian B...
ECCV
2000
Springer
16 years 1 months ago
On the Structure and Properties of the Quadrifocal Tensor
The quadrifocal tensor which connects image measurements along 4 views is not yet well understood as its counterparts the fundamental matrix and the trifocal tensor. This paper es...
Amnon Shashua, Lior Wolf