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» On the complexity of inverting integer and polynomial matric...
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TIT
2010
98views Education» more  TIT 2010»
12 years 11 months ago
QR decomposition of Laurent polynomial matrices sampled on the unit circle
Abstract--We consider Laurent polynomial (LP) matrices defined on the unit circle of the complex plane. QR decomposition of an LP matrix A(s) yields QR factors Q(s) and R(s) that, ...
Davide Cescato, Helmut Bölcskei
ISSAC
1997
Springer
157views Mathematics» more  ISSAC 1997»
13 years 8 months ago
On the Worst-case Complexity of Integer Gaussian Elimination
Gaussian elimination is the basis for classical algorithms for computing canonical forms of integer matrices. Experimental results have shown that integer Gaussian elimination may...
Xin Gui Fang, George Havas
ISSAC
2007
Springer
131views Mathematics» more  ISSAC 2007»
13 years 10 months ago
Some recent progress in exact linear algebra and related questions
We describe some major recent progress in exact and symbolic linear algebra. These advances concern the improvement of complexity estimates for fundamental problems such as linear...
Gilles Villard
COCO
2011
Springer
217views Algorithms» more  COCO 2011»
12 years 4 months ago
Noisy Interpolation of Sparse Polynomials, and Applications
Let f ∈ Fq[x] be a polynomial of degree d ≤ q/2. It is well-known that f can be uniquely recovered from its values at some 2d points even after some small fraction of the valu...
Shubhangi Saraf, Sergey Yekhanin
FLOPS
2004
Springer
13 years 10 months ago
A Brief Survey of Quantum Programming Languages
Abstract. This article is a brief and subjective survey of quantum programming language research. 1 Quantum Computation Quantum computing is a relatively young subject. It has its ...
Peter Selinger