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COCO
2003
Springer
93views Algorithms» more  COCO 2003»
14 years 28 days ago
The complexity of stochastic sequences
We review and slightly strengthen known results on the Kolmogorov complexity of prefixes of effectively random sequences. First, there are recursively random random sequences su...
Wolfgang Merkle
DAGSTUHL
2008
13 years 9 months ago
Real Algebraic Numbers: Complexity Analysis and Experimentation
Abstract. We present algorithmic, complexity and implementation results concerning real root isolation of a polynomial of degree d, with integer coefficients of bit size , using S...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
TCS
2008
13 years 7 months ago
On the complexity of real root isolation using continued fractions
We present algorithmic, complexity and implementation results concerning real root isolation of integer univariate polynomials using the continued fraction expansion of real algeb...
Elias P. Tsigaridas, Ioannis Z. Emiris
COCO
2005
Springer
80views Algorithms» more  COCO 2005»
14 years 1 months ago
New Results on the Complexity of the Middle Bit of Multiplication
It is well known that the hardest bit of integer multiplication is the middle bit, i.e. MULn−1,n. This paper contains several new results on its complexity. First, the size s of...
Ingo Wegener, Philipp Woelfel
SIAMMAX
2011
180views more  SIAMMAX 2011»
13 years 2 months ago
Computing Characteristic Polynomials from Eigenvalues
Abstract. This paper concerns the computation of the coefficients ck of the characteristic polynomial of a real or complex matrix A. We analyze the forward error in the coefficient...
Rizwana Rehman, Ilse C. F. Ipsen