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JC
2008
77views more  JC 2008»
13 years 7 months ago
A numerical algorithm for zero counting, I: Complexity and accuracy
We describe an algorithm to count the number of distinct real zeros of a polynomial (square) system f. The algorithm performs O(log(nD(f))) iterations (grid refinements) where n is...
Felipe Cucker, Teresa Krick, Gregorio Malajovich, ...
ARITH
2009
IEEE
14 years 1 months ago
A Dual-Purpose Real/Complex Logarithmic Number System ALU
—The real Logarithmic Number System (LNS) allows fast and inexpensive multiplication and division but more expensive addition and subtraction as precision increases. Recent advan...
Mark G. Arnold, Sylvain Collange
CORR
2007
Springer
79views Education» more  CORR 2007»
13 years 7 months ago
Type-II/III DCT/DST algorithms with reduced number of arithmetic operations
We present algorithms for the discrete cosine transform (DCT) and discrete sine transform (DST), of types II and III, that achieve a lower count of real multiplications and additi...
Xuancheng Shao, Steven G. Johnson
CORR
2007
Springer
93views Education» more  CORR 2007»
13 years 7 months ago
Type-IV DCT, DST, and MDCT algorithms with reduced numbers of arithmetic operations
We present algorithms for the type-IV discrete cosine transform (DCT-IV) and discrete sine transform (DST-IV), as well as for the modified discrete cosine transform (MDCT) and it...
Xuancheng Shao, Steven G. Johnson
EUC
2004
Springer
14 years 10 days ago
Experimental Assessment of Scenario-Based Multithreading for Real-Time Object-Oriented Models: A Case Study with PBX Systems
This paper presents an experimental evaluation of our scenario-based multithreading for real-time object-oriented models by the use of a case study of a Private Branch eXchange (PB...
Saehwa Kim, Michael Buettner, Mark Hermeling, Seon...