TY - GEN
T1 - Computing the minkowski value of the exponential function over a complex disk
AU - Choi, Hyeong In
AU - Farouki, Rida T.
AU - Han, Chang Yong
AU - Moon, Hwan Pyo
PY - 2008
Y1 - 2008
N2 - Basic concepts, results, and applications of the Minkowski geometric algebra of complex sets are briefly reviewed, and preliminary ideas on its extension to evaluating transcendental functions of complex sets are discussed. Specifically, the Minkowski value of the exponential function over a disk in the complex plane is considered, as the limit of partial-sum sets defined by the monomial or Horner evaluation schemes.
AB - Basic concepts, results, and applications of the Minkowski geometric algebra of complex sets are briefly reviewed, and preliminary ideas on its extension to evaluating transcendental functions of complex sets are discussed. Specifically, the Minkowski value of the exponential function over a disk in the complex plane is considered, as the limit of partial-sum sets defined by the monomial or Horner evaluation schemes.
UR - http://www.scopus.com/inward/record.url?scp=55249127330&partnerID=8YFLogxK
U2 - 10.1007/978-3-540-87827-8_1
DO - 10.1007/978-3-540-87827-8_1
M3 - Conference contribution
AN - SCOPUS:55249127330
SN - 3540878262
SN - 9783540878261
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 1
EP - 21
BT - Computer Mathematics - 8th Asian Symposium, ASCM 2007, Revised and Invited Papers
T2 - 8th Asian Symposium on Computer Mathematics, ASCM 2007
Y2 - 15 December 2007 through 17 December 2007
ER -