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Computer Arithmetic and Validity
book

Computer Arithmetic and Validity

by Ulrich Kulisch
April 2013
Intermediate to advanced content levelIntermediate to advanced
456 pages
16h 7m
English
De Gruyter
Content preview from Computer Arithmetic and Validity
132 Chapter 4 Interval arithmetic
CISCID
CIS
ICD
CS
ICS
4.5
2.5
4.5
2.5
4.20
3.7
D
ID
2.7
2.7
3.7
4.20
S
IS
2.7
CD

CID
3.10 3.10
4.27 4.27
3.10 3.10
CR
ICR
PCR
CIR
IRPR
R
Figure 4.5. Complex interval arithmetic.
4.8 Complex interval matrices and interval vectors
We now consider complex interval matrices. Again, let R be the linearly ordered
ringoid of real numbers, C its complexification, and fIC,
+
,
, g the completely
and weakly ordered ringoid of intervals over C (Theorem 4.5). By Theorem 2.6, the
set o f n n-matrices fM
n
C, C, , g also forms a completely and weakly ordered
ringoid.
We consider the ringoid fPM
n
C, C, g corresponding to the power set of M
n
C
(Theorem 2.5).
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Publisher Resources

ISBN: 9783110301731