
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).