Skip to Main Content
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
Section 6.11 The level 2 operations 231
Table 6.4. Table of intersections a nd interval hulls between the ba sic interval types.
N
[
\ IF CIF
IF IF CIF
CIF
CIF CIF
We have now completed our definition and discussion of the inner and mixed oper-
ations for the five basic data sets. We are now going to define operations for matrices
and vectors of these sets. All arithmetic operations are again defined by semimor-
phism.
Let T be one of the sets (types) Z, F, CF, IF, CIF. We denote the set of m n
matrices with components of T by
M
mn
T :Df.a
ij
/ j a
ij
2 T for i D 1.1 /m ^ j D 1.1/ng.
In M
mn
T we define operations ı : M
mn
T M
mn
T ! M
mn
T by
^
.a
ij
/.b
ij
/2M
mn
T
.a
ij
/ ı .b
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Arithmetic and Logic in Computer Systems

Arithmetic and Logic in Computer Systems

Mi Lu
Interval Analysis

Interval Analysis

Günter Mayer

Publisher Resources

ISBN: 9783110301731