zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
The interval Lyapunov matrix equation: analytical results and an efficient numerical technique for outer estimation of the united solution set. (English) Zbl 1255.15002
Summary: This note tries to propose an efficient method for obtaining outer estimations for the so-called united solution set of the interval Lyapunov matrix equation 𝐀X+X𝐀 T =𝐅, where 𝐀 and 𝐅 are known real interval matrices while X is the unknown matrix; all of dimension n×n. We first explore the equation in the more general setting of AE-solution sets, and show that only a small part of Shary’s results on the AE-solution sets of interval linear systems can be generalized to the interval Lyapunov matrix equation. Then, we propose our modification of Krawczyk operator which enables us to reduce the computational complexity of obtaining an outer estimation for the united solution set to cubic, provided that the midpoint of 𝐀 is diagonalizable.
MSC:
15A06Linear equations (linear algebra)
65F30Other matrix algorithms
65G40General methods in interval analysis
Software:
INTLAB