Neumann series

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo bounded linear operators
gptkbp:convergesTo operator norm is less than 1
gptkbp:describes sum of an infinite series of operators
gptkbp:field functional analysis
linear algebra
gptkbp:form (I - A)^{-1} = I + A + A^2 + A^3 + ...
gptkbp:generalizes gptkb:geometric_series
https://www.w3.org/2000/01/rdf-schema#label Neumann series
gptkbp:namedAfter gptkb:John_von_Neumann
gptkbp:relatedTo gptkb:Hilbert_space
resolvent operator
gptkbp:usedFor solving linear equations
gptkbp:bfsParent gptkb:Carl_Neumann
gptkbp:bfsLayer 5