Decreasing the Displacement Rank of a Matrix
Copyright policy )Decreasing the Displacement Rank of a Matrix
Für eine \(n\times n\)-Matrix \(S\) sei \(W(S)=S-ZSZ^ T\), wobei \(Z\) nur in der ersten Subdiagonalen Einsen und sonst Nullen aufweist. Zwei \(n\times d\)-Matrizen \(G,H\) werden ein \(d\)-Generator (displacement) von \(S\) der Länge \(d\) genannt, wenn \(W(S)=GH^ T\) erfüllt ist. Die maximale Länge \(d(S)\) einer solchen Darstellung heißt der \(d\)-Rang von \(S\). Verf. konstruiert zu einem \(d\)-Generator \((M,N)\) der Länge \(r\) einer \(n\times n\)-Matrix \(B\) für \(0\leq d
Vector spaces, linear dependence, rank, lineability, displacement rank, Other matrix algorithms, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Hermitian, skew-Hermitian, and related matrices, matrix rank, displacement generator
Vector spaces, linear dependence, rank, lineability, displacement rank, Other matrix algorithms, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Hermitian, skew-Hermitian, and related matrices, matrix rank, displacement generator
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).20 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!