Matches in SemOpenAlex for { <https://semopenalex.org/work/W2953329624> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W2953329624 abstract "Let $|A|_{p,q}$ be the norm induced on the matrix $A$ with $n$ rows and $m$ columns by the Holder $ell_p$ and $ell_q$ norms on $R^n$ and $R^m$ (or $C^n$ and $C^m$), respectively. It is easy to find an upper bound for the ratio $|A|_{r,s}/|A|_{p,q}$. In this paper we study the classes of matrices for which the upper bound is attained. We shall show that for fixed $A$, attainment of the bound depends only on the signs of $r-p$ and $s-q$. Various criteria depending on these signs are obtained. For the special case $p=q=2$, the set of all matrices for which the bound is attained is generated by means of singular value decompositions." @default.
- W2953329624 created "2019-06-27" @default.
- W2953329624 creator A5008429797 @default.
- W2953329624 creator A5090214319 @default.
- W2953329624 date "1998-03-13" @default.
- W2953329624 modified "2023-09-27" @default.
- W2953329624 title "On matrices for which norm bounds are attained" @default.
- W2953329624 cites W1978947345 @default.
- W2953329624 cites W2020804487 @default.
- W2953329624 cites W2610857016 @default.
- W2953329624 hasPublicationYear "1998" @default.
- W2953329624 type Work @default.
- W2953329624 sameAs 2953329624 @default.
- W2953329624 citedByCount "0" @default.
- W2953329624 crossrefType "posted-content" @default.
- W2953329624 hasAuthorship W2953329624A5008429797 @default.
- W2953329624 hasAuthorship W2953329624A5090214319 @default.
- W2953329624 hasConcept C106487976 @default.
- W2953329624 hasConcept C109282560 @default.
- W2953329624 hasConcept C114614502 @default.
- W2953329624 hasConcept C121332964 @default.
- W2953329624 hasConcept C134306372 @default.
- W2953329624 hasConcept C135598885 @default.
- W2953329624 hasConcept C158693339 @default.
- W2953329624 hasConcept C17744445 @default.
- W2953329624 hasConcept C185592680 @default.
- W2953329624 hasConcept C191795146 @default.
- W2953329624 hasConcept C199539241 @default.
- W2953329624 hasConcept C2988629283 @default.
- W2953329624 hasConcept C33923547 @default.
- W2953329624 hasConcept C41008148 @default.
- W2953329624 hasConcept C43617362 @default.
- W2953329624 hasConcept C62520636 @default.
- W2953329624 hasConcept C77088390 @default.
- W2953329624 hasConcept C77553402 @default.
- W2953329624 hasConcept C92207270 @default.
- W2953329624 hasConceptScore W2953329624C106487976 @default.
- W2953329624 hasConceptScore W2953329624C109282560 @default.
- W2953329624 hasConceptScore W2953329624C114614502 @default.
- W2953329624 hasConceptScore W2953329624C121332964 @default.
- W2953329624 hasConceptScore W2953329624C134306372 @default.
- W2953329624 hasConceptScore W2953329624C135598885 @default.
- W2953329624 hasConceptScore W2953329624C158693339 @default.
- W2953329624 hasConceptScore W2953329624C17744445 @default.
- W2953329624 hasConceptScore W2953329624C185592680 @default.
- W2953329624 hasConceptScore W2953329624C191795146 @default.
- W2953329624 hasConceptScore W2953329624C199539241 @default.
- W2953329624 hasConceptScore W2953329624C2988629283 @default.
- W2953329624 hasConceptScore W2953329624C33923547 @default.
- W2953329624 hasConceptScore W2953329624C41008148 @default.
- W2953329624 hasConceptScore W2953329624C43617362 @default.
- W2953329624 hasConceptScore W2953329624C62520636 @default.
- W2953329624 hasConceptScore W2953329624C77088390 @default.
- W2953329624 hasConceptScore W2953329624C77553402 @default.
- W2953329624 hasConceptScore W2953329624C92207270 @default.
- W2953329624 hasLocation W29533296241 @default.
- W2953329624 hasOpenAccess W2953329624 @default.
- W2953329624 hasPrimaryLocation W29533296241 @default.
- W2953329624 hasRelatedWork W149319804 @default.
- W2953329624 hasRelatedWork W1570328429 @default.
- W2953329624 hasRelatedWork W1590967512 @default.
- W2953329624 hasRelatedWork W1966115134 @default.
- W2953329624 hasRelatedWork W1991152937 @default.
- W2953329624 hasRelatedWork W1996575865 @default.
- W2953329624 hasRelatedWork W1998984195 @default.
- W2953329624 hasRelatedWork W2014780161 @default.
- W2953329624 hasRelatedWork W2039862726 @default.
- W2953329624 hasRelatedWork W2071228820 @default.
- W2953329624 hasRelatedWork W2135562106 @default.
- W2953329624 hasRelatedWork W2394902090 @default.
- W2953329624 hasRelatedWork W2404569065 @default.
- W2953329624 hasRelatedWork W2565613387 @default.
- W2953329624 hasRelatedWork W2614126625 @default.
- W2953329624 hasRelatedWork W2936487427 @default.
- W2953329624 hasRelatedWork W2951669000 @default.
- W2953329624 hasRelatedWork W2963193394 @default.
- W2953329624 hasRelatedWork W2974476133 @default.
- W2953329624 hasRelatedWork W2510872293 @default.
- W2953329624 isParatext "false" @default.
- W2953329624 isRetracted "false" @default.
- W2953329624 magId "2953329624" @default.
- W2953329624 workType "article" @default.