Matches in SemOpenAlex for { <https://semopenalex.org/work/W2149694502> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W2149694502 endingPage "1725" @default.
- W2149694502 startingPage "1721" @default.
- W2149694502 abstract "In a number of contexts relevant to control problems, including estimation of robot dynamics, covariance, and smart structure mass and stiffness matrices, we need to solve an overdetermined set of linear equations AX /spl ap/ 8 with the constraint that the matrix X be symmetric and positive definite. In the classical least-squares method, the measurements of A are assumed to be free of error, hence, all errors are confined to B. Thus, the optimal solution is given by minimizing the optimization criterion /spl par/AX /spl par//sub F//sup 2/. However, this assumption is often impractical. Sampling errors, modeling errors, and, sometimes, human errors bring inaccuracies to A as well. In this note, we introduce a different optimization criterion, based on area, which takes the errors in both A and B into consideration. Under the condition that the data matrices A and B are full rank, which in practice is easy to satisfy, the analytic expression of the global optimizer is derived. A method to handle the case that A is full rank and B loses rank is also discussed. Experimental results indicate that the new approach is practical, and improves performance." @default.
- W2149694502 created "2016-06-24" @default.
- W2149694502 creator A5020843331 @default.
- W2149694502 creator A5047318884 @default.
- W2149694502 date "2002-10-01" @default.
- W2149694502 modified "2023-10-17" @default.
- W2149694502 title "Estimation of symmetric positive-definite matrices from imperfect measurements" @default.
- W2149694502 cites W1910084062 @default.
- W2149694502 cites W1973643777 @default.
- W2149694502 cites W1982955687 @default.
- W2149694502 cites W1988152444 @default.
- W2149694502 cites W2007179152 @default.
- W2149694502 cites W2026287238 @default.
- W2149694502 cites W2078328129 @default.
- W2149694502 cites W2078856056 @default.
- W2149694502 cites W2138037582 @default.
- W2149694502 cites W2159229411 @default.
- W2149694502 cites W2912522929 @default.
- W2149694502 cites W37247277 @default.
- W2149694502 cites W4206428854 @default.
- W2149694502 doi "https://doi.org/10.1109/tac.2002.803545" @default.
- W2149694502 hasPublicationYear "2002" @default.
- W2149694502 type Work @default.
- W2149694502 sameAs 2149694502 @default.
- W2149694502 citedByCount "18" @default.
- W2149694502 countsByYear W21496945022012 @default.
- W2149694502 countsByYear W21496945022013 @default.
- W2149694502 countsByYear W21496945022014 @default.
- W2149694502 countsByYear W21496945022015 @default.
- W2149694502 countsByYear W21496945022019 @default.
- W2149694502 countsByYear W21496945022022 @default.
- W2149694502 countsByYear W21496945022023 @default.
- W2149694502 crossrefType "journal-article" @default.
- W2149694502 hasAuthorship W2149694502A5020843331 @default.
- W2149694502 hasAuthorship W2149694502A5047318884 @default.
- W2149694502 hasConcept C105795698 @default.
- W2149694502 hasConcept C106487976 @default.
- W2149694502 hasConcept C11413529 @default.
- W2149694502 hasConcept C114614502 @default.
- W2149694502 hasConcept C121332964 @default.
- W2149694502 hasConcept C126255220 @default.
- W2149694502 hasConcept C158693339 @default.
- W2149694502 hasConcept C159985019 @default.
- W2149694502 hasConcept C164226766 @default.
- W2149694502 hasConcept C178650346 @default.
- W2149694502 hasConcept C185142706 @default.
- W2149694502 hasConcept C185429906 @default.
- W2149694502 hasConcept C192562407 @default.
- W2149694502 hasConcept C2524010 @default.
- W2149694502 hasConcept C2776036281 @default.
- W2149694502 hasConcept C28826006 @default.
- W2149694502 hasConcept C33923547 @default.
- W2149694502 hasConcept C49712288 @default.
- W2149694502 hasConcept C62520636 @default.
- W2149694502 hasConcept C81901731 @default.
- W2149694502 hasConcept C9936470 @default.
- W2149694502 hasConceptScore W2149694502C105795698 @default.
- W2149694502 hasConceptScore W2149694502C106487976 @default.
- W2149694502 hasConceptScore W2149694502C11413529 @default.
- W2149694502 hasConceptScore W2149694502C114614502 @default.
- W2149694502 hasConceptScore W2149694502C121332964 @default.
- W2149694502 hasConceptScore W2149694502C126255220 @default.
- W2149694502 hasConceptScore W2149694502C158693339 @default.
- W2149694502 hasConceptScore W2149694502C159985019 @default.
- W2149694502 hasConceptScore W2149694502C164226766 @default.
- W2149694502 hasConceptScore W2149694502C178650346 @default.
- W2149694502 hasConceptScore W2149694502C185142706 @default.
- W2149694502 hasConceptScore W2149694502C185429906 @default.
- W2149694502 hasConceptScore W2149694502C192562407 @default.
- W2149694502 hasConceptScore W2149694502C2524010 @default.
- W2149694502 hasConceptScore W2149694502C2776036281 @default.
- W2149694502 hasConceptScore W2149694502C28826006 @default.
- W2149694502 hasConceptScore W2149694502C33923547 @default.
- W2149694502 hasConceptScore W2149694502C49712288 @default.
- W2149694502 hasConceptScore W2149694502C62520636 @default.
- W2149694502 hasConceptScore W2149694502C81901731 @default.
- W2149694502 hasConceptScore W2149694502C9936470 @default.
- W2149694502 hasIssue "10" @default.
- W2149694502 hasLocation W21496945021 @default.
- W2149694502 hasOpenAccess W2149694502 @default.
- W2149694502 hasPrimaryLocation W21496945021 @default.
- W2149694502 hasRelatedWork W1975233309 @default.
- W2149694502 hasRelatedWork W1985027133 @default.
- W2149694502 hasRelatedWork W1996361867 @default.
- W2149694502 hasRelatedWork W2011934951 @default.
- W2149694502 hasRelatedWork W2054802669 @default.
- W2149694502 hasRelatedWork W2085477326 @default.
- W2149694502 hasRelatedWork W2952708824 @default.
- W2149694502 hasRelatedWork W2966383146 @default.
- W2149694502 hasRelatedWork W3008614212 @default.
- W2149694502 hasRelatedWork W4287865998 @default.
- W2149694502 hasVolume "47" @default.
- W2149694502 isParatext "false" @default.
- W2149694502 isRetracted "false" @default.
- W2149694502 magId "2149694502" @default.
- W2149694502 workType "article" @default.