Matches in SemOpenAlex for { <https://semopenalex.org/work/W2962705706> ?p ?o ?g. }
Showing items 1 to 60 of
60
with 100 items per page.
- W2962705706 endingPage "140" @default.
- W2962705706 startingPage "110" @default.
- W2962705706 abstract "We define and study three different types of upper (and lower) triangular blocked tensors, which are all generalizations of the triangular blocked matrices, and are also generalizations of reducible or weakly reducible tensors. We study some common properties, as well as different properties of these three types of triangular blocked tensors. We obtain the formulas for the determinants, characteristic polynomials and spectra of the first and second type triangular blocked tensors, and give an example to show that these formulas no longer hold for the third type triangular blocked tensors. We prove that the product of any two ( n 1 , ⋯ , n r ) -upper (or lower) triangular blocked tensors of the first or second or third type is still an ( n 1 , ⋯ , n r ) -upper (or lower) triangular blocked tensor of the same type. We also prove that, if an ( n 1 , ⋯ , n r ) -upper triangular blocked tensor of the first or second or third type has a left k -inverse, then its unique left k -inverse is still an ( n 1 , ⋯ , n r ) -upper triangular blocked tensor of all the three types. Also if it has a right k -inverse, then all of its right k -inverses are still ( n 1 , ⋯ , n r ) -upper triangular blocked tensors of all the three types. By showing that the left k -inverse (if any) of a weakly irreducible nonsingular M -tensor is a positive tensor, we show that the left k -inverse (if any) of a first or second or third type normal ( n 1 , ⋯ , n r ) -upper triangular blocked nonsingular M -tensor is an ( n 1 , ⋯ , n r ) -upper triangular blocked tensor of all the three types all of whose diagonal blocks are positive tensors. We also show that every order m dimension n tensor is permutation similar to some third type normal upper triangular blocked tensor (all of whose diagonal blocks are irreducible). We give an example to show that this is not true for the first type normal upper triangular blocked tensor." @default.
- W2962705706 created "2019-07-30" @default.
- W2962705706 creator A5009057292 @default.
- W2962705706 creator A5088843448 @default.
- W2962705706 date "2016-12-01" @default.
- W2962705706 modified "2023-10-14" @default.
- W2962705706 title "On some properties of three different types of triangular blocked tensors" @default.
- W2962705706 cites W1514622556 @default.
- W2962705706 cites W1656443807 @default.
- W2962705706 cites W2001870888 @default.
- W2962705706 cites W2020374088 @default.
- W2962705706 cites W2063297291 @default.
- W2962705706 cites W2066105650 @default.
- W2962705706 cites W2090208105 @default.
- W2962705706 cites W2120001551 @default.
- W2962705706 cites W2297376120 @default.
- W2962705706 cites W2297648539 @default.
- W2962705706 cites W2964136988 @default.
- W2962705706 doi "https://doi.org/10.1016/j.laa.2016.09.001" @default.
- W2962705706 hasPublicationYear "2016" @default.
- W2962705706 type Work @default.
- W2962705706 sameAs 2962705706 @default.
- W2962705706 citedByCount "21" @default.
- W2962705706 countsByYear W29627057062017 @default.
- W2962705706 countsByYear W29627057062018 @default.
- W2962705706 countsByYear W29627057062019 @default.
- W2962705706 countsByYear W29627057062020 @default.
- W2962705706 countsByYear W29627057062021 @default.
- W2962705706 countsByYear W29627057062022 @default.
- W2962705706 countsByYear W29627057062023 @default.
- W2962705706 crossrefType "journal-article" @default.
- W2962705706 hasAuthorship W2962705706A5009057292 @default.
- W2962705706 hasAuthorship W2962705706A5088843448 @default.
- W2962705706 hasBestOaLocation W29627057061 @default.
- W2962705706 hasConcept C202444582 @default.
- W2962705706 hasConcept C33923547 @default.
- W2962705706 hasConceptScore W2962705706C202444582 @default.
- W2962705706 hasConceptScore W2962705706C33923547 @default.
- W2962705706 hasFunder F4320321001 @default.
- W2962705706 hasLocation W29627057061 @default.
- W2962705706 hasLocation W29627057062 @default.
- W2962705706 hasOpenAccess W2962705706 @default.
- W2962705706 hasPrimaryLocation W29627057061 @default.
- W2962705706 hasRelatedWork W1557945163 @default.
- W2962705706 hasRelatedWork W1985218657 @default.
- W2962705706 hasRelatedWork W1989920940 @default.
- W2962705706 hasRelatedWork W2036077645 @default.
- W2962705706 hasRelatedWork W2073994398 @default.
- W2962705706 hasRelatedWork W2096753949 @default.
- W2962705706 hasRelatedWork W2963341196 @default.
- W2962705706 hasRelatedWork W3103780039 @default.
- W2962705706 hasRelatedWork W3124205579 @default.
- W2962705706 hasRelatedWork W4249580765 @default.
- W2962705706 hasVolume "511" @default.
- W2962705706 isParatext "false" @default.
- W2962705706 isRetracted "false" @default.
- W2962705706 magId "2962705706" @default.
- W2962705706 workType "article" @default.