Treść książki
Przejdź do opcji czytnikaPrzejdź do nawigacjiPrzejdź do informacjiPrzejdź do stopki
Notationsandsymbols
R
C
Rn
Rn×m
I,In×n
on×m
or
AT
A>o
A⊗B
colA
A(C)
σ(C)
γ(C)
"·"Rn
–isthesetofallrealnumbers
–isthesetofallcomplexnumbers
–isaspaceofalln-vectorswithentriesinR
–isaspaceofalln×mreal-valuedmatrices
–isanidentitymatrix,identityn×nmatrix
–isazeron×mmatrix
–istheRn-valuedtrivialfunction,or(9)=o∈Rn,9∈[−r,o]
–transposeofamatrixA
–symmetricmatrixAispositivedefnite
–isaKroneckerproductofmatricesAandB
–isacolumnvectorwhichconsistsofcolumnsofmatrixA
–istheeigenvalueofthematrixC
–isaspectrumofmatrixCandisdefned
asσ(C)={A∈C:det(AI−C)=o}
–isthespectralradiusofamatrixCandisdefned
asγ(C)=sup{|A|:A∈σ(C)}
–isaEuclideannorminRn
C([−r,o],Rn)–isaspaceofallcontinuousRnvaluedfunctions
defnedonthesegment[−r,o]
withtheuniformnorm"I"C=sup9∈[−r,o]"I(9)"
C1([−r,o],Rn)–isaspaceofallcontinuousRnvaluedfunctions
withcontinuousderivative
defnedonthesegment[−r,o]
L2([−r,o),Rn)–isaspaceofallLebesguesquareintegrablefunctions
defnedonthesegment[−r,o)withvaluesinRn
9
