Rλ(A)=(λI−A)−1, … Feem ntau, qhov kev daws teeb meem, tom qab txo tag nrho cov kev sib npaug, yog tus piv ntawm polynomial matrix Q(λ) ntawm degree ntawm feem ntau k−1, qhov twg k yog qib ntawm qhov tsawg tshaj plaws polynomial ψ(z): Rλ(A)=(λI−A)−1=1ψ(λ)Q(λ).
Dab tsi yog qhov daws teeb meem matrix?
3.7. Kev daws teeb meem matrix. Lus Txhais 31. Muab ib lub square matrix M nws qhov daws teeb meem yog the matrix-valued function RM(z)=(zI − M)−1, txhais rau tag nrho z ∈ C / σ(M).
Lub xeev hloov matrix txhais li cas?
Nyob rau hauv kev tswj txoj kev xav, lub xeev-kev hloov matrix yog a matrix uas nws cov khoom nrog lub xeev vector ntawm thawj zaug muab rau lub sijhawm tom qab.. Lub xeev-hloov matrix tuaj yeem siv tau kom tau txais cov kev daws teeb meem ntawm cov kab hluav taws xob dynamical.
Koj suav qhov daws teeb meem li cas?
Qhov kev daws teeb meem ntawm tus neeg teb xov tooj A yog tus tus neeg ua haujlwm Rλ rov qab mus rau Tλ=A−λI. Ntawm no A yog tus neeg teb xov tooj kaw uas tau teev tseg rau ntawm qhov ntom ntom DA ntawm Banach qhov chaw X nrog qhov tseem ceeb hauv tib qhov chaw thiab λ yog li ntawd T−λ1 yog tus neeg teb xov tooj txuas ntxiv ntawm X.
Dab tsi yog cov khoom ntawm kev hloov matrix?
Daim ntawv ntawm kev hloov pauv dav dav yog Page 2 Page 3 Ib qho stochastic matrix yog ib qho square matrix uas txaus siab rau ob qho khoom nram qab no: 1 Txhua qhov kev nkag yog ntau dua lossis sib npaug rau 0; 2. Tus lej ntawm cov ntawv nkag hauv txhua kab yog 1. Txhua qhov kev hloov pauv matrices yog stochastic matrices.
