9.2.4 Schur Decomposition Theorem
6:32
YouTubeAdvanced LAFF
9.2.4 Schur Decomposition Theorem
Advanced Linear Algebra: Foundations to Frontiers Robert van de Geijn and Maggie Myers For more information: ulaff.net
30.6K viewsDec 10, 2019
Schur Decomposition Applications
What does the generalized Schur decomposition say about the pencil A-λA^T ? Hint: If T ∈𝐑^n ×n is upper triangular, then ℰn T ℰn is lower triangular where ℰn is the exchange permutation defined in 1.2 .11. | Numerade
What does the generalized Schur decomposition say about the pencil A-λA^T ? Hint: If T ∈𝐑^n ×n is upper triangular, then ℰn T ℰn is lower triangular where ℰn is the exchange permutation defined in 1.2 .11. | Numerade
numerade.com
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Suppose Ak →A and that Qk^H Ak Qk=Tk is a Schur decomposition of Ak. Show that {Qk} has a converging subequence {Qki} with the property that limi →∞ Qki=Q where Q^H A Q=T is upper triangular. This shows that the eigenvalues of a matrix are continuous functions of its entries. | Numerade
Suppose Ak →A and that Qk^H Ak Qk=Tk is a Schur decomposition of Ak. Show that {Qk} has a converging subequence {Qki} with the property that limi →∞ Qki=Q where Q^H A Q=T is upper triangular. This shows that the eigenvalues of a matrix are continuous functions of its entries. | Numerade
numerade.com
Nov 5, 2021
Schur on Instagram: "About one year since I quit my job. Infinite love to everyone listening ❤️ #indieartist #musician . . @lyrah ty for this format. Check her music out btw…sauceeeee"
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Schur on Instagram: "About one year since I quit my job. Infinite love to everyone listening ❤️ #indieartist #musician . . @lyrah ty for this format. Check her music out btw…sauceeeee"
Instagram
52.9K views3 months ago
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