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a. Sketch the Gershgorin disks for the matrix 2 -1 A = -2 -10 -1 -1 4 and give a bound for the spectral radius, p(A). b. Determine an upper and lower bound for p(A), using ||A||1, where 1 1 A = 1 4 0 0 0 3 and then repeat using Gershgorin's Theorem.

a. Sketch the Gershgorin disks for the matrix 2 -1 A = -2 -10 -1 -1 4 and give a bound for the spectral radius, p(A). b. Determine an upper and lower bound for p(A), using ||A||1, where 1 1 A = 1 4 0 0 0 3 and then repeat using Gershgorin's Theorem.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5.2.37 a. Sketch the Gershgorin disks for the matrix 2 -1 A = -2 -10 -1 -1 4 and give a bound for the spectral radius, p(A). b. Determine an upper and lower bound for p(A), using ||A||1, where 1 1 A = 4 3 and then repeat using Gershgorin's Theorem.
Transcribed Image Text:5.2.37 a. Sketch the Gershgorin disks for the matrix 2 -1 A = -2 -10 -1 -1 4 and give a bound for the spectral radius, p(A). b. Determine an upper and lower bound for p(A), using ||A||1, where 1 1 A = 4 3 and then repeat using Gershgorin's Theorem.
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