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(2) If c(z) ≥ 0 for all z = [0, 1], then a function minimizes J(v), that is, J(u) = inf J(v), with J(v) = a(v, v) — Ã(v) Furthermore, u is unique.

(2) If c(z) ≥ 0 for all z = [0, 1], then a function minimizes J(v), that is, J(u) = inf J(v), with J(v) = a(v, v) — Ã(v) Furthermore, u is unique.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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(2) If c(z) ≥ 0 for all z = [0, 1], then a function u EV is a solution of (WF) iff u minimizes J(v), that is, J(u) = inf J(v), with J(v) = a(v₁v) — 7(v) v € V. Furthermore, u is unique.
Transcribed Image Text:(2) If c(z) ≥ 0 for all z = [0, 1], then a function u EV is a solution of (WF) iff u minimizes J(v), that is, J(u) = inf J(v), with J(v) = a(v₁v) — 7(v) v € V. Furthermore, u is unique.
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