Nov 16, 2019 · Golub mentioned "secular equation" in his Matrix Computation and a slide. However I still don't get its definition. How is a secular equation defined? Thanks!

May 20, 2016 · How can one identify secular terms while doing multiscale expansion? For e.g. in an initial value problem, can any term where t appears can be counted as secular term?

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Mar 5, 2011 · What does := mean? where we are saying that the two sides are equal, but we are not defining "1" to be the expression " sin2(θ)+cos2(θ) sin 2 (θ) + cos 2 (θ) ". Basically, some …

However, this logic in general does not reverse, unless the function f f is 1-1. This is the mechanism by which extraneous roots get introduced. When you square both sides of an …

For every homogeneous Fredholm equation, there is an associated secular equation you need to solve to find the eigenvalues; you should end up with a quadratic.

Dec 24, 2025 · I am self-studying Linear Algebra Done Right (4th ed.), and my question concerns the distinction between an abstract vector and its coordinate representation. This is something …

Jan 1, 2023 · In the book is written that all solutions of this secular equation are real numbers. I am interested in proving this statement, but I don't know how to do it. Can you help me please?

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Jan 4, 2020 · This additional freedom is used to eliminate the secular terms that pop up when dealing with multiple time scales in a differential equation. This way the τcosτ τ c o s τ and …