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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6420 • PDE

Fall 2006 • Question 4

Question

Math 6420 • PDE Fall 2006 • Question 4

The \(n\) data points \((x_i,y_i)\), \(i=1,2,\ldots ,n\), are believed to lie on an exponential curve \(y_i=A\exp (\lambda x_i)\). Formulate a linear regression problem to estimate \(\lambda \).

Raw LaTeX

The \(n\) data points \((x_i,y_i)\), \(i=1,2,\ldots,n\), are believed to lie on an exponential curve
\(y_i=A\exp(\lambda x_i)\). Formulate a linear regression problem to estimate \(\lambda\).

Topic Tags

Jordan's Lemma and Arc Estimates Linear Programming and Optimization Semi-Lagrangian Methods and Exponential Integrators Sobolev Spaces and Energy Estimates