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Quantum EngineeringYear 0: Mathematical FoundationsMonth 10Day 262

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Year 0·Month 10·Week 2

Day 262: Root Finding and Optimization with SciPy

Day 262 of 2,016~16 min read

Learning Objectives

  • •**Find roots of nonlinear equations** using `fsolve`, `root`, `brentq`
  • •**Minimize scalar functions** with `minimize_scalar`
  • •**Minimize multivariate functions** using `minimize` with various methods
  • •**Fit models to data** with `curve_fit` and least squares
  • •**Apply variational principle** to find ground state energies
  • •**Handle constraints** in optimization problems
  • •**Choose appropriate algorithms** for different problem types

Today's Schedule (7 hours)

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On this page

1 Root Finding Single Variable2 Root Finding Systems of Equations3 Scalar Minimization4 Multivariate Minimization5 Constrained Optimization6 Curve Fitting7 Least SquaresQuantum Mechanics ConnectionVariational PrincipleFinding Eigenvalues from Secular EquationVariational Method with Multiple ParametersFitting Quantum Oscillations
Day 261Day 262 of 2,016Day 263