@@ -18,7 +18,7 @@ kernelspec:

1818</div>1919```202021-# SciPy21+# {index}`SciPy <single: SciPy>`22222323```{index} single: Python; SciPy2424```

@@ -49,7 +49,7 @@ A more common approach is to get some idea of what's in the library and then loo

49495050In this lecture, we aim only to highlight some useful parts of the package.515152-## SciPy versus NumPy52+## {index}`SciPy <single: SciPy>` versus {index}`NumPy <single: NumPy>`53535454

SciPy is a package that contains various tools that are built on top of NumPy, using its array data type and related functionality.

5555

@@ -214,7 +214,7 @@ The unique root is approximately 0.408.

214214215215Let's consider some numerical techniques for finding roots.216216217-### Bisection217+### {index}`Bisection <single: Bisection>`218218219219```{index} single: SciPy; Bisection220220```

@@ -271,7 +271,7 @@ from scipy.optimize import bisect

271271bisect(f, 0, 1)272272```273273274-### The Newton-Raphson Method274+### The {index}`Newton-Raphson Method <single: Newton-Raphson Method>`275275276276```{index} single: SciPy; Newton-Raphson Method277277```

@@ -358,7 +358,7 @@ fixed_point(lambda x: x**2, 10.0) # 10.0 is an initial guess

358358If you don't get good results, you can always switch back to the `brentq` root finder, since359359the fixed point of a function $f$ is the root of $g(x) := x - f(x)$.360360361-## Optimization361+## {index}`Optimization <single: Optimization>`362362363363```{index} single: SciPy; Optimization364364```

@@ -393,7 +393,7 @@ Constrained multivariate local optimizers include `fmin_l_bfgs_b`, `fmin_tnc`, `

393393394394See the [documentation](http://docs.scipy.org/doc/scipy/reference/optimize.html) for details.395395396-## Integration396+## {index}`Integration <single: Integration>`397397398398```{index} single: SciPy; Integration399399```

@@ -423,7 +423,7 @@ There are also functions for multivariate integration.

423423424424See the [documentation](http://docs.scipy.org/doc/scipy/reference/integrate.html) for more details.425425426-## Linear Algebra426+## {index}`Linear Algebra <single: Linear Algebra>`427427428428```{index} single: SciPy; Linear Algebra429429```