Java Number Cruncher: The Java Programmers Guide to Numerical Computing - page 1
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- 9.4 Row Vector
- 9.5 Column Vector
- 9.6 Graphic Transformation Matrices
- 9.7 A Tumbling Cube in 3-D Space
- References
- Chapter 10. Solving Systems of Linear Equations
- 10.1 The Gaussian Elimination Algorithm
- 10.2 Problems with Gaussian Elimination
- 10.3 Partial Pivoting
- 10.4 Scaling
- 10.5 LU Decomposition
- 10.6 Iterative Improvement
- 10.7 A Class for Solving Systems of Linear Equations
- 10.8 A Program to Test LU Decomposition
- 10.9 Polynomial Regression
- References
- Chapter 11. Matrix Inversion, Determinants, and Condition Numbers
- 11.1 The Determinant
- 11.2 The Inverse
- 11.3 The Norm and the Condition Number
- 11.4 The Invertible Matrix Class
- 11.5 Hilbert Matrices
- 11.6 Comparing Solution Algorithms
- References
- Part IV: The Joys of Computation
- Chapter 12. Big Numbers
- 12.1 Big Integers
- 12.2 A Very Large Prime Number
- 12.3 Big Integers and Cryptography
- 12.4 Big Decimal Numbers
- 12.5 Big Decimal Functions
- References
- Chapter 13. Computing p
- 13.1 Estimates of p and Ramanujan s Formulas
- 13.2 Arctangent Formulas That Generate p
- 13.3 Generating Billions of Digits
- References
- Chapter 14. Generating Random Numbers
- 14.1 Pseudorandom Numbers
- 14.2 Uniformly Distributed Random Numbers
- 14.3 Normally Distributed Random Numbers
- 14.4 Exponentially Distributed Random Numbers
- 14.5 Monte Carlo, Buffon s Needle, and p
- References
- Chapter 15. Prime Numbers
- 15.1 The Sieve of Eratosthenes and Factoring
- 15.2 Congruences and Modulo Arithmetic
- 15.3 The Lucas Test
- 15.4 The Miller-Rabin Test
- 15.5 A Combined Primality Tester
- 15.6 Generating Prime Numbers
- 15.7 Prime Number Patterns
- References
- Chapter 16. Fractals
- 16.1 Fixed-Point Iteration and Orbits
- 16.2 Bifurcation and the Real Function f(x)x2 c
- 16.3 Julia Sets and the Complex Function f(z)z2 c
- 16.4 Newton s Algorithm in the Complex Plane
- 16.5 The Mandelbrot Set
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