A Quick Glance
- Vectors - Simplex- Values
- Bisection - Golden- Newton
- Cubic - Newton- Lagrange
NON LINEAR SYSTEMS
- Raphson - Birge- Newton
Finite Boundary Values
- Finite - Linear- High-Order
Evaluation in Smalltalk
- Error - Gamma- Beta
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Complex Matrix Manipulation
As in the case of implementing a real matrix (Number Matrix Manipulation) a
more complex matrix structure can be derived where matrices again can be added, multiplied and decomposed in many ways.
We show how to implement various complex matrix operations including matrix addition, subtraction, multiplication,
transformation and determinant. A complex matrix can be created using either 2D complex array or by directly defining
its matrix elements.
Testing Complex Matrix Method
Supporting code and methods are not included.
As a sample we provide initial input data points using complex arrays for matrix m1, matrix m2 and vector v.
Results of the various mathematical operators are shown on the screen above.
The user can manipulate new vector v values. The arrays themselves are fixed and no attempt was made to
provide flexibility for input.
Algorithms, Graphics, Vectors, ~ implementation techniques..."
BOUNDARY VALUE SOLUTIONS...
Finite Difference Linear
Finite Difference High-Order
Additional Services ~ all environments..."
COMPLEX NUMBERS & FUNCTIONS...
SMALLTALK FUNCTION EVALUATION...
Error, Gamma, Beta
Evaluation Smalltalk Server
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Eigen Inverse Iteration
Cubic Spline Method
Newton Divided Difference
Applied Mathematical Algorithms