NUMERICAL METHODS A Quick Glance
Algorithms - Vectors Align - Simplex- Values
Implementation
OPTIMIZATION Various Algortihms
Methods - Bisection - Golden- Newton
Optimization
INTERPOLATION Interpolation Uses
Apps - Cubic - Newton- Lagrange
Interpolation
NON LINEAR SYSTEMS Nonlinear Equation Solutions
Solutions - Raphson - Birge- Newton
Nonlinear Systems
BOUNDARY SOLUTIONS Finite Boundary Values
Differences - Finite - Linear- High-Order
Finite Boundary
SMALLTALK Evaluation in Smalltalk
Functions - Error - Gamma- Beta
Smalltalk Methods
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IMPLEMENTATION 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.
Other Implementations...
Algorithms, Graphics, Vectors, ~ implementation techniques..."
DIFFERENTIAL EQUATIONS... Euler Method High-Order Differential
BOUNDARY VALUE SOLUTIONS... Finite Difference Linear Finite Difference High-Order
Platform Implementation
Additional Services ~ all environments..."
COMPLEX NUMBERS & FUNCTIONS... Hyperbolic Functions Trigonometric Functions
SMALLTALK FUNCTION EVALUATION... Error, Gamma, Beta Evaluation Smalltalk Server
Numerical Modeling
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SMALLTALKINTEGRATION... Simpson Method... Trapeze/Simpson...
Mining Concepts
Mineral Transactions... ~ sales, agreements..."
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Mining & Metal News
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EIGENVALUE SOLUTIONS... Eigen Inverse Iteration Rayleigh-Quotient Method
INTERPOLATION APPLICATIONS... Cubic Spline Method Newton Divided Difference
Applied Mathematical Algorithms