NUMERICAL METHODS A Quick Glance
Algorithm - Vectors - Simplex- Values
OPTIMIZATION Various Algortihms
Methods - Bisection - Golden- Newton
INTERPOLATION Interpolation Uses
Apps - Cubic - Newton- Lagrange
NON LINEAR SYSTEMS Nonlinear Solutions
Solutions - Raphson - Birge- Newton
BOUNDARY SOLUTION Finite Boundary Values
Values - Finite - Linear- High-Order
SMALLTALK Evaluation in Smalltalk
Functions - Error - Gamma- Beta
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UNDERSTANDING MINING
Mineral concepts included to assist our math-oriented readers. more...
MINERAL FORUM
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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
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Collection of diverse and related Math-Mining issues.
Programming Languages
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Ideas, Comments, Participation
Math, Analysis & More, ~ our established expertise..."
EIGENVALUE SOLUTIONS... Eigen Inverse Iteration Rayleigh-Quotient Method
INTERPOLATION APPLICATIONS... Cubic Spline Method Newton Divided Difference
Applied Mathematical Algorithms