NUMERICAL METHODS Quick Glance to Numerical Methods
ALGORITHMS - Vectors in Multi-Spaces - Simplex Optimization Method - Algebra and Geometry Values
OPTIMIZATION Effective Distribution of Resources
METHODS - Bisection Methods Algorithms- Golden Search Method- Multi-Newton Optimization
INTERPOLATION Constructing New Data Point Values
APPLICATIONS - Cubic Methods Applications- Newton Difference Methods- Lagrange Methods Use
NON LINEAR SYSTEMS Equations Not Of First Degree
SOLUTIONS - Iterative Numerical Methods - Birge-Vieta Applications - Newton and Raphson
BOUNDARY SOLUTIONS Conditions For Boundary Regions
VALUES - Boundary Condition Problems - Finite Non-Linear Equations- Approximations by Finite Difference
SMALLTALK A Pure Object Oriented Language
FUNCTIONS - Polynomial Error Functions - Gamma Function as Integral- Beta vs Gamma Functions
MINERAL NEWS Weekly Mineral News and Activities in Latin America
MINING Numerical Analysis in mining engineering applications (e.g tunneling, drilling, exploration...). Check our daily news.
MINING Understanding Mining Basic Concepts of Ore Deposits
CONCEPTS - Mineral prospecting concepts to find viable ore deposits - Explain minerals with commercial value
MINERAL FORUM The Andes Mountain Range. Discussion and Ideas
TOPICS - Anecdotes of life in the Andes mountain range - Fauna diversity in the tropical Andes
MINERAL COMMODITIES Common Use of Raw Materials With Commercial Value
SELECTION Commodities grouping with common use- Base, Precious, Platinum, Construction- Crystallography elemental charts
MODELING AND COMMUNICATION ACTIVITIES: IN INDUSTRY Deliverables: interactive applications or enterprise systems with results deployed in a wide range of formats. more...
Web Services: external interfaces provided by a web site that can be called from other company websites. more...
MAINFRAMES AND OUTSOURCING CONSIDERATIONS Mainframes have the ability to "host" multiple operating systems and operate as a number of virtual machines. more...
Our core business is not outsourcing but we manage to help small companies handle specific functions. more...
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 Finite Difference Linear Finite Difference High-Order
Platform Implementation
Additional Services ~ all environments..."
COMPLEX NUMBERS & FUNCTIONS... Hyperbolic Functions Trigonometric Functions Error, Gamma, Beta Evaluation Smalltalk Server
Numerical Modeling
Want to know about Mining? ~ basic knowledge..."
SMALLTALKINTEGRATION... Simpson Method... Trapeze/Simpson...
Mining Concepts
Mineral Transactions... ~ sales, agreements..."
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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