1 overview. matlab
MATLAB stands for matrix laboratory. Besides excellent numerical calculation ability, it also provides professional symbolic calculation and text processing.
Management, visual modeling, simulation and real-time control.
The basic data unit of MATLAB is matrix, and its instruction expression is very similar to that commonly used in mathematics and engineering, so it is better to solve problems with MATLAB than with C and FORTRAN.
Language is much easier to do the same thing.
At present, the popular MATLAB 5.3/Simulink 3.0 includes a main package with hundreds of internal functions and more than 30 toolboxes, which can be divided into functional tools.
Packaging and theme kits. The function toolkit is used to expand the functions of MATLAB, such as symbolic calculation, visual modeling and simulation, word processing and real-time control. Theme toolkits are professional.
Toolkit, control toolkit, signal processing toolkit, communication toolkit, etc. All fall into this category.
Openness makes MATLAB popular with users. Except for internal functions, all MATLAB main package files and various toolkits are readable and modifiable files. Users can modify the source program.
Or add your own program to build a new special toolbox.
2. Overview 2. mathematics
Wolfram Research is a pioneer of high-tech computer computing, founded by stephen wolfram, the inventor of complex theory.
1987, 1988 introduced Mathematica, a high-tech computer operation software, which is a genius product comparable to the Nobel Prize. Mathematica is a set of comprehensive numbers used to
And symbolic operation, providing top-level software that is easy to use for more than one million researchers, engineers, physicists, analysts and other technical professionals around the world.
Scientific computing environment. At present, it has been widely used in academia, electrical engineering, chemistry, civil engineering, information engineering, finance, medicine, physics, statistics, education and publishing, OEM and other fields.
Widely used.
Characteristics of Mathematica
Mathematica 5, with its high-order calculation method, rich mathematical function library and huge mathematical knowledge base, can perform numerical operations in linear algebra such as eigenvectors and inverse matrices faster and better than Matlab R 13, providing the most accurate numerical operation results in the industry.
Mathematica can not only perform numerical calculation, but also provide the best designable symbolic operation.
Rich mathematical function library can quickly solve calculus, linear algebra, differential equations, complex variable functions, numerical analysis, probability statistics and so on.
Mathematica can draw graphs of professional functions in various professional fields, provide rich graphical representation methods and visualize the results.
Mathematica can organize professional scientific papers and periodicals, make calculation and typesetting complete in the same environment, provide high-quality editable typesetting formulas and tables, automatically optimize the typesetting of screen and print, organize the plan from initial concept to final report, and provide the best compatibility for the output of txt, html, pdf and other formats.
It can be combined with C, C++, Fortran, Perl, Visual Basic and Java to provide powerful high-level language interface functions and make program development more convenient.
Mathematica itself is a simple and easy-to-learn programming language. Mathematica provides interactive and rich help functions, so that users can learn and sell now. Powerful, easy to operate and easy to learn, it can shorten the research and development time most effectively.
3.3.lingo overview
LINGO is used to solve nonlinear programming (NLP- nonlinear programming) and quadratic programming (QP- quadratic programming).
LINGO 6.0 student edition can publish at most 300 variables, 150 constraint rule problems, and its standard edition has a solving ability exceeding 10 4. Although Lin Duohe
LINGO can't directly solve the goal planning problem, but it can be decomposed into the planning problem that LINDO and LINGO can solve by sequence algorithm.
Integration of Modeling Language and Solving Engine
LINGO is a comprehensive tool to build and solve linear, nonlinear and integer optimization models faster, simpler and more effectively. LINGO provides a powerful language and a fast solving engine to explain and solve the optimization model.
■ Simple model representation
LINGO can quickly formulate linear, nonlinear and integer problems, which is easy to read, understand and modify.
■ Convenient data input and output selection
The model established by LINGO can get data directly from the database or worksheet. Similarly, LINGO can directly output the solution results to a database or worksheet.
■ Powerful solution engine
LINGO's built-in solving engine includes linear, nonlinear (convex and non-convex), quadratic, quadratic constraint and integer optimization.
■ Interactive modeling or creating turnkey applications
LINGO provides a completely interactive environment for you to build, solve and analyze models. LINGO also provides dll and OLE interfaces for users to call from written programs.
■ Extensive documentation and help functions
All the tools and documents provided by LINGO can help you get started quickly. LINGO user manual has detailed functional definitions.
4. Overview 4. SAS software
The full name of SAS system is Statistics Analysis System, which was first written by two graduate students of biostatistics at the University of North Carolina. 1976, SAS software institute was established and SAS software was officially launched. SAS is a large-scale integrated information system for decision support, but the earliest function of the software system is limited to statistical analysis, which is still an important part and core function. The current version of SAS is version 9.0, and its size is about1g. After years of development, SAS has been adopted by nearly 30,000 organizations in more than 20 countries and regions around the world, with more than 3 million direct users, covering financial, medical and health, production, transportation, communication, government, education, scientific research and other fields. In Britain, America and other countries, skilled use of SAS for statistical analysis is one of the conditions for many companies and scientific research institutions to choose materials. In the field of data processing and statistical analysis, SAS system is known as the international standard software system, and was selected as the first choice product for establishing database in 1996 ~ 1997. Is a giant in the field of statistical software. Here is just one example: in the FDA's new drug approval procedure, it is stipulated that the statistical analysis of new drug test results can only be carried out by SAS, and the calculation results of other software are invalid! Even the simple mean and standard deviation are not good! This shows the authoritative position of SAS.
SAS system is a combined software system, which consists of several functional modules, and its basic part is the basic SAS module. The basic SAS module is the core of the SAS system, which undertakes the main data management tasks, manages the user's use environment, processes the user's language and calls other SAS modules and products. In other words, the operation of SAS system must start the basic SAS module, which is the central dispatching room of SAS system in addition to its own functions of data management, program design and descriptive statistical calculation. It can exist independently or form a complete system with other products or modules. The installation and update of each module can be carried out very conveniently through its installation program. SAS system has flexible function expansion interface and powerful function modules. On the basis of basic SAS, the following different modules can be added to increase different functions: SAS/STAT (Statistical Analysis Module), SAS/GRAPH (Drawing Module), SAS/QC (Quality Control Module), SAS/ETS (Econometrics and Time Series Analysis Module), SAS/OR (Operational Research Module), SAS/IML (Interactive Matrix Programming Language Module). SAS has an intelligent drawing system, which can not only draw various statistical charts, but also draw maps. SAS provides many statistical processes, and each process contains extremely rich options. Users can also achieve more complex statistical analysis through a series of processing of data sets. In addition, SAS also provides various probability analysis functions, quantile functions, sample statistics functions and random number generation functions, so users can easily meet special statistical requirements.