Analisa Numerik

1
Analisa Numerik

• Tutorial Matlab
• Ref http//www.rit.edu/pnveme/Matlab_Course

2
Pendahuluan

• MATLAB (Matrix Laboratory)
• High performance language for technical
  computing.
• Interactive system yg. basic data element-nya
  adlh. array yg. tidak membutuhkan dimensioning.
• Terdiri atas 6 bagian
• Bhs. pemrograman MATLAB.
• High-level matrix/array language dng. features
  control flow statements, functions, data
  structures, input/output, and object-oriented
  programming. Aplikasi MATLAB ditulis dlm.
  M-files.
• MATLAB working environment.
• Set of tools and fasilitas yg. digunakan oleh
  MATLAB user / programmer. Meliputi fasilitas utk.
  me-manage variables, import export data, tools
  utk. developing, managing, debugging, profiling
  M-files, MATLAB's applications.    

3
Pendahuluan

• Grafik.
• Termasuk 2-D 3-D data visualization, image
  processing, animation, presentation graphics,
  low-level commands utk. GUI aplikasi MATLAB.
• MATLAB mathematical function library.
• Computational algorithms dari fungsi-fungsi
  dasar (sum, sin, cos), complex arithmetic, sampai
  fungsi-fungsi yg. lebih komplesk (matrix inverse,
  matrix eigenvalues, Bessel functions, fast
  Fourier transforms).    
• MATLAB Application Program Interface (API).
• A library yg. memungkinkan kita menulis program
  C Fortran programs yg. dpt. berinteraksi dng.
  MATLAB. Meliputi fasilitas utk. calling routines
  dr. MATLAB (dynamic linking), calling MATLAB as a
  computational engine, membaca, menulis
  MAT-files.    
• Toolboxes
• Extension dari basic Matlab system (penambahan
  additional mathematical function library pd.
  topik-topik tertentu).

4
Variables

• Tidak perlu didefinisikan terlebih dahulu sebelum
  dipakai. Default semua bertipe matrix.
• Nama variabel case sensitive, diawali dng. 1
  huruf bisa sampai 31 chars (huruf, bil.,
  underscore).
• Ada built-in variabel.
• Operator
• , -, , /, \ (x A-1b), , (transpose), (),
  .ops
• Semua komputasi di MATLAB dilakukan sebg. double
  precision (IEEE standard), sekitar 16 digit.
  Penampilan bisa berbeda-beda, tergantung format.

5
Functions

• Fungsi di MATLAB
• Built-in function, yg. umum digunakan bisa
  dikelompokkan menjadi 3
• Elementary buil-in functions (elfun).
• Special Math functions (specfun, elmat).
• Toolboxes
• User defined function M-files
• Program Matlab umumnya terdiri atas 1/beberapa
  function (dlm. M-files).

6
User Defined Functions

• Comment
• Comment di awal function (sebelum dipisah baris
  kosong) otomatis jadi help.
• Program control
• if - else - end.
• switch - case - - end.
• for - - end.
• while - - end.
• break.
• Selain fungsi flops, cputime, dsb., MATLAB juga
  menyediakan profiler (profile, profile report).