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Programming example: How to create block matrices and how to join them into a single matrix

Vektoren und Matrizen

Vectors and Matrices

Programmierung

Programming

Inhalt

Contents

In this example, the dimensions are fully randomized in order to test the reliability of the procedure for joining the blocks.

mn 1 :

mx 4 :

Dim 2 mn mx Random.N :

Dim transpose 4412 mat

R Dim 1 el mn mx Random.N :

R transpose 231314 mat

C Dim 2 el mn mx Random.N :

C transpose 242114 mat

j 1 Dim 1 el range k 1 Dim 2 el range M j k el R j el C k el 09 Random.N : for for

M 212522 mat 1199707424 mat 298122 mat 9521 mat 47975632 mat 52970148999734 mat 59940332 mat 50331 mat 6012 mat 811414 mat 5512 mat 111 mat 08750232 mat 88948083990234 mat 63619432 mat 13131 mat 44 mat

M joinRows j 1 M rows range Rt j el M j 1 el : M cols 1 > k 2 M cols range Rt j el Rt j el M j k el augment : for 0 if 21 line for Rt 21 line :

tmp M joinRows :

res tmp transpose joinRows transpose 1 el :

res 21119929925707481547529759597014894056999703360811455108889463175808361302990294199 mat

$Author: mkraska $ $Date: 2014-01-03 00:31:00 +0100 (Fr, 03. Jan 2014) $