fillMatrix -- fill a mutable matrix with random numbers

Synopsis

Usage:
fillMatrix M
fillMatrix(M,n)
Function: fillMatrix
Inputs:
- M, a mutable matrix
- n, an integer, if specified, the maximum number of entries to replace
Optional inputs:
- Density => a real number, default value 1, the fraction of entries of M to be replaced, if n is not specified
- UpperTriangular => a Boolean value, default value false, whether to fill entries only above the diagonal
- Height => an integer, default value 10, a bound on the absolute values of the generated random numbers
Outputs:
- M
Consequences:
- some entries of M are replaced with randomly generated numbers, whose size depends on the value of the option Height

Description

i1 : printingPrecision = 2

o1 = 2

i2 : fillMatrix(mutableMatrix(RR,5,10))

o2 = | .83 .96 .93 .28 .53 .92   .36  .77 .2  .92  |
     | .76 .57 .55 .22 .47 .16   .49  .84 .99 .033 |
     | .36 .97 .56 .12 .55 .87   .92  .5  .73 .49  |
     | .46 .74 .19 .27 .53 .0092 .5   .19 .51 .64  |
     | .66 .36 .79 .98 .9  .16   .053 .81 .87 .94  |

o2 : MutableMatrix

i3 : fillMatrix(mutableMatrix(ZZ,5,10),UpperTriangular=>true)

o3 = | . . 6 2 1 7 . . 3 2 |
     | . . . 7 8 7 9 7 7 8 |
     | . . . 9 3 1 1 8 5 7 |
     | . . . . 1 4 7 5 2 1 |
     | . . . . . 5 6 5 . 4 |

o3 : MutableMatrix

i4 : fillMatrix(mutableMatrix(QQ,5,10),Density=>.2,Height=>1000)

o4 = | . . .       . .       .     .      .       23/172 .       |
     | . . 483/163 . .       .     .      .       .      .       |
     | . . .       . .       63/38 .      .       .      .       |
     | . . .       . 101/213 .     .      682/721 .      9/4     |
     | . . 577/434 . .       .     13/148 630/461 .      101/167 |

o4 : MutableMatrix

i5 : fillMatrix(mutableMatrix(ZZ,5,10),25,Height=>1000)

o5 = | .   .   .   431 .   .   .   173 .   . |
     | .   .   .   183 .   389 744 843 672 . |
     | .   405 175 291 944 .   .   823 168 . |
     | 733 280 .   609 822 .   .   251 .   . |
     | 528 .   .   .   804 232 .   483 .   . |

o5 : MutableMatrix

Ways to use `fillMatrix` :

fillMatrix(MutableMatrix)
fillMatrix(MutableMatrix,ZZ)

fillMatrix -- fill a mutable matrix with random numbers

Synopsis

Description

See also

Ways to use fillMatrix :

Ways to use `fillMatrix` :