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RouthHurwitz

Guides

  • Guide to ZigangPan`RouthHurwitz`

Symbols

  • EmptyMatrixQ
  • FullColumnRankQ
  • FullRowRankQ
  • HurwitzMatrixQ
  • myMatrixQ
  • myNumericMatrixQ
  • myPositiveDefiniteMatrixQ
  • mySymmetricMatrixQ
  • NonDecreasingQ
  • NonNegativeDefiniteMatrixQ
  • NonSingularMatrixQ
  • RouthHurwitzTest
  • StrictIncreasingQ
ZigangPan`RouthHurwitz`
StrictIncreasingQ
​
StrictIncreasing[x] takes an argument x, which must be a vector. It returns
True
if the elements of x are strictly increasing, and otherwise
False
.
​
Examples  
(1)
Basic Examples  
(1)
In[1]:=
x={0,1,2}
Out[1]=
{0,1,2}
In[2]:=
StrictIncreasingQ
[x]
Out[2]=
True
In[3]:=
x={0,1,2+x1^2,3+x1^2};$Assumptions=$Assumptions&&(x1∈Reals)
Out[3]=
x1∈&&x1∈&&x1∈
In[4]:=
Simplify
StrictIncreasingQ
[x]
Out[4]=
True
SeeAlso
True
 
▪
False
 
▪
NonDecreasingQ
 
▪
Positive
 
▪
NonNegative
""

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