Wolfram Language
Paclet Repository
Community-contributed installable additions to the Wolfram Language
Primary Navigation
Categories
Cloud & Deployment
Core Language & Structure
Data Manipulation & Analysis
Engineering Data & Computation
External Interfaces & Connections
Financial Data & Computation
Geographic Data & Computation
Geometry
Graphs & Networks
Higher Mathematical Computation
Images
Knowledge Representation & Natural Language
Machine Learning
Notebook Documents & Presentation
Scientific and Medical Data & Computation
Social, Cultural & Linguistic Data
Strings & Text
Symbolic & Numeric Computation
System Operation & Setup
Time-Related Computation
User Interface Construction
Visualization & Graphics
Random Paclet
Alphabetical List
Using Paclets
Create a Paclet
Get Started
Download Definition Notebook
Learn More about
Wolfram Language
RouthHurwitz
Guides
Guide to ZigangPan`RouthHurwitz`
Symbols
EmptyMatrixQ
FullColumnRankQ
FullRowRankQ
HurwitzMatrixQ
myMatrixQ
myNumericMatrixQ
myPositiveDefiniteMatrixQ
mySymmetricMatrixQ
NonDecreasingQ
NonNegativeDefiniteMatrixQ
NonSingularMatrixQ
RouthHurwitzTest
StrictIncreasingQ
ZigangPan`RouthHurwitz`
E
m
p
t
y
M
a
t
r
i
x
Q
E
m
p
t
y
M
a
t
r
i
x
Q
[
m
]
r
e
t
u
r
n
s
T
r
u
e
i
f
m
=
=
=
{
}
o
r
i
s
a
m
a
t
r
i
x
w
i
t
h
0
c
o
l
u
m
n
s
.
Examples
(
1
)
Basic Examples
(
1
)
I
n
[
1
]
:
=
m
=
{
}
;
E
m
p
t
y
M
a
t
r
i
x
Q
[
m
]
O
u
t
[
1
]
=
T
r
u
e
I
n
[
2
]
:
=
m
=
{
{
}
,
{
}
,
{
}
}
;
E
m
p
t
y
M
a
t
r
i
x
Q
[
m
]
O
u
t
[
2
]
=
T
r
u
e
I
n
[
3
]
:
=
m
=
T
a
b
l
e
[
1
,
{
i
,
0
}
,
{
j
,
3
}
]
;
E
m
p
t
y
M
a
t
r
i
x
Q
[
m
]
O
u
t
[
3
]
=
T
r
u
e
I
n
[
4
]
:
=
m
=
T
a
b
l
e
[
0
,
{
i
,
3
}
,
{
j
,
2
}
]
;
E
m
p
t
y
M
a
t
r
i
x
Q
[
m
]
O
u
t
[
4
]
=
F
a
l
s
e
I
n
[
5
]
:
=
m
=
{
3
,
2
}
;
E
m
p
t
y
M
a
t
r
i
x
Q
[
m
]
O
u
t
[
5
]
=
F
a
l
s
e
I
n
[
6
]
:
=
m
=
T
a
b
l
e
[
0
,
{
i
,
2
}
,
{
j
,
3
}
,
{
k
,
0
}
]
;
E
m
p
t
y
M
a
t
r
i
x
Q
[
m
]
O
u
t
[
6
]
=
F
a
l
s
e
S
e
e
A
l
s
o
m
y
M
a
t
r
i
x
Q
▪
m
y
N
u
m
e
r
i
c
M
a
t
r
i
x
Q
▪
H
u
r
w
i
t
z
M
a
t
r
i
x
Q
▪
m
y
S
y
m
m
e
t
r
i
c
M
a
t
r
i
x
Q
▪
N
o
n
N
e
g
a
t
i
v
e
D
e
f
i
n
i
t
e
M
a
t
r
i
x
Q
"
"
