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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
Guide to ZigangPan`RouthHurwitz`
This is a listing of all functions in the paclet ZigangPan`RouthHurwitz`.
S
t
r
i
c
t
I
n
c
r
e
a
s
i
n
g
Q
— test whether a list of numbers is strictly increasing.
N
o
n
D
e
c
r
e
a
s
i
n
g
Q
— test whether a list of numbers is nondecreasing, i.e., increasing but not necessarily strictly.
E
m
p
t
y
M
a
t
r
i
x
Q
— test whether a list is an empty matrix.
m
y
M
a
t
r
i
x
Q
— test whether a list is a matrix.
m
y
N
u
m
e
r
i
c
M
a
t
r
i
x
Q
— test whether a list is a matrix with only numeric values.
R
o
u
t
h
H
u
r
w
i
t
z
T
e
s
t
— the correct Routh Hurwitz test.
m
y
S
y
m
m
e
t
r
i
c
M
a
t
r
i
x
Q
— test whether a list is a symmetric matrix.
m
y
P
o
s
i
t
i
v
e
D
e
f
i
n
i
t
e
M
a
t
r
i
x
Q
— test whether a list is a positive definite matrix.
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
— test whether a list is a nonnegative definite matrix, i.e., a positive semidefinite matrix.
H
u
r
w
i
t
z
M
a
t
r
i
x
Q
— test whether a matrix is a Hurwitz matrix, i.e., all eigenvalues are in the open left half plane.
F
u
l
l
R
o
w
R
a
n
k
Q
— test whether a matrix is of full row rank.
F
u
l
l
C
o
l
u
m
n
R
a
n
k
Q
— test whether a matrix is of full column rank.
N
o
n
S
i
n
g
u
l
a
r
M
a
t
r
i
x
Q
— test whether a matrix is nonsingular, i.e., of full column rank or of full row rank.
T
e
s
t
f
o
r
p
o
l
y
n
o
m
i
a
l
s
o
f
o
n
e
v
a
r
i
a
b
l
e
.
R
o
u
t
h
H
u
r
w
i
t
z
T
e
s
t
▪
T
e
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t
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t
o
r
s
.
S
t
r
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I
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e
a
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i
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g
Q
▪
N
o
n
D
e
c
r
e
a
s
i
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g
Q
T
e
s
t
f
o
r
m
a
t
r
i
c
e
s
.
E
m
p
t
y
M
a
t
r
i
x
Q
▪
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
▪
m
y
S
y
m
m
e
t
r
i
c
M
a
t
r
i
x
Q
▪
m
y
P
o
s
i
t
i
v
e
D
e
f
i
n
i
t
e
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
▪
H
u
r
w
i
t
z
M
a
t
r
i
x
Q
▪
F
u
l
l
R
o
w
R
a
n
k
Q
▪
F
u
l
l
C
o
l
u
m
n
R
a
n
k
Q
▪
N
o
n
S
i
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g
u
l
a
r
M
a
t
r
i
x
Q
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