public class DenseVector extends Object implements Vector
double based vector
representation.| Constructor and Description |
|---|
DenseVector(Collection<? extends Number> data)
Constructs a vector, initialized by a collection, with order defined by
its iterator.
|
DenseVector(DenseVector vector)
Copy constructor.
|
DenseVector(double... data)
Constructs a vector, initialized by a
double[]. |
DenseVector(Double[] data)
Constructs a vector, initialized by a
Double[]. |
DenseVector(int length)
Constructs a vector.
|
DenseVector(int[] data)
Constructs a vector, initialized by a
int[]. |
DenseVector(int length,
double value)
Constructs a vector, initialized by repeating a value.
|
DenseVector(List<Double> data)
Constructs a vector, initialized by a
List<Double>. |
DenseVector(Matrix A)
Constructs a vector from a column or row matrix.
|
DenseVector(Vector v)
Casts any vector to a
DenseVector. |
| Modifier and Type | Method and Description |
|---|---|
DenseVector |
add(DenseVector that) |
DenseVector |
add(double scalar)
Add a constant to all entries in this vector.
|
Vector |
add(Vector that)
\(this + that\)
|
double |
angle(Vector that)
Measure the angle, \(\theta\), between
this and that. |
DenseVector |
deepCopy()
The implementation returns an instance created from
this by the copy
constructor of the class, or just this if the instance itself is
immutable. |
DenseVector |
divide(DenseVector that) |
Vector |
divide(Vector that)
Divide
this by that, entry-by-entry. |
boolean |
equals(Object obj) |
double |
get(int i)
Get the value at position i.
|
int |
hashCode() |
double |
innerProduct(DenseVector that) |
double |
innerProduct(Vector that)
Inner product in the Euclidean space is the dot product.
|
DenseVector |
minus(DenseVector that) |
DenseVector |
minus(double scalar)
Subtract a constant from all entries in this vector.
|
Vector |
minus(Vector that)
\(this - that\)
|
DenseVector |
multiply(DenseVector that) |
Vector |
multiply(Vector that)
Multiply
this by that, entry-by-entry. |
double |
norm()
Compute the length or magnitude or Euclidean norm of a vector, namely, \(\|v\|\).
|
double |
norm(double p)
Gets the \(L^p\)-norm \(\|v\|_p\) of this vector.
|
DenseVector |
opposite()
Get the opposite of this vector.
|
DenseVector |
pow(double scalar)
Take the exponentiation of all entries in this vector, entry-by-entry.
|
DenseVector |
scaled(double c)
Scale this vector by a constant, entry-by-entry.
|
DenseVector |
scaled(Real c)
Scale this vector by a constant, entry-by-entry.
|
void |
set(int from,
DenseVector replacement)
Replaces a sub-vector
v[from : replacement.length] by a
replacement starting at position from. |
void |
set(int i,
double value)
Change the value of an entry in this vector.
|
int |
size()
Get the length of this vector.
|
double[] |
toArray()
Cast this vector into a 1D
double[]. |
String |
toString() |
DenseVector |
ZERO()
Get a 0-vector that has the same length as this vector.
|
public DenseVector(int length)
length - the length of this vectorpublic DenseVector(int length,
double value)
length - the length of this vectorvalue - the initial valuepublic DenseVector(double... data)
double[].data - an 1D arraypublic DenseVector(Double[] data)
Double[].data - an 1D arraypublic DenseVector(List<Double> data)
List<Double>.data - an 1D arraypublic DenseVector(Collection<? extends Number> data)
data - a collection of Numberpublic DenseVector(int[] data)
int[].data - an 1D arraypublic DenseVector(Matrix A)
A - a column or row matrixpublic DenseVector(Vector v)
DenseVector.v - a vectorpublic DenseVector(DenseVector vector)
vector - a vectorpublic int size()
Vectorpublic void set(int i,
double value)
Vectorpublic void set(int from,
DenseVector replacement)
v[from : replacement.length] by a
replacement starting at position from.from - the starting position of the replacementreplacement - a vector for substitutionIllegalArgumentException - if the replacement length exceeds the
end of this vectorpublic double get(int i)
Vectorpublic Vector add(Vector that)
Vectoradd in interface Vectoradd in interface AbelianGroup<Vector>that - a vectorpublic DenseVector add(DenseVector that)
public Vector minus(Vector that)
Vectorminus in interface Vectorminus in interface AbelianGroup<Vector>that - a vectorpublic DenseVector minus(DenseVector that)
public DenseVector scaled(double c)
Vector
vector.scaled(1. / vector.norm())
public DenseVector scaled(Real c)
Vector
vector.scaled(1. / vector.norm())
scaled in interface Vectorscaled in interface VectorSpace<Vector,Real>c - a constantpublic DenseVector opposite()
Vectoropposite in interface Vectoropposite in interface AbelianGroup<Vector>public Vector multiply(Vector that)
Vectorthis by that, entry-by-entry.public DenseVector multiply(DenseVector that)
public Vector divide(Vector that)
Vectorthis by that, entry-by-entry.public DenseVector divide(DenseVector that)
public DenseVector add(double scalar)
Vectorpublic DenseVector minus(double scalar)
Vectorpublic DenseVector pow(double scalar)
Vectorpublic double norm(double p)
VectorDouble.POSITIVE_INFINITY), \(\|v\|_p =
\max|v_i|\).Double.NEGATIVE_INFINITY), \(\|v\|_p =
\min|v_i|\).norm in interface Vectorp - p ≥ 1, or Double.POSITIVE_INFINITY or
Double.NEGATIVE_INFINITYpublic double norm()
Vectornorm in interface Vectornorm in interface BanachSpace<Vector,Real>public double angle(Vector that)
Vectorthis and that.
That is,
\[
this \cdot that = \|this\| \times \|that\| \times \cos \theta
\]public double innerProduct(Vector that)
VectorinnerProduct in interface VectorinnerProduct in interface HilbertSpace<Vector,Real>that - a vectorpublic double innerProduct(DenseVector that)
public DenseVector ZERO()
VectorZERO in interface VectorZERO in interface AbelianGroup<Vector>public double[] toArray()
Vectordouble[].public DenseVector deepCopy()
DeepCopyablethis by the copy
constructor of the class, or just this if the instance itself is
immutable.deepCopy in interface VectordeepCopy in interface DeepCopyableCopyright © 2010-2020 NM FinTech Ltd.. All Rights Reserved.