public class ComplexMatrix extends Matrix
Modifier and Type | Field and Description |
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protected static int |
ARRAY_2D
Storage format identifier.
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protected double[][] |
matrixIm
Arrays containing the elements of the matrix.
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protected double[][] |
matrixRe
Arrays containing the elements of the matrix.
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CLASS_SPECIFIC, numCols, numRows, storageFormat
Modifier | Constructor and Description |
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ComplexMatrix(Complex[][] array)
Constructs a matrix from an array.
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ComplexMatrix(ComplexVector[] array)
Constructs a matrix from an array of vectors (columns).
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ComplexMatrix(double[][] arrayRe,
double[][] arrayIm)
Constructs a matrix by wrapping two arrays.
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ComplexMatrix(int rows,
int cols)
Constructs an empty matrix.
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protected |
ComplexMatrix(int rows,
int cols,
int storeID)
Constructs a matrix.
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Modifier and Type | Method and Description |
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AbelianGroup.Member |
add(AbelianGroup.Member m)
Returns the addition of this matrix and another.
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ComplexMatrix |
add(ComplexMatrix m)
Returns the addition of this matrix and another.
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ComplexMatrix |
conjugate()
Returns the complex conjugate of this matrix.
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ComplexMatrix |
directSum(ComplexMatrix m)
Returns the direct sum of this matrix and another.
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boolean |
equals(java.lang.Object m)
Compares two complex matrices for equality.
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protected void |
finalize()
Finalize.
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double |
frobeniusNorm()
Returns the Frobenius (l2) norm.
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Complex |
getElement(int i,
int j)
Returns an element of the matrix.
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int |
hashCode()
Returns a hashcode for this matrix.
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ComplexMatrix |
hermitianAdjoint()
Returns the hermitian adjoint of this matrix.
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DoubleMatrix |
imag()
Returns the imaginary part of this complex matrix.
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double |
infNorm()
Returns the l
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ComplexMatrix |
mapElements(ComplexMapping f)
Applies a function on all the matrix elements.
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ComplexMatrix |
multiply(ComplexMatrix m)
Returns the multiplication of this matrix and another.
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ComplexVector |
multiply(ComplexVector v)
Returns the multiplication of a vector by this matrix.
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Ring.Member |
multiply(Ring.Member m)
Returns the multiplication of this matrix and another.
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AbelianGroup.Member |
negate()
Returns the negative of this matrix.
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DoubleMatrix |
real()
Returns the real part of this complex matrix.
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ComplexMatrix |
scalarDivide(Complex z)
Returns the division of this matrix by a scalar.
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ComplexMatrix |
scalarDivide(double x)
Returns the division of this matrix by a scalar.
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VectorSpace.Member |
scalarDivide(Field.Member x)
Returns the division of this matrix by a scalar.
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ComplexMatrix |
scalarMultiply(Complex z)
Returns the multiplication of this matrix by a scalar.
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ComplexMatrix |
scalarMultiply(double x)
Returns the multiplication of this matrix by a scalar.
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Module.Member |
scalarMultiply(Ring.Member x)
Returns the multiplication of this matrix by a scalar.
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void |
setElement(int i,
int j,
Complex z)
Sets the value of an element of the matrix.
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void |
setElement(int i,
int j,
double x,
double y)
Sets the value of an element of the matrix.
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AbelianGroup.Member |
subtract(AbelianGroup.Member m)
Returns the subtraction of this matrix by another.
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ComplexMatrix |
subtract(ComplexMatrix m)
Returns the subtraction of this matrix by another.
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ComplexMatrix |
tensorProduct(ComplexMatrix m)
Returns the tensor product of this matrix and another.
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java.lang.String |
toString()
Returns a string representing this matrix.
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Matrix |
transpose()
Returns the transpose of this matrix.
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columns, getInvalidElementMsg, rows
protected static final int ARRAY_2D
protected double[][] matrixRe
protected double[][] matrixIm
protected ComplexMatrix(int rows, int cols, int storeID)
public ComplexMatrix(int rows, int cols)
rows
- the number of rowscols
- the number of columnspublic ComplexMatrix(double[][] arrayRe, double[][] arrayIm)
arrayRe
- an array of real valuesarrayIm
- an array of imaginary valuespublic ComplexMatrix(Complex[][] array)
array
- an assigned valuepublic ComplexMatrix(ComplexVector[] array)
array
- an assigned valueprotected void finalize() throws java.lang.Throwable
finalize
in class java.lang.Object
java.lang.Throwable
- Any that occur.public boolean equals(java.lang.Object m)
equals
in class java.lang.Object
m
- a complex matrixpublic java.lang.String toString()
toString
in class java.lang.Object
public int hashCode()
hashCode
in class java.lang.Object
public DoubleMatrix real()
public DoubleMatrix imag()
public Complex getElement(int i, int j)
i
- row index of the elementj
- column index of the elementMatrixDimensionException
- If attempting to access an invalid element.public void setElement(int i, int j, Complex z)
i
- row index of the elementj
- column index of the elementz
- a complex numberMatrixDimensionException
- If attempting to access an invalid element.public void setElement(int i, int j, double x, double y)
i
- row index of the elementj
- column index of the elementx
- the real part of a complex numbery
- the imaginary part of a complex numberMatrixDimensionException
- If attempting to access an invalid element.public double infNorm()
public double frobeniusNorm()
public AbelianGroup.Member negate()
public AbelianGroup.Member add(AbelianGroup.Member m)
m
- a group memberpublic ComplexMatrix add(ComplexMatrix m)
m
- a complex matrixMatrixDimensionException
- If the matrices are different sizes.public AbelianGroup.Member subtract(AbelianGroup.Member m)
m
- a group memberpublic ComplexMatrix subtract(ComplexMatrix m)
m
- a complex matrixMatrixDimensionException
- If the matrices are different sizes.public Module.Member scalarMultiply(Ring.Member x)
x
- a ring memberpublic ComplexMatrix scalarMultiply(Complex z)
z
- a complex numberpublic ComplexMatrix scalarMultiply(double x)
x
- a doublepublic VectorSpace.Member scalarDivide(Field.Member x)
x
- a field memberpublic ComplexMatrix scalarDivide(Complex z)
z
- a complex numberpublic ComplexMatrix scalarDivide(double x)
x
- a doublepublic ComplexVector multiply(ComplexVector v)
v
- a complex vectorDimensionException
- If the matrix and vector are incompatible.public Ring.Member multiply(Ring.Member m)
m
- a ring memberpublic ComplexMatrix multiply(ComplexMatrix m)
m
- a complex matrixMatrixDimensionException
- If the matrices are incompatible.public ComplexMatrix directSum(ComplexMatrix m)
public ComplexMatrix tensorProduct(ComplexMatrix m)
public ComplexMatrix hermitianAdjoint()
public ComplexMatrix conjugate()
public Matrix transpose()
public ComplexMatrix mapElements(ComplexMapping f)
f
- a user-defined function