Class ComplexMatrix
- java.lang.Object
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- dev.nm.algebra.linear.matrix.generic.matrixtype.ComplexMatrix
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- All Implemented Interfaces:
GenericMatrix<ComplexMatrix,Complex>,GenericMatrixAccess<Complex>,AbelianGroup<ComplexMatrix>,Monoid<ComplexMatrix>,Ring<ComplexMatrix>,VectorSpace<ComplexMatrix,Complex>,Table
public class ComplexMatrix extends Object implements GenericMatrix<ComplexMatrix,Complex>
This is aComplexmatrix.
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Constructor Summary
Constructors Constructor Description ComplexMatrix(double[][] data)Construct aComplexmatrix.ComplexMatrix(int nRows, int nCols)Construct aComplexmatrix.ComplexMatrix(Complex[][] data)Construct aComplexmatrix.
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Method Summary
All Methods Instance Methods Concrete Methods Modifier and Type Method Description ComplexMatrixadd(ComplexMatrix that)+ : G × G → GDenseMatrixdoubleValue()Construct aDenseMatrixequivalent of this Complex matrix (rounded if necessary).booleanequals(Object obj)Complexget(int row, int col)Get the matrix entry at [i,j].inthashCode()ComplexMatrixminus(ComplexMatrix that)- : G × G → GComplexMatrixmultiply(ComplexMatrix that)× : G × G → GintnCols()Gets the number of columns.intnRows()Gets the number of rows.ComplexMatrixONE()The multiplicative element 1 in the group such that for any elements a in the group, the equation 1 × a = a × 1 = a holds.ComplexMatrixopposite()For each a in G, there exists an element b in G such that a + b = b + a = 0.ComplexMatrixscaled(Complex scalar)× : F × V → Vvoidset(int row, int col, Complex value)Set the matrix entry at [i,j] to a value.StringtoString()ComplexMatrixZERO()The additive element 0 in the group, such that for all elements a in the group, the equation 0 + a = a + 0 = a holds.
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Constructor Detail
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ComplexMatrix
public ComplexMatrix(int nRows, int nCols)Construct aComplexmatrix.- Parameters:
nRows- the number of rowsnCols- the number of columns
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ComplexMatrix
public ComplexMatrix(Complex[][] data)
Construct aComplexmatrix.- Parameters:
data- a matrix data ofComplexnumbers in a 2D array
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ComplexMatrix
public ComplexMatrix(double[][] data)
Construct aComplexmatrix.- Parameters:
data- a matrix data ofdoubles in a 2D array
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Method Detail
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nRows
public int nRows()
Description copied from interface:TableGets the number of rows. Rows count from 1.
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nCols
public int nCols()
Description copied from interface:TableGets the number of columns. Columns count from 1.
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set
public void set(int row, int col, Complex value)Description copied from interface:GenericMatrixAccessSet the matrix entry at [i,j] to a value. This is the only method that may change a matrix.- Specified by:
setin interfaceGenericMatrixAccess<Complex>- Parameters:
row- the row indexcol- the column indexvalue- the value to set A[i,j] to
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get
public Complex get(int row, int col)
Description copied from interface:GenericMatrixAccessGet the matrix entry at [i,j].- Specified by:
getin interfaceGenericMatrixAccess<Complex>- Parameters:
row- the row indexcol- the column index- Returns:
- A[i,j]
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add
public ComplexMatrix add(ComplexMatrix that)
Description copied from interface:AbelianGroup+ : G × G → G- Specified by:
addin interfaceAbelianGroup<ComplexMatrix>- Parameters:
that- the object to be added- Returns:
- this + that
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minus
public ComplexMatrix minus(ComplexMatrix that)
Description copied from interface:AbelianGroup- : G × G → G The operation "-" is not in the definition of of an additive group but can be deduced. This function is provided for convenience purpose. It is equivalent to
.this.add(that.opposite())- Specified by:
minusin interfaceAbelianGroup<ComplexMatrix>- Parameters:
that- the object to be subtracted (subtrahend)- Returns:
- this - that
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multiply
public ComplexMatrix multiply(ComplexMatrix that)
Description copied from interface:Monoid× : G × G → G- Specified by:
multiplyin interfaceMonoid<ComplexMatrix>- Parameters:
that- the multiplicand- Returns:
- this × that
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scaled
public ComplexMatrix scaled(Complex scalar)
Description copied from interface:VectorSpace× : F × V → V The result of applying this function to a scalar, c, in F and v in V is denoted cv.- Specified by:
scaledin interfaceVectorSpace<ComplexMatrix,Complex>- Parameters:
scalar- a multiplier- Returns:
- c * this
- See Also:
- Wikipedia: Scalar multiplication
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opposite
public ComplexMatrix opposite()
Description copied from interface:AbelianGroupFor each a in G, there exists an element b in G such that a + b = b + a = 0. That is, it is the object such asthis.add(this.opposite()) == this.ZERO- Specified by:
oppositein interfaceAbelianGroup<ComplexMatrix>- Returns:
- -this, the additive opposite
- See Also:
- Wikipedia: Additive inverse
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ZERO
public ComplexMatrix ZERO()
Description copied from interface:AbelianGroupThe additive element 0 in the group, such that for all elements a in the group, the equation 0 + a = a + 0 = a holds.- Specified by:
ZEROin interfaceAbelianGroup<ComplexMatrix>- Returns:
- 0, the additive identity
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ONE
public ComplexMatrix ONE()
Description copied from interface:MonoidThe multiplicative element 1 in the group such that for any elements a in the group, the equation 1 × a = a × 1 = a holds.- Specified by:
ONEin interfaceMonoid<ComplexMatrix>- Returns:
- 1
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doubleValue
public DenseMatrix doubleValue()
Construct aDenseMatrixequivalent of this Complex matrix (rounded if necessary).- Returns:
- a
DenseMatrixequivalent
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