Uses of Class
com.imsl.math.Complex

Packages that use Complex
Package
Description
com.imsl
Utilities used by the library.
com.imsl.math
Mathematical functions and algorithms.

  • Uses of Complex in com.imsl

    Methods in com.imsl that return Complex
    Modifier and Type
    Method
    Description
    static Complex
    BLAS.dot(int n, Complex[] dx, int dx_off, int incx, Complex[] dy, int dy_off, int incy)
     
    static Complex
    BLAS.dot(int n, Complex[] x, int xoffset, Complex[] y, int yoffset)
     
    static Complex
    BLAS.dotc(int n, Complex[] dx, int dx_off, int incx, Complex[] dy, int dy_off, int incy)
     
    static Complex
    BLAS.dotc(int n, Complex[] x, int xoffset, Complex[] y, int yoffset)
     
    Methods in com.imsl with parameters of type Complex
    Modifier and Type
    Method
    Description
    static double
    BLAS.abs1(Complex z)
     
    static double
    BLAS.asum(int n, Complex[] sx, int offset_sx, int incx)
     
    static void
    BLAS.axpy(int n, Complex da, Complex[] dx, int dx_off, int incx, Complex[] dy, int dy_off, int incy)
     
    static void
    BLAS.axpy(int n, Complex a, Complex[] x, int xoffset, Complex[] y, int yoffset)
     
    static void
    BLAS.copy(int n, Complex[] sx, int xoffset, int incx, Complex[] sy, int yoffset, int incy)
     
    static Complex
    BLAS.dot(int n, Complex[] dx, int dx_off, int incx, Complex[] dy, int dy_off, int incy)
     
    static Complex
    BLAS.dot(int n, Complex[] x, int xoffset, Complex[] y, int yoffset)
     
    static Complex
    BLAS.dotc(int n, Complex[] dx, int dx_off, int incx, Complex[] dy, int dy_off, int incy)
     
    static Complex
    BLAS.dotc(int n, Complex[] x, int xoffset, Complex[] y, int yoffset)
     
    static void
    BLAS.gemm(char transa, char transb, int m, int n, int k, Complex alpha, Complex[] a, int offset_a, int lda, Complex[] b, int offset_b, int ldb, Complex beta, Complex[] c, int offset_c, int ldc)
     
    static void
    BLAS.gemv(char trans, int m, int n, Complex alpha, Complex[] a, int offset_a, int lda, Complex[] x, int offset_x, int incx, Complex beta, Complex[] y, int offset_y, int incy)
     
    static int
    BLAS.iamax(int n, Complex[] sx, int offset_sx, int incx)
     
    static void
    Core.permu(int n, Complex[] x, int[] ipermu, int ipath, Complex[] xpermu)
     
    static void
    BLAS.scal(int n, Complex da, Complex[] dx, int ix)
     
    static void
    BLAS.scal(int n, Complex da, Complex[] dx, int dx_off, int incx)
     
    static void
    BLAS.set(int n, Complex da, Complex[] dx, int ix, int incx)
     
    static void
    BLAS.trsm(char side, char uplo, char transa, char diag, int m, int n, Complex alpha, Complex[] a, int offset_a, int lda, Complex[] b, int offset_b, int ldb)
     
    static void
    BLAS.trsv(char uplo, char trans, char diag, int n, Complex[] a, int offset_a, int lda, Complex[] x, int offset_x, int incx)
     

  • Uses of Complex in com.imsl.math

    Fields in com.imsl.math declared as Complex
    Modifier and Type
    Field
    Description
    protected Complex[][]
    ComplexLU.factor
    This is an n by n Complex matrix containing the LU factorization of the matrix A.
    static final Complex
    Complex.i
    The imaginary unit.
    Complex[][]
    ComplexSparseMatrix.SparseArray.values
    Jagged array containing sparse array values.
    Methods in com.imsl.math that return Complex
    Modifier and Type
    Method
    Description
    static Complex
    Complex.acos(Complex z)
    Returns the inverse cosine (arc cosine) of a Complex, with branch cuts outside the interval [-1,1] along the real axis.
    static Complex
    Complex.acosh(Complex z)
    \( \DeclareMathOperator{\arccosh}{arccosh} \) Returns the inverse hyperbolic cosine (arc cosh) of a Complex, with a branch cut at values less than one along the real axis.
    static Complex
    Complex.add(double x, Complex y)
    Returns the sum of a double and a Complex, x+y.
    static Complex
    Complex.add(Complex x, double y)
    Returns the sum of a Complex and a double, x+y.
    static Complex
    Complex.add(Complex x, Complex y)
    Returns the sum of two Complex objects, x+y.
    static Complex[][]
    ComplexMatrix.add(Complex[][] a, Complex[][] b)
    Add two rectangular Complex arrays, a + b.
    static Complex
    Complex.asin(Complex z)
    \( \DeclareMathOperator{\arcsinh}{arcsinh} \) Returns the inverse sine (arc sine) of a Complex, with branch cuts outside the interval [-1,1] along the real axis.
    static Complex
    Complex.asinh(Complex z)
    Returns the inverse hyperbolic sine (arc sinh) of a Complex, with branch cuts outside the interval [-i,i].
    static Complex
    Complex.atan(Complex z)
    \( \DeclareMathOperator{\arctanh}{arctanh} \) Returns the inverse tangent (arc tangent) of a Complex, with branch cuts outside the interval [-i,i] along the imaginary axis.
    static Complex
    Complex.atanh(Complex z)
    Returns the inverse hyperbolic tangent (arc tanh) of a Complex, with branch cuts outside the interval [-1,1] on the real axis.
    Complex[]
    ComplexFFT.backward(Complex[] coef)
    Compute the complex periodic sequence from its Fourier coefficients.
    Complex[]
    ZeroPolynomial.computeRoots(double[] coef)
    Computes the roots of the polynomial with real coefficients.
    Complex[]
    ZeroPolynomial.computeRoots(Complex[] coef)
    Computes the roots of the polynomial with Complex coefficients.
    static Complex
    Complex.conjugate(Complex z)
    Returns the complex conjugate of a Complex object.
    static Complex
    Complex.cos(Complex z)
    Returns the cosine of a Complex.
    static Complex
    Complex.cosh(Complex z)
    Returns the hyperbolic cosh of a Complex.
    Complex
    ComplexLU.determinant()
    Return the determinant of the matrix used to construct this instance.
    static Complex
    Complex.divide(double x, Complex y)
    Returns the result of a double divided by a Complex object, x/y.
    static Complex
    Complex.divide(Complex x, double y)
    Returns the result of a Complex object divided by a double, x/y.
    static Complex
    Complex.divide(Complex x, Complex y)
    Returns the result of a Complex object divided by a Complex object, x/y.
    static Complex
    Complex.exp(Complex z)
    Returns the exponential of a Complex z, exp(z).
    Complex[]
    ComplexFFT.forward(Complex[] seq)
    Compute the Fourier coefficients of a complex periodic sequence.
    Complex
    ComplexSparseMatrix.get(int iRow, int jColumn)
    Returns the value of an element in the matrix.
    Complex[][]
    ComplexSVD.getInverse()
    Compute the Moore-Penrose generalized inverse.
    Complex[][]
    ComplexLU.getL()
    Returns the lower triangular portion of the LU factorization of A.
    Complex[][]
    ComplexLU.getPermutationMatrix()
    Returns the permutation matrix which results from the LU factorization of A.
    Complex
    ZeroPolynomial.getRoot(int index)
    Returns a zero of the polynomial.
    Complex[]
    ZeroPolynomial.getRoots()
    Returns the zeros of the polynomial.
    Complex[][]
    ComplexLU.getU()
    Returns the unit upper triangular portion of the LU factorization of A.
    Complex[][]
    ComplexSVD.getU()
    Returns the left singular vectors.
    Complex[][]
    ComplexSVD.getV()
    Returns the right singular vectors.
    Complex[]
    ComplexEigen.getValues()
    Returns the eigenvalues of a matrix of type Complex.
    Complex[]
    Eigen.getValues()
    Returns the eigenvalues of a matrix of type double.
    Complex[][]
    ComplexEigen.getVectors()
    Returns the eigenvectors of the input matrix.
    Complex[][]
    Eigen.getVectors()
    Returns the eigenvectors.
    Complex[][]
    ComplexLU.inverse()
    Returns the inverse of the matrix used to construct this instance.
    static Complex
    Complex.log(Complex z)
    Returns the logarithm of a Complex z, with a branch cut along the negative real axis.
    static Complex
    Complex.multiply(double x, Complex y)
    Returns the product of a double and a Complex object, x * y.
    static Complex
    Complex.multiply(Complex x, double y)
    Returns the product of a Complex object and a double, x * y.
    static Complex
    Complex.multiply(Complex x, Complex y)
    Returns the product of two Complex objects, x * y.
    static Complex[]
    ComplexMatrix.multiply(Complex[][] a, Complex[] x)
    Multiply the rectangular array a and the column vector x, both Complex.
    static Complex[][]
    ComplexMatrix.multiply(Complex[][] a, Complex[][] b)
    Multiply two Complex rectangular arrays, a * b.
    static Complex[][]
    ComplexMatrix.multiply(Complex[][] a, Complex[][] b, int numberOfThreads)
    Multiply two Complex rectangular arrays, a * b, using multiple java.lang.Threads.
    static Complex[]
    ComplexMatrix.multiply(Complex[][] a, ComplexMatrix.MatrixType aType, Complex[] x)
    Multiply the rectangular array a and the column vector x, both Complex.
    static Complex[][]
    ComplexMatrix.multiply(Complex[][] a, ComplexMatrix.MatrixType aType, Complex[][] b, ComplexMatrix.MatrixType bType, int numberOfThreads)
    Multiply two Complex rectangular arrays of type MatrixType, a * b, using multiple java.lang.Threads.
    static Complex[]
    ComplexMatrix.multiply(Complex[] x, Complex[][] a)
    Return the product of the row vector x and the rectangular array a, both Complex.
    static Complex[]
    ComplexMatrix.multiply(Complex[] x, Complex[][] a, ComplexMatrix.MatrixType aType)
    Return the product of the row vector x and the rectangular array a, both Complex.
    static Complex
    ComplexMatrix.multiply(Complex[] x, Complex[][] a, ComplexMatrix.MatrixType aType, Complex[] y, boolean equalVectors)
    Compute vector-matrix-vector product trans(conj(x)) * a * y.
    Complex[]
    ComplexSparseMatrix.multiply(Complex[] x)
    Multiply the matrix by a vector.
    static Complex[]
    ComplexSparseMatrix.multiply(Complex[] x, ComplexSparseMatrix A)
    Multiply row array x and sparse matrix A, \(x^TA \).
    static Complex[]
    ComplexSparseMatrix.multiply(ComplexSparseMatrix A, Complex[] x)
    Multiply sparse matrix A and column array x, \(A x\).
    static Complex[]
    ComplexSparseMatrix.multiplyHermitian(ComplexSparseMatrix A, Complex[] x)
    Multiply sparse Hermitian matrix A and column vector x.
    static Complex
    Complex.multiplyImag(double x, Complex y)
    Returns the product of a pure imaginary double and a Complex object, ix * y.
    static Complex
    Complex.multiplyImag(Complex x, double y)
    Returns the product of a Complex object and a pure imaginary double, x * iy.
    static Complex
    Complex.negate(Complex z)
    Returns the negative of a Complex object, -z.
    Complex
    ComplexSparseMatrix.plusEquals(int iRow, int jColumn, Complex x)
    Adds a value to an element in the matrix.
    static Complex
    Complex.pow(Complex z, double x)
    Returns the Complex z raised to the x power, with a branch cut for the first parameter (z) along the negative real axis.
    static Complex
    Complex.pow(Complex x, Complex y)
    Returns the Complex x raised to the Complex y power.
    static Complex
    Complex.sin(Complex z)
    Returns the sine of a Complex.
    static Complex
    Complex.sinh(Complex z)
    Returns the hyperbolic sine of a Complex.
    Complex[]
    ComplexLU.solve(Complex[] b)
    Return the solution x of the linear system Ax = b using the LU factorization of A.
    static Complex[]
    ComplexLU.solve(Complex[][] a, Complex[] b)
    Solve Ax = b for x using the LU factorization of A.
    Complex[]
    ComplexSparseCholesky.solve(Complex[] b)
    Computes the solution of a sparse Hermitian positive definite system of linear equations \(Ax=b\).
    Complex[]
    ComplexSuperLU.solve(Complex[] b)
    Computation of the solution vector for the system \( Ax = b\).
    Complex[]
    ComplexSuperLU.solveConjugateTranspose(Complex[] b)
    Computation of the solution vector for the system \( A^Hx = b\).
    Complex[]
    ComplexLU.solveTranspose(Complex[] b)
    Return the solution x of the linear system \(A^T x = b\).
    Complex[]
    ComplexSuperLU.solveTranspose(Complex[] b)
    Computation of the solution vector for the system \( A^Tx = b\).
    static Complex
    Complex.sqrt(Complex z)
    Returns the square root of a Complex, with a branch cut along the negative real axis.
    static Complex
    Complex.subtract(double x, Complex y)
    Returns the difference of a double and a Complex object, x-y.
    static Complex
    Complex.subtract(Complex x, double y)
    Returns the difference of a Complex object and a double, x-y.
    static Complex
    Complex.subtract(Complex x, Complex y)
    Returns the difference of two Complex objects, x-y.
    static Complex[][]
    ComplexMatrix.subtract(Complex[][] a, Complex[][] b)
    Subtract two Complex rectangular arrays, a - b.
    static Complex
    Complex.tan(Complex z)
    Returns the tangent of a Complex.
    static Complex
    Complex.tanh(Complex z)
    Returns the hyperbolic tanh of a Complex.
    Complex[][]
    ComplexSparseMatrix.toDenseMatrix()
    Returns the sparse matrix as a dense matrix.
    static Complex[][]
    ComplexMatrix.transpose(Complex[][] a)
    Return the transpose of a Complex matrix.
    static Complex
    Complex.valueOf(String s)
    Parses a String into a Complex.
    Methods in com.imsl.math with parameters of type Complex
    Modifier and Type
    Method
    Description
    static double
    Complex.abs(Complex z)
    Returns the absolute value (modulus) of a Complex, |z|.
    static Complex
    Complex.acos(Complex z)
    Returns the inverse cosine (arc cosine) of a Complex, with branch cuts outside the interval [-1,1] along the real axis.
    static Complex
    Complex.acosh(Complex z)
    \( \DeclareMathOperator{\arccosh}{arccosh} \) Returns the inverse hyperbolic cosine (arc cosh) of a Complex, with a branch cut at values less than one along the real axis.
    static Complex
    Complex.add(double x, Complex y)
    Returns the sum of a double and a Complex, x+y.
    static Complex
    Complex.add(Complex x, double y)
    Returns the sum of a Complex and a double, x+y.
    static Complex
    Complex.add(Complex x, Complex y)
    Returns the sum of two Complex objects, x+y.
    static Complex[][]
    ComplexMatrix.add(Complex[][] a, Complex[][] b)
    Add two rectangular Complex arrays, a + b.
    static ComplexSparseMatrix
    ComplexSparseMatrix.add(Complex alpha, Complex beta, ComplexSparseMatrix A, ComplexSparseMatrix B)
    Performs element-wise addition of two complex sparse matrices A, B of type ComplexSparseMatrix, \(C \leftarrow \alpha A + \beta B.\)
    static double
    Complex.argument(Complex z)
    Returns the argument (phase) of a Complex, in radians, with a branch cut along the negative real axis.
    static Complex
    Complex.asin(Complex z)
    \( \DeclareMathOperator{\arcsinh}{arcsinh} \) Returns the inverse sine (arc sine) of a Complex, with branch cuts outside the interval [-1,1] along the real axis.
    static Complex
    Complex.asinh(Complex z)
    Returns the inverse hyperbolic sine (arc sinh) of a Complex, with branch cuts outside the interval [-i,i].
    static Complex
    Complex.atan(Complex z)
    \( \DeclareMathOperator{\arctanh}{arctanh} \) Returns the inverse tangent (arc tangent) of a Complex, with branch cuts outside the interval [-i,i] along the imaginary axis.
    static Complex
    Complex.atanh(Complex z)
    Returns the inverse hyperbolic tangent (arc tanh) of a Complex, with branch cuts outside the interval [-1,1] on the real axis.
    Complex[]
    ComplexFFT.backward(Complex[] coef)
    Compute the complex periodic sequence from its Fourier coefficients.
    static void
    ComplexMatrix.checkMatrix(Complex[][] a)
    Check that all of the rows in the Complex matrix have the same length.
    static void
    ComplexMatrix.CheckMatrix(Complex[][] a)
    Deprecated.
    Use ComplexMatrix.checkMatrix(Complex[][]) instead.
    static void
    ComplexMatrix.checkSquareMatrix(Complex[][] a)
    Check that the Complex matrix is square.
    static void
    ComplexMatrix.CheckSquareMatrix(Complex[][] a)
    Deprecated.
    Use ComplexMatrix.checkSquareMatrix(Complex[][]) instead.
    int
    Complex.compareTo(Complex z)
    Compares two Complex objects.
    Complex[]
    ZeroPolynomial.computeRoots(Complex[] coef)
    Computes the roots of the polynomial with Complex coefficients.
    double
    ComplexLU.condition(Complex[][] a)
    Return an estimate of the reciprocal of the \(L_1\) condition number.
    static Complex
    Complex.conjugate(Complex z)
    Returns the complex conjugate of a Complex object.
    static Complex
    Complex.cos(Complex z)
    Returns the cosine of a Complex.
    static Complex
    Complex.cosh(Complex z)
    Returns the hyperbolic cosh of a Complex.
    static Complex
    Complex.divide(double x, Complex y)
    Returns the result of a double divided by a Complex object, x/y.
    static Complex
    Complex.divide(Complex x, double y)
    Returns the result of a Complex object divided by a double, x/y.
    static Complex
    Complex.divide(Complex x, Complex y)
    Returns the result of a Complex object divided by a Complex object, x/y.
    boolean
    Complex.equals(Complex z)
    Compares with another Complex.
    static Complex
    Complex.exp(Complex z)
    Returns the exponential of a Complex z, exp(z).
    Complex[]
    ComplexFFT.forward(Complex[] seq)
    Compute the Fourier coefficients of a complex periodic sequence.
    static double
    ComplexMatrix.frobeniusNorm(Complex[][] a)
    Return the Frobenius norm of a Complex matrix.
    static double
    Complex.imag(Complex z)
    Returns the imaginary part of a Complex object.
    static double
    ComplexMatrix.infinityNorm(Complex[][] a)
    Return the infinity norm of a Complex matrix.
    static boolean
    ComplexMatrix.isHermitian(Complex[][] a)
    Check if the Complex matrix is Hermitian.
    static boolean
    ComplexMatrix.isSymmetric(Complex[][] a)
    Check if the Complex matrix is symmetric.
    static Complex
    Complex.log(Complex z)
    Returns the logarithm of a Complex z, with a branch cut along the negative real axis.
    static Complex
    Complex.multiply(double x, Complex y)
    Returns the product of a double and a Complex object, x * y.
    static Complex
    Complex.multiply(Complex x, double y)
    Returns the product of a Complex object and a double, x * y.
    static Complex
    Complex.multiply(Complex x, Complex y)
    Returns the product of two Complex objects, x * y.
    static Complex[]
    ComplexMatrix.multiply(Complex[][] a, Complex[] x)
    Multiply the rectangular array a and the column vector x, both Complex.
    static Complex[][]
    ComplexMatrix.multiply(Complex[][] a, Complex[][] b)
    Multiply two Complex rectangular arrays, a * b.
    static Complex[][]
    ComplexMatrix.multiply(Complex[][] a, Complex[][] b, int numberOfThreads)
    Multiply two Complex rectangular arrays, a * b, using multiple java.lang.Threads.
    static Complex[]
    ComplexMatrix.multiply(Complex[][] a, ComplexMatrix.MatrixType aType, Complex[] x)
    Multiply the rectangular array a and the column vector x, both Complex.
    static Complex[][]
    ComplexMatrix.multiply(Complex[][] a, ComplexMatrix.MatrixType aType, Complex[][] b, ComplexMatrix.MatrixType bType, int numberOfThreads)
    Multiply two Complex rectangular arrays of type MatrixType, a * b, using multiple java.lang.Threads.
    static Complex[]
    ComplexMatrix.multiply(Complex[] x, Complex[][] a)
    Return the product of the row vector x and the rectangular array a, both Complex.
    static Complex[]
    ComplexMatrix.multiply(Complex[] x, Complex[][] a, ComplexMatrix.MatrixType aType)
    Return the product of the row vector x and the rectangular array a, both Complex.
    static Complex
    ComplexMatrix.multiply(Complex[] x, Complex[][] a, ComplexMatrix.MatrixType aType, Complex[] y, boolean equalVectors)
    Compute vector-matrix-vector product trans(conj(x)) * a * y.
    Complex[]
    ComplexSparseMatrix.multiply(Complex[] x)
    Multiply the matrix by a vector.
    static Complex[]
    ComplexSparseMatrix.multiply(Complex[] x, ComplexSparseMatrix A)
    Multiply row array x and sparse matrix A, \(x^TA \).
    static Complex[]
    ComplexSparseMatrix.multiply(ComplexSparseMatrix A, Complex[] x)
    Multiply sparse matrix A and column array x, \(A x\).
    static Complex[]
    ComplexSparseMatrix.multiplyHermitian(ComplexSparseMatrix A, Complex[] x)
    Multiply sparse Hermitian matrix A and column vector x.
    static Complex
    Complex.multiplyImag(double x, Complex y)
    Returns the product of a pure imaginary double and a Complex object, ix * y.
    static Complex
    Complex.multiplyImag(Complex x, double y)
    Returns the product of a Complex object and a pure imaginary double, x * iy.
    static Complex
    Complex.negate(Complex z)
    Returns the negative of a Complex object, -z.
    static double
    ComplexMatrix.oneNorm(Complex[][] a)
    Return the Complex matrix one norm.
    Complex
    ComplexSparseMatrix.plusEquals(int iRow, int jColumn, Complex x)
    Adds a value to an element in the matrix.
    static Complex
    Complex.pow(Complex z, double x)
    Returns the Complex z raised to the x power, with a branch cut for the first parameter (z) along the negative real axis.
    static Complex
    Complex.pow(Complex x, Complex y)
    Returns the Complex x raised to the Complex y power.
    static double
    Complex.real(Complex z)
    Returns the real part of a Complex object.
    void
    ComplexSparseMatrix.set(int iRow, int jColumn, Complex x)
    Sets the value of an element in the matrix.
    static Complex
    Complex.sin(Complex z)
    Returns the sine of a Complex.
    static Complex
    Complex.sinh(Complex z)
    Returns the hyperbolic sine of a Complex.
    Complex[]
    ComplexLU.solve(Complex[] b)
    Return the solution x of the linear system Ax = b using the LU factorization of A.
    static Complex[]
    ComplexLU.solve(Complex[][] a, Complex[] b)
    Solve Ax = b for x using the LU factorization of A.
    Complex[]
    ComplexSparseCholesky.solve(Complex[] b)
    Computes the solution of a sparse Hermitian positive definite system of linear equations \(Ax=b\).
    Complex[]
    ComplexSuperLU.solve(Complex[] b)
    Computation of the solution vector for the system \( Ax = b\).
    Complex[]
    ComplexSuperLU.solveConjugateTranspose(Complex[] b)
    Computation of the solution vector for the system \( A^Hx = b\).
    Complex[]
    ComplexLU.solveTranspose(Complex[] b)
    Return the solution x of the linear system \(A^T x = b\).
    Complex[]
    ComplexSuperLU.solveTranspose(Complex[] b)
    Computation of the solution vector for the system \( A^Tx = b\).
    static Complex
    Complex.sqrt(Complex z)
    Returns the square root of a Complex, with a branch cut along the negative real axis.
    static Complex
    Complex.subtract(double x, Complex y)
    Returns the difference of a double and a Complex object, x-y.
    static Complex
    Complex.subtract(Complex x, double y)
    Returns the difference of a Complex object and a double, x-y.
    static Complex
    Complex.subtract(Complex x, Complex y)
    Returns the difference of two Complex objects, x-y.
    static Complex[][]
    ComplexMatrix.subtract(Complex[][] a, Complex[][] b)
    Subtract two Complex rectangular arrays, a - b.
    static Complex
    Complex.tan(Complex z)
    Returns the tangent of a Complex.
    static Complex
    Complex.tanh(Complex z)
    Returns the hyperbolic tanh of a Complex.
    static Complex[][]
    ComplexMatrix.transpose(Complex[][] a)
    Return the transpose of a Complex matrix.
    Constructors in com.imsl.math with parameters of type Complex
    Modifier
    Constructor
    Description
     
    Complex(Complex z)
    Constructs a Complex equal to the argument.
     
    ComplexEigen(Complex[][] a)
    Constructor for the computation of the eigenvalues and eigenvectors of a complex square matrix.
     
    ComplexLU(Complex[][] a)
    Creates the LU factorization of a square matrix of type Complex.
     
    ComplexSparseMatrix(int nRows, int nColumns, int[][] index, Complex[][] values)
    Constructs a sparse matrix from SparseArray (Java Sparse Array) data.
     
    ComplexSVD(Complex[][] a)
    Construct the singular value decomposition of a rectangular matrix with default tolerance.
     
    ComplexSVD(Complex[][] a, double tol)
    Construct the singular value decomposition of a rectangular matrix with a given tolerance.