scalation.linalgebra

MatrixR

class MatrixR extends Matrir with Error with Serializable

The MatrixR class stores and operates on Numeric Matrices of type Rational. This class follows the MatrixN framework and is provided for efficieny.

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Serializable, Serializable, Matrir, Error, AnyRef, Any
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  1. MatrixR
  2. Serializable
  3. Serializable
  4. Matrir
  5. Error
  6. AnyRef
  7. Any
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Instance Constructors

  1. new MatrixR(u: MatrixR)

    Construct a matrix and assign values from matrix u.

    Construct a matrix and assign values from matrix u.

    u

    the matrix of values to assign

  2. new MatrixR(u: Array[VectorR])

    Construct a matrix and assign values from array of vectors u.

    Construct a matrix and assign values from array of vectors u.

    u

    the 2D array of values to assign

  3. new MatrixR(dim: (Int, Int), u00: Double, u: Double*)

    Construct a matrix from repeated real values.

    Construct a matrix from repeated real values.

    dim

    the (row, column) dimensions

    u00

    the first value (necessary due to type erasure)

    u

    the rest of the repeated values

  4. new MatrixR(dim: (Int, Int), u: Rational*)

    Construct a matrix from repeated values.

    Construct a matrix from repeated values.

    dim

    the (row, column) dimensions

    u

    the repeated values

  5. new MatrixR(u: Array[Array[Rational]])

    Construct a matrix and assign values from array of arrays u.

    Construct a matrix and assign values from array of arrays u.

    u

    the 2D array of values to assign

  6. new MatrixR(dim1: Int, x: Rational, y: Rational)

    Construct a dim1 by dim1 square matrix with x assigned on the diagonal and y assigned off the diagonal.

    Construct a dim1 by dim1 square matrix with x assigned on the diagonal and y assigned off the diagonal. To obtain an identity matrix, let x = 1 and y = 0.

    dim1

    the row and column dimension

    x

    the scalar value to assign on the diagonal

    y

    the scalar value to assign off the diagonal

  7. new MatrixR(dim1: Int, dim2: Int, x: Rational)

    Construct a dim1 by dim2 matrix and assign each element the value x.

    Construct a dim1 by dim2 matrix and assign each element the value x.

    dim1

    the row dimension

    dim2

    the column dimesion

    x

    the scalar value to assign

  8. new MatrixR(dim1: Int)

    Construct a dim1 by dim1 square matrix.

    Construct a dim1 by dim1 square matrix.

    dim1

    the row and column dimension

  9. new MatrixR(d1: Int, d2: Int, v: Array[Array[Rational]] = null)

    d1

    the first/row dimension

    d2

    the second/column dimension

    v

    the 2D array used to store matrix elements

Value Members

  1. final def !=(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  2. final def !=(arg0: Any): Boolean

    Definition Classes
    Any
  3. final def ##(): Int

    Definition Classes
    AnyRef → Any
  4. def *(x: Rational): MatrixR

    Multiply this matrix by scalar x.

    Multiply this matrix by scalar x.

    x

    the scalar to multiply by

    Definition Classes
    MatrixRMatrir
  5. def *(u: VectorR): VectorR

    Multiply this matrix by vector u (efficient solution).

    Multiply this matrix by vector u (efficient solution).

    u

    the vector to multiply by

    Definition Classes
    MatrixRMatrir
  6. def *(b: MatrixR): MatrixR

    Multiply this matrix by matrix b (efficient solution).

    Multiply this matrix by matrix b (efficient solution).

    b

    the matrix to multiply by (requires sameCrossDimensions)

  7. def **(u: VectorR): MatrixR

    Multiply this matrix by vector u to produce another matrix (a_ij * b_j)

    Multiply this matrix by vector u to produce another matrix (a_ij * b_j)

    u

    the vector to multiply by

    Definition Classes
    MatrixRMatrir
  8. def **=(u: VectorR): MatrixR

    Multiply in-place this matrix by vector u to produce another matrix (a_ij * b_j)

    Multiply in-place this matrix by vector u to produce another matrix (a_ij * b_j)

    u

    the vector to multiply by

    Definition Classes
    MatrixRMatrir
  9. def *=(x: Rational): MatrixR

    Multiply in-place this matrix by scalar x.

    Multiply in-place this matrix by scalar x.

    x

    the scalar to multiply by

    Definition Classes
    MatrixRMatrir
  10. def *=(b: MatrixR): MatrixR

    Multiply in-place this matrix by matrix b.

    Multiply in-place this matrix by matrix b. If b and this reference the same matrix (b == this), a copy of the this matrix is made.

    b

    the matrix to multiply by (requires square and sameCrossDimensions)

  11. def +(x: Rational): MatrixR

    Add this matrix and scalar x.

    Add this matrix and scalar x.

    x

    the scalar to add

    Definition Classes
    MatrixRMatrir
  12. def +(b: MatrixR): MatrixR

    Add this matrix and matrix b.

    Add this matrix and matrix b.

    b

    the matrix to add (requires leDimensions)

  13. def ++(u: VectorR): MatrixR

    Concatenate this matrix and vector u.

    Concatenate this matrix and vector u.

    u

    the vector to be concatenated as the new last row in matrix

    Definition Classes
    MatrixRMatrir
  14. def +=(x: Rational): MatrixR

    Add in-place this matrix and scalar x.

    Add in-place this matrix and scalar x.

    x

    the scalar to add

    Definition Classes
    MatrixRMatrir
  15. def +=(b: MatrixR): MatrixR

    Add in-place this matrix and matrix b.

    Add in-place this matrix and matrix b.

    b

    the matrix to add (requires leDimensions)

  16. def -(x: Rational): MatrixR

    From this matrix subtract scalar x.

    From this matrix subtract scalar x.

    x

    the scalar to subtract

    Definition Classes
    MatrixRMatrir
  17. def -(b: MatrixR): MatrixR

    From this matrix subtract matrix b.

    From this matrix subtract matrix b.

    b

    the matrix to subtract (requires leDimensions)

  18. def -=(x: Rational): MatrixR

    From this matrix subtract in-place scalar x.

    From this matrix subtract in-place scalar x.

    x

    the scalar to subtract

    Definition Classes
    MatrixRMatrir
  19. def -=(b: MatrixR): MatrixR

    From this matrix subtract in-place matrix b.

    From this matrix subtract in-place matrix b.

    b

    the matrix to subtract (requires leDimensions)

  20. def /(x: Rational): MatrixR

    Divide this matrix by scalar x.

    Divide this matrix by scalar x.

    x

    the scalar to divide by

    Definition Classes
    MatrixRMatrir
  21. def /=(x: Rational): MatrixR

    Divide in-place this matrix by scalar x.

    Divide in-place this matrix by scalar x.

    x

    the scalar to divide by

    Definition Classes
    MatrixRMatrir
  22. final def ==(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  23. final def ==(arg0: Any): Boolean

    Definition Classes
    Any
  24. def apply(i: Int, jr: Range): VectorR

    Get a slice this matrix row-wise at index i and column-wise on range jr.

    Get a slice this matrix row-wise at index i and column-wise on range jr. Ex: u = a(2, 3..5)

    i

    the row index

    jr

    the column range

    Definition Classes
    MatrixRMatrir
  25. def apply(ir: Range, j: Int): VectorR

    Get a slice this matrix row-wise on range ir and column-wise at index j.

    Get a slice this matrix row-wise on range ir and column-wise at index j. Ex: u = a(2..4, 3)

    ir

    the row range

    j

    the column index

    Definition Classes
    MatrixRMatrir
  26. def apply(ir: Range, jr: Range): MatrixR

    Get a slice this matrix row-wise on range ir and column-wise on range jr.

    Get a slice this matrix row-wise on range ir and column-wise on range jr. Ex: b = a(2..4, 3..5)

    ir

    the row range

    jr

    the column range

    Definition Classes
    MatrixRMatrir
  27. def apply(i: Int): VectorR

    Get this matrix's vector at the i-th index position (i-th row).

    Get this matrix's vector at the i-th index position (i-th row).

    i

    the row index

    Definition Classes
    MatrixRMatrir
  28. def apply(i: Int, j: Int): Rational

    Get this matrix's element at the i,j-th index position.

    Get this matrix's element at the i,j-th index position.

    i

    the row index

    j

    the column index

    Definition Classes
    MatrixRMatrir
  29. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  30. def clean(thres: Rational, relative: Boolean = true): MatrixR

    Clean values in matrix at or below the threshold by setting them to zero.

    Clean values in matrix at or below the threshold by setting them to zero. Iterative algorithms give approximate values and if very close to zero, may throw off other calculations, e.g., in computing eigenvectors.

    thres

    the cutoff threshold (a small value as a rational number)

    relative

    whether to use relative or absolute cutoff

    Definition Classes
    MatrixRMatrir
  31. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  32. def col(col: Int, from: Int = 0): VectorR

    Get column 'col' from the matrix, returning it as a vector.

    Get column 'col' from the matrix, returning it as a vector.

    col

    the column to extract from the matrix

    from

    the position to start extracting from

    Definition Classes
    MatrixRMatrir
  33. val d1: Int

    the first/row dimension

  34. val d2: Int

    the second/column dimension

  35. def det: Rational

    Compute the determinant of this matrix.

    Compute the determinant of this matrix. The value of the determinant indicates, among other things, whether there is a unique solution to a system of linear equations (a nonzero determinant).

    Definition Classes
    MatrixRMatrir
  36. def diag(p: Int, q: Int): MatrixR

    Form a matrix [Ip, this, Iq] where Ir is a r by r identity matrix, by positioning the three matrices Ip, this and Iq along the diagonal.

    Form a matrix [Ip, this, Iq] where Ir is a r by r identity matrix, by positioning the three matrices Ip, this and Iq along the diagonal.

    p

    the size of identity matrix Ip

    q

    the size of identity matrix Iq

    Definition Classes
    MatrixRMatrir
  37. def diag(b: MatrixR): MatrixR

    Combine this matrix with matrix b, placing them along the diagonal and filling in the bottom left and top right regions with zeros; [this, b].

    Combine this matrix with matrix b, placing them along the diagonal and filling in the bottom left and top right regions with zeros; [this, b].

    b

    the matrix to combine with this matrix

  38. lazy val dim1: Int

    Dimension 1

    Dimension 1

    Definition Classes
    MatrixRMatrir
  39. lazy val dim2: Int

    Dimension 2

    Dimension 2

    Definition Classes
    MatrixRMatrir
  40. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  41. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any
  42. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  43. def flaw(method: String, message: String): Unit

    Show the flaw by printing the error message.

    Show the flaw by printing the error message.

    method

    the method where the error occurred

    message

    the error message

    Definition Classes
    Error
  44. def foreach[U](f: (Array[Rational]) ⇒ U): Unit

    Iterate over the matrix row by row.

    Iterate over the matrix row by row.

    f

    the function to apply

    Definition Classes
    Matrir
  45. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any
  46. def getDiag(k: Int = 0): VectorR

    Get the kth diagonal of this matrix.

    Get the kth diagonal of this matrix. Assumes dim2 >= dim1.

    k

    how far above the main diagonal, e.g., (-1, 0, 1) for (sub, main, super)

    Definition Classes
    MatrixRMatrir
  47. def hashCode(): Int

    Definition Classes
    AnyRef → Any
  48. def inverse: MatrixR

    Invert this matrix (requires a squareMatrix) and use partial pivoting.

    Invert this matrix (requires a squareMatrix) and use partial pivoting.

    Definition Classes
    MatrixRMatrir
  49. def inverse_ip: MatrixR

    Invert in-place this matrix (requires a squareMatrix) and uses partial pivoting.

    Invert in-place this matrix (requires a squareMatrix) and uses partial pivoting.

    Definition Classes
    MatrixRMatrir
  50. def inverse_npp: MatrixR

    Invert this matrix (requires a squareMatrix) and does not use partial pivoting.

  51. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  52. def isNonnegative: Boolean

    Check whether this matrix is nonnegative (has no negative elements).

    Check whether this matrix is nonnegative (has no negative elements).

    Definition Classes
    MatrixRMatrir
  53. def isRectangular: Boolean

    Check whether this matrix is rectangular (all rows have the same number of columns).

    Check whether this matrix is rectangular (all rows have the same number of columns).

    Definition Classes
    MatrixRMatrir
  54. def isSquare: Boolean

    Check whether this matrix is square (same row and column dimensions).

    Check whether this matrix is square (same row and column dimensions).

    Definition Classes
    Matrir
  55. def isSymmetric: Boolean

    Check whether this matrix is symmetric.

    Check whether this matrix is symmetric.

    Definition Classes
    Matrir
  56. def leDimensions(b: Matrir): Boolean

    Check whether this matrix dimensions are less than or equal to (le) those of the other Matrix.

    Check whether this matrix dimensions are less than or equal to (le) those of the other Matrix.

    b

    the other matrix

    Definition Classes
    Matrir
  57. def lud: (MatrixR, MatrixR)

    Decompose this matrix into the product of lower and upper triangular matrices (l, u) using the LU Decomposition algorithm.

    Decompose this matrix into the product of lower and upper triangular matrices (l, u) using the LU Decomposition algorithm. This version uses partial pivoting.

    Definition Classes
    MatrixRMatrir
  58. def lud_ip: (MatrixR, MatrixR)

    Decompose in-place this matrix into the product of lower and upper triangular matrices (l, u) using the LU Decomposition algorithm.

    Decompose in-place this matrix into the product of lower and upper triangular matrices (l, u) using the LU Decomposition algorithm. This version uses partial pivoting.

    Definition Classes
    MatrixRMatrir
  59. def lud_npp: (MatrixR, MatrixR)

    Decompose this matrix into the product of upper and lower triangular matrices (l, u) using the LU Decomposition algorithm.

    Decompose this matrix into the product of upper and lower triangular matrices (l, u) using the LU Decomposition algorithm. This version uses no partial pivoting.

  60. def mag: Rational

    Find the magnitude of this matrix, the element value farthest from zero.

    Find the magnitude of this matrix, the element value farthest from zero.

    Definition Classes
    Matrir
  61. def max(e: Int = dim1): Rational

    Find the maximum element in this matrix.

    Find the maximum element in this matrix.

    e

    the ending row index (exclusive) for the search

    Definition Classes
    MatrixRMatrir
  62. def min(e: Int = dim1): Rational

    Find the minimum element in this matrix.

    Find the minimum element in this matrix.

    e

    the ending row index (exclusive) for the search

    Definition Classes
    MatrixRMatrir
  63. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  64. def norm1: Rational

    Compute the 1-norm of this matrix, i.

    Compute the 1-norm of this matrix, i.e., the maximum 1-norm of the column vectors. This is useful for comparing matrices (a - b).norm1

    Definition Classes
    MatrixRMatrir
  65. final def notify(): Unit

    Definition Classes
    AnyRef
  66. final def notifyAll(): Unit

    Definition Classes
    AnyRef
  67. def nullspace: VectorR

    Compute the (right) nullspace of this m by n matrix (requires n = m + 1) by performing Gauss-Jordan reduction and extracting the negation of the last column augmented by 1.

    Compute the (right) nullspace of this m by n matrix (requires n = m + 1) by performing Gauss-Jordan reduction and extracting the negation of the last column augmented by 1. The nullspace of matrix a is "this vector v times any scalar s", i.e., a*(v*s) = 0. The left nullspace of matrix a is the same as the right nullspace of a.t (a transpose).

    Definition Classes
    MatrixRMatrir
  68. def nullspace_ip: VectorR

    Compute the (right) nullspace in-place of this m by n matrix (requires n = m + 1) by performing Gauss-Jordan reduction and extracting the negation of the last column augmented by 1.

    Compute the (right) nullspace in-place of this m by n matrix (requires n = m + 1) by performing Gauss-Jordan reduction and extracting the negation of the last column augmented by 1. The nullspace of matrix a is "this vector v times any scalar s", i.e., a*(v*s) = 0. The left nullspace of matrix a is the same as the right nullspace of a.t (a transpose).

    Definition Classes
    MatrixRMatrir
  69. def oneIf(cond: Boolean): Int

    Return 1 if the condition is true else 0

    Return 1 if the condition is true else 0

    cond

    the condition to evaluate

    Definition Classes
    Matrir
  70. val range1: Range

    Range for the storage array on dimension 1 (rows)

    Range for the storage array on dimension 1 (rows)

    Attributes
    protected
    Definition Classes
    Matrir
  71. val range2: Range

    Range for the storage array on dimension 2 (columns)

    Range for the storage array on dimension 2 (columns)

    Attributes
    protected
    Definition Classes
    Matrir
  72. def rank: Int

    Determine the rank of this m by n matrix by taking the upper triangular matrix from the LU Decomposition and counting the number of non-zero diagonal elements.

    Determine the rank of this m by n matrix by taking the upper triangular matrix from the LU Decomposition and counting the number of non-zero diagonal elements.

    Definition Classes
    Matrir
  73. def reduce: MatrixR

    Use Gauss-Jordan reduction on this matrix to make the left part embed an identity matrix.

    Use Gauss-Jordan reduction on this matrix to make the left part embed an identity matrix. A constraint on this m by n matrix is that n >= m.

    Definition Classes
    MatrixRMatrir
  74. def reduce_ip: Unit

    Use Gauss-Jordan reduction in-place on this matrix to make the left part embed an identity matrix.

    Use Gauss-Jordan reduction in-place on this matrix to make the left part embed an identity matrix. A constraint on this m by n matrix is that n >= m.

    Definition Classes
    MatrixRMatrir
  75. def row(r: Int, from: Int = 0): VectorR

    Get row 'r' from the matrix, returning it as a vector.

    Get row 'r' from the matrix, returning it as a vector.

    r

    the row to extract from the matrix

    from

    the position to start extracting from

  76. def sameCrossDimensions(b: Matrir): Boolean

    Check whether this matrix and the other matrix have the same cross dimensions.

    Check whether this matrix and the other matrix have the same cross dimensions.

    b

    the other matrix

    Definition Classes
    Matrir
  77. def sameDimensions(b: Matrir): Boolean

    Check whether this matrix and the other Matrix have the same dimensions.

    Check whether this matrix and the other Matrix have the same dimensions.

    b

    the other matrix

    Definition Classes
    Matrir
  78. def selectCols(colIndex: Array[Int]): MatrixR

    Select columns from this matrix according to the given index/basis.

    Select columns from this matrix according to the given index/basis. Ex: Can be used to divide a matrix into a basis and a non-basis.

    colIndex

    the column index positions (e.g., (0, 2, 5))

    Definition Classes
    MatrixRMatrir
  79. def selectRows(rowIndex: Array[Int]): MatrixR

    Select rows from this matrix according to the given index/basis.

    Select rows from this matrix according to the given index/basis.

    rowIndex

    the row index positions (e.g., (0, 2, 5))

    Definition Classes
    MatrixRMatrir
  80. def set(i: Int, u: VectorR, j: Int = 0): Unit

    Set this matrix's ith row starting at column j to the vector u.

    Set this matrix's ith row starting at column j to the vector u.

    i

    the row index

    u

    the vector value to assign

    j

    the starting column index

    Definition Classes
    MatrixRMatrir
  81. def set(u: Array[Array[Rational]]): Unit

    Set all the values in this matrix as copies of the values in 2D array u.

    Set all the values in this matrix as copies of the values in 2D array u.

    u

    the 2D array of values to assign

    Definition Classes
    MatrixRMatrir
  82. def set(x: Rational): Unit

    Set all the elements in this matrix to the scalar x.

    Set all the elements in this matrix to the scalar x.

    x

    the scalar value to assign

    Definition Classes
    MatrixRMatrir
  83. def set(x: Double): Unit

    Set all the elements in this matrix to the scalar x.

    Set all the elements in this matrix to the scalar x.

    x

    the scalar value to assign

    Definition Classes
    Matrir
  84. def setCol(col: Int, u: VectorR): Unit

    Set column 'col' of the matrix to a vector.

    Set column 'col' of the matrix to a vector.

    col

    the column to set

    u

    the vector to assign to the column

    Definition Classes
    MatrixRMatrir
  85. def setDiag(x: Rational): Unit

    Set the main diagonal of this matrix to the scalar x.

    Set the main diagonal of this matrix to the scalar x. Assumes dim2 >= dim1.

    x

    the scalar to set the diagonal to

    Definition Classes
    MatrixRMatrir
  86. def setDiag(u: VectorR, k: Int = 0): Unit

    Set the kth diagonal of this matrix to the vector u.

    Set the kth diagonal of this matrix to the vector u. Assumes dim2 >= dim1.

    u

    the vector to set the diagonal to

    k

    how far above the main diagonal, e.g., (-1, 0, 1) for (sub, main, super)

    Definition Classes
    MatrixRMatrir
  87. def setLower(x: Rational): Unit

    Set all the lower triangular elements in this matrix to the scalar x.

    Set all the lower triangular elements in this matrix to the scalar x.

    x

    the scalar value to assign

    Definition Classes
    Matrir
  88. def slice(r_from: Int, r_end: Int, c_from: Int, c_end: Int): MatrixR

    Slice this matrix row-wise r_from to r_end and column-wise c_from to c_end.

    Slice this matrix row-wise r_from to r_end and column-wise c_from to c_end.

    r_from

    the start of the row slice

    r_end

    the end of the row slice

    c_from

    the start of the column slice

    c_end

    the end of the column slice

    Definition Classes
    MatrixRMatrir
  89. def slice(from: Int, end: Int): MatrixR

    Slice this matrix row-wise from to end.

    Slice this matrix row-wise from to end.

    from

    the start row of the slice (inclusive)

    end

    the end row of the slice (exclusive)

    Definition Classes
    MatrixRMatrir
  90. def sliceExclude(row: Int, col: Int): MatrixR

    Slice this matrix excluding the given row and column.

    Slice this matrix excluding the given row and column.

    row

    the row to exclude

    col

    the column to exclude

    Definition Classes
    MatrixRMatrir
  91. def solve(b: VectorR): VectorR

    Solve for x in the equation a*x = b where a is this matrix (see lud above).

    Solve for x in the equation a*x = b where a is this matrix (see lud above).

    b

    the constant vector.

    Definition Classes
    MatrixRMatrir
  92. def solve(lu: (Matrir, Matrir), b: VectorR): VectorR

    Solve for x in the equation l*u*x = b (see lud above).

    Solve for x in the equation l*u*x = b (see lud above).

    lu

    the lower and upper triangular matrices

    b

    the constant vector

    Definition Classes
    MatrixRMatrir
  93. def solve(l: Matrir, u: Matrir, b: VectorR): VectorR

    Solve for x in the equation l*u*x = b (see lud above).

    Solve for x in the equation l*u*x = b (see lud above).

    l

    the lower triangular matrix

    u

    the upper triangular matrix

    b

    the constant vector

    Definition Classes
    MatrixRMatrir
  94. def sum: Rational

    Compute the sum of this matrix, i.

    Compute the sum of this matrix, i.e., the sum of its elements.

    Definition Classes
    MatrixRMatrir
  95. def sumAbs: Rational

    Compute the abs sum of this matrix, i.

    Compute the abs sum of this matrix, i.e., the sum of the absolute value of its elements. This is useful for comparing matrices (a - b).sumAbs

    Definition Classes
    MatrixRMatrir
  96. def sumLower: Rational

    Compute the sum of the lower triangular region of this matrix.

    Compute the sum of the lower triangular region of this matrix.

    Definition Classes
    MatrixRMatrir
  97. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  98. def t: MatrixR

    Transpose this matrix (rows => columns).

    Transpose this matrix (rows => columns).

    Definition Classes
    MatrixRMatrir
  99. def toString(): String

    Convert this matrix to a string.

    Convert this matrix to a string.

    Definition Classes
    MatrixR → AnyRef → Any
  100. def trace: Rational

    Compute the trace of this matrix, i.

    Compute the trace of this matrix, i.e., the sum of the elements on the main diagonal. Should also equal the sum of the eigenvalues.

    Definition Classes
    MatrixRMatrir
    See also

    Eigen.scala

  101. def update(i: Int, jr: Range, u: VectorR): Unit

    Set a slice this matrix row-wise at index i and column-wise on range jr.

    Set a slice this matrix row-wise at index i and column-wise on range jr. Ex: a(2, 3..5) = u

    i

    the row index

    jr

    the column range

    u

    the vector to assign

    Definition Classes
    MatrixRMatrir
  102. def update(ir: Range, j: Int, u: VectorR): Unit

    Set a slice this matrix row-wise on range ir and column-wise at index j.

    Set a slice this matrix row-wise on range ir and column-wise at index j. Ex: a(2..4, 3) = u

    ir

    the row range

    j

    the column index

    u

    the vector to assign

    Definition Classes
    MatrixRMatrir
  103. def update(ir: Range, jr: Range, b: MatrixR): Unit

    Set a slice this matrix row-wise on range ir and column-wise on range jr.

    Set a slice this matrix row-wise on range ir and column-wise on range jr. Ex: a(2..4, 3..5) = b

    ir

    the row range

    jr

    the column range

    b

    the matrix to assign

  104. def update(i: Int, u: VectorR): Unit

    Set this matrix's row at the i-th index position to the vector u.

    Set this matrix's row at the i-th index position to the vector u.

    i

    the row index

    u

    the vector value to assign

    Definition Classes
    MatrixRMatrir
  105. def update(i: Int, j: Int, x: Rational): Unit

    Set this matrix's element at the i,j-th index position to the scalar x.

    Set this matrix's element at the i,j-th index position to the scalar x.

    i

    the row index

    j

    the column index

    x

    the scalar value to assign

    Definition Classes
    MatrixRMatrir
  106. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  107. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  108. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  109. def ~^(p: Int): MatrixR

    Raise this matrix to the pth power (for some integer p >= 2).

    Raise this matrix to the pth power (for some integer p >= 2). Caveat: should be replace by a divide and conquer algorithm.

    p

    the power to raise this matrix to

    Definition Classes
    MatrixRMatrir

Inherited from Serializable

Inherited from Serializable

Inherited from Matrir

Inherited from Error

Inherited from AnyRef

Inherited from Any

Ungrouped