final def !=(arg0: Any): Boolean

Definition Classes: AnyRef → Any

final def ##(): Int

Definition Classes: AnyRef → Any

def *(b: MatriC): MatriC

Multiply 'this' matrix by matrix 'b'.

b: the matrix to multiply by (requires 'sameCrossDimensions')

Definition Classes: RleMatrixC → MatriC

def *(x: Complex): RleMatrixC

Multiply 'this' matrix by scalar 'x'.

x: the scalar to multiply by

Definition Classes: RleMatrixC → MatriC

def *(u: VectoC): VectoC

Multiply 'this' matrix by (column) vector 'u'

u: the vector to multiply by

Definition Classes: RleMatrixC → MatriC

def **(u: VectoC): MatriC

Multiply 'this' matrix by vector 'u' to produce another matrix 'a_ij * u_j'.

Multiply 'this' matrix by vector 'u' to produce another matrix 'a_ij * u_j'. E.g., multiply a matrix by a diagonal matrix represented as a vector.

u: the vector to multiply by

Definition Classes: RleMatrixC → MatriC

def **(b: MatriC): MatriC

Multiply 'this' matrix by matrix 'b' elementwise (Hadamard product).

b: the matrix to multiply by

Definition Classes: MatriC
See also: en.wikipedia.org/wiki/Hadamard_product_(matrices) FIX - remove ??? and implement in all implementing classes

def **:(u: VectoC): MatriC

Multiply vector 'u' by 'this' matrix to produce another matrix 'u_i * a_ij'.

Multiply vector 'u' by 'this' matrix to produce another matrix 'u_i * a_ij'. E.g., multiply a diagonal matrix represented as a vector by a matrix. This operator is right associative.

u: the vector to multiply by

Definition Classes: RleMatrixC → MatriC

def **=(u: VectoC): MatriC

Multiply in-place 'this' matrix by vector 'u' to produce another matrix 'a_ij * u_j'.

u: the vector to multiply by

Definition Classes: RleMatrixC → MatriC

def *:(u: VectoC): VectoC

Multiply (row) vector 'u' by 'this' matrix.

Multiply (row) vector 'u' by 'this' matrix. Note '*:' is right associative. vector = vector *: matrix

u: the vector to multiply by

Definition Classes: MatriC

def *=(b: MatriC): MatriC

Multiply in-place 'this' matrix by matrix 'b'

b: the matrix to multiply by (requires square and 'sameCrossDimensions')

Definition Classes: RleMatrixC → MatriC

def *=(x: Complex): RleMatrixC

Multiply in-place 'this' matrix by matrix 'x'

x: the matrix to multiply by

Definition Classes: RleMatrixC → MatriC

def +(u: VectoC): MatriC

Add 'this' matrix and vector 'u'.

u: the matrix to add (requires leDimensions)

Definition Classes: RleMatrixC → MatriC

def +(x: Complex): RleMatrixC

Add 'this' matrix and scalar 'x'.

x: the scalar to add

Definition Classes: RleMatrixC → MatriC

def +(b: MatriC): RleMatrixC

Add 'this' matrix and matrix 'b'.

b: the matrix to add (requires leDimensions)

Definition Classes: RleMatrixC → MatriC

def ++(b: MatriC): RleMatrixC

Concatenate (row-wise) 'this' matrix and matrix 'b'.

Concatenate (row-wise) 'this' matrix and matrix 'b'. FIX

b: the matrix to be concatenated as the new last rows in new matrix

Definition Classes: RleMatrixC → MatriC

def ++^(b: MatriC): RleMatrixC

Concatenate (column-wise) 'this' matrix and matrix 'b'.

b: the matrix to be concatenated as the new last columns in new matrix

Definition Classes: RleMatrixC → MatriC

def +:(u: VectoC): RleMatrixC

Concatenate (row) vector 'u' and 'this' matrix, i.e., prepend 'u' to 'this'.

u: the vector to be prepended as the new first row in new matrix

Definition Classes: RleMatrixC → MatriC

def +=(b: MatriC): MatriC

Add in-place 'this' matrix and matrix 'b'.

b: the matrix to add (requires 'leDimensions')

Definition Classes: RleMatrixC → MatriC

def +=(u: VectoC): MatriC

Add in-place 'this' matrix and vector 'u'.

u: the vector to add

Definition Classes: RleMatrixC → MatriC

def +=(x: Complex): MatriC

Add in-place 'this' matrix and scalar 'x'.

x: the scalar to add

Definition Classes: RleMatrixC → MatriC

def +^:(u: VectoC): RleMatrixC

Concatenate (column) vector 'u' and 'this' matrix, i.e., prepend 'u' to 'this'.

u: the vector to be prepended as the new first column in new matrix

Definition Classes: RleMatrixC → MatriC

def -(b: MatriC): MatriC

From 'this' matrix subtract matrix 'b'.

b: the matrix to subtract

Definition Classes: RleMatrixC → MatriC

def -(u: VectoC): RleMatrixC

From 'this' matrix subtract vector 'u'.

u: the vector to subtract

Definition Classes: RleMatrixC → MatriC

def -(x: Complex): MatriC

From 'this' matrix subtract scalar 'x'.

x: the scalar to subtract

Definition Classes: RleMatrixC → MatriC

def -=(b: MatriC): MatriC

From 'this' matrix subtract in-place matrix 'b'.

b: the matrix to subtract (requires 'leDimensions')

Definition Classes: RleMatrixC → MatriC

def -=(u: VectoC): MatriC

From 'this' matrix subtract in-place vector 'u'.

u: the vector to subtract

Definition Classes: RleMatrixC → MatriC

def -=(x: Complex): MatriC

From 'this' matrix subtract in-place scalar 'x'.

x: the scalar to subtract

Definition Classes: RleMatrixC → MatriC

def /(x: Complex): MatriC

Divide 'this' matrix by scalar 'x'.

x: the scalar to divide by

Definition Classes: RleMatrixC → MatriC

def /=(x: Complex): MatriC

Divide in-place 'this' matrix by scalar 'x'.

x: the scalar to divide by

Definition Classes: RleMatrixC → MatriC

def :+(u: VectoC): RleMatrixC

Concatenate 'this' matrix and (row) vector 'u', i.e., append 'u' to 'this'.

u: the vector to be appended as the new last row in new matrix

Definition Classes: RleMatrixC → MatriC

def :^+(u: VectoC): RleMatrixC

Concatenate 'this' matrix and (column) vector 'u', i.e., append 'u' to 'this'.

u: the vector to be appended as the new last column in new matrix

Definition Classes: RleMatrixC → MatriC

final def ==(arg0: Any): Boolean

Definition Classes: AnyRef → Any

def apply(): Array[RleVectorC]

Get the underlying 1D array for 'this' matrix.

def apply(ir: Range, jr: Range): MatriC

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: RleMatrixC → MatriC

def apply(i: Int): RleVectorC

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

i: the row index

Definition Classes: RleMatrixC → MatriC

def apply(i: Int, j: Int): Complex

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

i: the row index
j: the column index

Definition Classes: RleMatrixC → MatriC

def apply(iv: VectoI): MatriC

Get the rows indicated by the index vector 'iv' FIX - implement in all implementing classes

iv: the vector of row indices

Definition Classes: MatriC

def apply(i: Int, jr: Range): VectoC

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: MatriC

def apply(ir: Range, j: Int): VectoC

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: MatriC

final def asInstanceOf[T0]: T0

Definition Classes: Any

def bsolve(y: VectoC): RleVectorC

Solve for 'x' using back substitution in the equation 'u*x = y' where 'this' matrix ('u') is upper triangular (see 'lud_npp' above).

y: the constant vector

Definition Classes: RleMatrixC → MatriC

def clean(thres: Double = TOL, relative: Boolean = true): MatriC

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

Clean values in 'this' matrix at or below the threshold 'thres' 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)
relative: whether to use relative or absolute cutoff

Definition Classes: RleMatrixC → MatriC

def clone(): AnyRef

Attributes: protected[java.lang]
Definition Classes: AnyRef
Annotations: @native() @throws( ... )

def col(col: Int, from: Int = 0): VectorC

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: RleMatrixC → MatriC

def col(col: Int): RleVectorC

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

col: the column to extract from the matrix

def copy(): RleMatrixC

Create an exact copy of 'this' m-by-n matrix.

Definition Classes: RleMatrixC → MatriC

def csize: VectorI

Get size of each column of 'this' RleMatrix

val d1: Int

val d2: Int

val deferred: Boolean

def det: Complex

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: RleMatrixC → MatriC

def diag(b: MatriC): RleMatrixC

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

Definition Classes: RleMatrixC → MatriC

def diag(p: Int, q: Int = 0): MatriC

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. Fill the rest of matrix with zeros.

p: the size of identity matrix Ip
q: the size of identity matrix Iq

Definition Classes: RleMatrixC → MatriC

lazy val dim1: Int

Dimension 1

Definition Classes: RleMatrixC → MatriC

lazy val dim2: Int

Dimension 2

Definition Classes: RleMatrixC → MatriC

def dot(b: RleMatrixC): RleVectorC

Compute the dot product of 'this' matrix and matrix 'b'.

Compute the dot product of 'this' matrix and matrix 'b'. Results in a Vector.

b: the matrix to multiply by (requires same first dimensions)

def dot(b: MatriC): RleVectorC

Compute the dot product of 'this' matrix and matrix 'b'.

Compute the dot product of 'this' matrix and matrix 'b'. Results in a Vector.

b: the matrix to multiply by (requires same first dimensions)

Definition Classes: RleMatrixC → MatriC

def dot(b: VectoC): VectoC

Compute the dot product of 'this' matrix and vector 'b', by first transposing 'this' matrix and then multiplying by 'b' (i.e., 'a dot u = a.t * b').

b: the vector to multiply by (requires same first dimensions)

Definition Classes: RleMatrixC → MatriC

final def eq(arg0: AnyRef): Boolean

Definition Classes: AnyRef

def equals(b: Any): Boolean

Override equals to determine whether 'this' vector equals vector 'b'.

b: the vector to compare with this

Definition Classes: RleMatrixC → AnyRef → Any

val fString: String

Format string used for printing vector values (change using 'setFormat')

Attributes: protected
Definition Classes: MatriC

def finalize(): Unit

Attributes: protected[java.lang]
Definition Classes: AnyRef
Annotations: @throws( classOf[java.lang.Throwable] )

final def flaw(method: String, message: String): Unit

Show the flaw by printing the error message.

method: the method where the error occurred
message: the error message

Definition Classes: Error

def foreach[U](f: (Array[Complex]) ⇒ U): Unit

Iterate over 'this' matrix row by row applying method 'f'.

f: the function to apply

Definition Classes: MatriC

final def getClass(): Class[_]

Definition Classes: AnyRef → Any
Annotations: @native()

def getDiag(k: Int = 0): RleVectorC

Get the 'k'th diagonal of 'this' matrix.

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

Definition Classes: RleMatrixC → MatriC

def hashCode(): Int

Must also override hashCode for 'this' vector to be compatible with equals.

Definition Classes: RleMatrixC → AnyRef → Any

def inverse: MatriC

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

Definition Classes: RleMatrixC → MatriC

def inverse_ip(): MatriC

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

Invert in-place 'this' matrix (requires a square matrix) and uses partial pivoting. Note: this method turns the original matrix into the identity matrix. The inverse is returned and is captured by assignment.

Definition Classes: RleMatrixC → MatriC

def isBidiagonal: Boolean

Check whether 'this' matrix is bidiagonal (has non-zero elements only in main diagonal and super-diagonal).

Check whether 'this' matrix is bidiagonal (has non-zero elements only in main diagonal and super-diagonal). The method may be overriding for efficiency.

Definition Classes: MatriC

final def isInstanceOf[T0]: Boolean

Definition Classes: Any

def isNonnegative: Boolean

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

Definition Classes: MatriC

def isRectangular: Boolean

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

Definition Classes: RleMatrixC → MatriC

def isSquare: Boolean

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

Definition Classes: MatriC

def isSymmetric: Boolean

Check whether 'this' matrix is symmetric.

Definition Classes: MatriC

def isTridiagonal: Boolean

Check whether 'this' matrix is bidiagonal (has non-zero elements only in main diagonal and super-diagonal).

Check whether 'this' matrix is bidiagonal (has non-zero elements only in main diagonal and super-diagonal). The method may be overriding for efficiency.

Definition Classes: MatriC

def leDimensions(b: MatriC): Boolean

Check whether 'this' matrix dimensions are less than or equal to 'le' those of the other matrix 'b'.

b: the other matrix

Definition Classes: MatriC

def lowerT: RleMatrixC

Return the lower triangular of 'this' matrix (rest are zero).

Definition Classes: RleMatrixC → MatriC

def lud_ip(): (RleMatrixC, RleMatrixC)

Factor in-place 'this' matrix into the product of lower and upper triangular matrices '(l, u)' using an 'LU' Factorization algorithm.

Factor in-place 'this' matrix into the product of lower and upper triangular matrices '(l, u)' using an 'LU' Factorization algorithm. FIX - check for 0 pivots (divide by zero).

Definition Classes: RleMatrixC → MatriC

def lud_npp: (RleMatrixC, RleMatrixC)

Factor 'this' matrix into the product of lower and upper triangular matrices '(l, u)' using an 'LU' Factorization algorithm.

Factor 'this' matrix into the product of lower and upper triangular matrices '(l, u)' using an 'LU' Factorization algorithm. FIX - check for 0 pivots (divide by zero).

Definition Classes: RleMatrixC → MatriC

def mag: Complex

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

Definition Classes: MatriC

def map(f: (VectoC) ⇒ VectoC): MatriC

Map the elements of 'this' matrix by applying the mapping function 'f'.

Map the elements of 'this' matrix by applying the mapping function 'f'. FIX - remove ??? and implement in all implementing classes

f: the function to apply

Definition Classes: MatriC

def max(e: Int = dim1): Complex

Find the maximum element in 'this' matrix.

e: the ending row index (exclusive) for the search

Definition Classes: RleMatrixC → MatriC

def mdot(b: RleMatrixC): RleMatrixC

Compute the matrix dot product of 'this' matrix and matrix 'b'.

b: the matrix to multiply by (requires same first dimensions)

def mdot(b: MatriC): RleMatrixC

Compute the matrix dot product of 'this' matrix and matrix 'b'.

b: the matrix to multiply by (requires same first dimensions)

Definition Classes: RleMatrixC → MatriC

def mean: VectoC

Compute the column means of 'this' matrix.

Definition Classes: MatriC

def meanNZ: VectoC

Compute the column means of 'this' matrix ignoring zero elements (e.g., a zero may indicate a missing value as in recommender systems).

Definition Classes: MatriC

def meanR: VectoC

Compute the row means of 'this' matrix.

Definition Classes: MatriC

def meanRNZ: VectoC

Compute the row means of 'this' matrix ignoring zero elements (e.g., a zero may indicate a missing value as in recommender systems).

Definition Classes: MatriC

def min(e: Int = dim1): Complex

Find the minimum element in 'this' matrix.

e: the ending row index (exclusive) for the search

Definition Classes: RleMatrixC → MatriC

def mul2(u: RleVectorC): RleVectorC

Multiply 'this' matrix by (column) vector 'u'

u: the vector to multiply by

final def ne(arg0: AnyRef): Boolean

Definition Classes: AnyRef

def norm1: Complex

Compute the 1-norm of 'this' matrix, i.e., the maximum 1-norm of the column vectors.

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: MatriC
See also: en.wikipedia.org/wiki/Matrix_norm

def normF: Complex

Compute the Frobenius-norm of 'this' matrix, i.e., the sum of the absolute values squared of all the elements.

Definition Classes: MatriC
See also: en.wikipedia.org/wiki/Matrix_norm#Frobenius_norm

def normINF: Complex

Compute the (infinity) INF-norm of 'this' matrix, i.e., the maximum 1-norm of the row vectors.

Definition Classes: MatriC
See also: en.wikipedia.org/wiki/Matrix_norm

final def notify(): Unit

Definition Classes: AnyRef
Annotations: @native()

final def notifyAll(): Unit

Definition Classes: AnyRef
Annotations: @native()

def nullspace: VectoC

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.

nullspace (a) = set of orthogonal vectors v s.t. a * v = 0

The left nullspace of matrix 'a' is the same as the right nullspace of 'a.t'. FIX: need a more robust algorithm for computing nullspace (@see Fac_QR.scala). FIX: remove the 'n = m+1' restriction.

Definition Classes: RleMatrixC → MatriC
See also: /solving-ax-0-pivot-variables-special-solutions/MIT18_06SCF11_Ses1.7sum.pdf
http://ocw.mit.edu/courses/mathematics/18-06sc-linear-algebra-fall-2011/ax-b-and-the-four-subspaces

def nullspace_ip(): VectoC

Compute in-place 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.

nullspace (a) = set of orthogonal vectors v s.t. a * v = 0

The left nullspace of matrix 'a' is the same as the right nullspace of 'a.t'. FIX: need a more robust algorithm for computing nullspace (@see Fac_QR.scala). FIX: remove the 'n = m+1' restriction.

Definition Classes: RleMatrixC → MatriC
See also: /solving-ax-0-pivot-variables-special-solutions/MIT18_06SCF11_Ses1.7sum.pdf
http://ocw.mit.edu/courses/mathematics/18-06sc-linear-algebra-fall-2011/ax-b-and-the-four-subspaces

val range1: Range

Range for the storage array on dimension 1 (rows)

Definition Classes: MatriC

val range2: Range

Range for the storage array on dimension 2 (columns)

Definition Classes: MatriC

def reduce: RleMatrixC

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'. It can be used to solve 'a * x = b': augment 'a' with 'b' and call reduce. Takes '[a | b]' to '[I | x]'.

Definition Classes: RleMatrixC → MatriC

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'. It can be used to solve 'a * x = b': augment 'a' with 'b' and call reduce. Takes '[a | b]' to '[I | x]'.

Definition Classes: RleMatrixC → MatriC

def sameCrossDimensions(b: MatriC): Boolean

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

b: the other matrix

Definition Classes: MatriC

def sameDimensions(b: MatriC): Boolean

Check whether 'this' matrix and the other matrix 'b' have the same dimensions.

b: the other matrix

Definition Classes: MatriC

def selectCols(colIndex: Array[Int]): RleMatrixC

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: RleMatrixC → MatriC

def selectRows(rowIndex: Array[Int]): RleMatrixC

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

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

Definition Classes: RleMatrixC → MatriC

def set(u: Array[Array[Complex]]): Unit

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: RleMatrixC → MatriC

def set(i: Int, u: VectoC, j: Int = 0): Unit

Set 'this' matrix's 'i'-th 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: RleMatrixC → MatriC

def set(x: Complex): Unit

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

x: the scalar value to assign

Definition Classes: RleMatrixC → MatriC

def setCol(col: Int, u: VectoC): Unit

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

col: the column to set
u: the vector to assign to the column

Definition Classes: RleMatrixC → MatriC

def setDiag(u: VectoC, k: Int = 0): Unit

Set the 'k'th diagonal of 'this' matrix to the vector 'u'.

Set the 'k'th 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: RleMatrixC → MatriC

def setDiag(x: Complex): Unit

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

x: the scalar to set the diagonal to

Definition Classes: RleMatrixC → MatriC

def setFormat(newFormat: String): Unit

Set the format to the 'newFormat'.

newFormat: the new format string

Definition Classes: MatriC

def slice(r_from: Int, r_end: Int, c_from: Int, c_end: Int): RleMatrixC

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: RleMatrixC → MatriC

def slice(from: Int, end: Int): RleMatrixC

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: RleMatrixC → MatriC

def slice(rg: Range): MatriC

Slice 'this' matrix row-wise over the given range 'rg'.

rg: the range specifying the slice

Definition Classes: MatriC

def sliceCol(from: Int, end: Int): RleMatrixC

Slice 'this' matrix column-wise 'from' to 'end'.

from: the start column of the slice (inclusive)
end: the end column of the slice (exclusive)

Definition Classes: RleMatrixC → MatriC

def sliceEx(row: Int, col: Int): RleMatrixC

Slice 'this' matrix excluding the given row and/or column.

row: the row to exclude
col: the column to exclude

Definition Classes: RleMatrixC → MatriC

def sliceEx(rg: Range): MatriC

Slice 'this' matrix row-wise excluding the given range 'rg'.

rg: the excluded range of the slice

Definition Classes: MatriC

def solve(b: VectoC): VectoC

Solve for 'x' in the equation 'a*x = b' where 'a' is 'this' matrix.

b: the constant vector.

Definition Classes: RleMatrixC → MatriC

def solve(l: MatriC, u: MatriC, b: VectoC): VectoC

Solve for 'x' in the equation 'l*u*x = b'

l: the lower triangular matrix
u: the upper triangular matrix
b: the constant vector

Definition Classes: RleMatrixC → MatriC

def solve(lu: (MatriC, MatriC), b: VectoC): VectoC

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: MatriC

def sum: Complex

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

Definition Classes: RleMatrixC → MatriC

def sumAbs: Complex

Compute the 'abs' sum of 'this' matrix, i.e., the sum of the absolute value of its elements.

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: RleMatrixC → MatriC

def sumLower: Complex

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

Definition Classes: RleMatrixC → MatriC

def swap(i: Int, k: Int, col: Int = 0): Unit

Swap the elements in rows 'i' and 'k' starting from column 'col'.

i: the first row in the swap
k: the second row in the swap
col: the starting column for the swap (default 0 => whole row)

Definition Classes: MatriC

def swapCol(j: Int, l: Int, row: Int = 0): Unit

Swap the elements in columns 'j' and 'l' starting from row 'row'.

j: the first column in the swap
l: the second column in the swap
row: the starting row for the swap (default 0 => whole column)

Definition Classes: MatriC

final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes: AnyRef

def t: RleMatrixC

Transpose 'this' matrix (columns => rows).

Definition Classes: RleMatrixC → MatriC

def toDense: MatrixC

Convert 'this' matrix to a dense matrix.

Definition Classes: RleMatrixC → MatriC

def toInt: MatrixI

Convert 'this' RleMatrixC into a MatrixI.

Definition Classes: RleMatrixC → MatriC

def toString(): String

Convert 'this' real (Complex precision) matrix to a string.

Definition Classes: RleMatrixC → AnyRef → Any

def trace: Complex

Compute the trace of 'this' matrix, i.e., the sum of the elements on the main diagonal.

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: RleMatrixC → MatriC
See also: Eigen.scala

def update(ir: Range, jr: Range, b: MatriC): 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

Definition Classes: RleMatrixC → MatriC

def update(i: Int, u: VectoC): Unit

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: RleMatrixC → MatriC

def update(i: Int, j: Int, x: Complex): Unit

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: RleMatrixC → MatriC

def update(i: Int, jr: Range, u: VectoC): Unit

Set a slice of 'this' matrix row-wise at index 'i' and column-wise on range 'jr' to vector 'u'.

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

i: the row index
jr: the column range
u: the vector to assign

Definition Classes: MatriC

def update(ir: Range, j: Int, u: VectoC): Unit

Set a slice of 'this' matrix row-wise on range 'ir' and column-wise at index 'j' to vector 'u'.

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

ir: the row range
j: the column index
u: the vector to assign

Definition Classes: MatriC

def upperT: RleMatrixC

Return the upper triangular of 'this' matrix (rest are zero).

Definition Classes: RleMatrixC → MatriC

final def wait(): Unit

Definition Classes: AnyRef
Annotations: @throws( ... )

final def wait(arg0: Long, arg1: Int): Unit

Definition Classes: AnyRef
Annotations: @throws( ... )

final def wait(arg0: Long): Unit

Definition Classes: AnyRef
Annotations: @native() @throws( ... )

def write(fileName: String): Unit

Write 'this' matrix to a CSV-formatted text file with name 'fileName'.

fileName: the name of file to hold the data

Definition Classes: RleMatrixC → MatriC

def zero(mm: Int, nn: Int): RleMatrixC

Create an m-by-n matrix with all elements intialized to zero.

Definition Classes: RleMatrixC → MatriC

def ~^(p: Int): RleMatrixC

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

Raise 'this' matrix to the 'p'th power (for some integer 'p' >= 2). FIX - make compatible with imple in BldMatrix

p: the power to raise 'this' matrix to

Definition Classes: RleMatrixC → MatriC

Packages

RleMatrixC

Companion object RleMatrixC

class RleMatrixC extends MatriC with Error with Serializable

Instance Constructors

Value Members

Inherited from Serializable

Inherited from Serializable

Inherited from MatriC

Inherited from Error

Inherited from AnyRef

Inherited from Any

Ungrouped

Packages

RleMatrixC 

Companion object RleMatrixC

class RleMatrixC extends MatriC with Error with Serializable

Instance Constructors

Value Members

Inherited from Serializable

Inherited from Serializable

Inherited from MatriC

Inherited from Error

Inherited from AnyRef

Inherited from Any

Ungrouped

RleMatrixC