c

org.gnarf.linear

ImmutableMat

abstract class ImmutableMat[T] extends Mat[T]

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Inherited
  1. ImmutableMat
  2. Mat
  3. Traversable
  4. GenTraversable
  5. GenericTraversableTemplate
  6. TraversableLike
  7. GenTraversableLike
  8. Parallelizable
  9. TraversableOnce
  10. GenTraversableOnce
  11. FilterMonadic
  12. HasNewBuilder
  13. AnyRef
  14. Any
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Visibility
  1. Public
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Instance Constructors

  1. new ImmutableMat()(implicit arg0: LinField[T], arg1: ClassTag[T])

Type Members

  1. type Self = Traversable[T]
    Attributes
    protected[this]
    Definition Classes
    TraversableLike
  2. class WithFilter extends FilterMonadic[A, Repr]
    Definition Classes
    TraversableLike
  3. class ColVec extends ImmutableVec[T]
    Definition Classes
    Mat
  4. class RowVec extends ImmutableVec[T]
    Definition Classes
    Mat

Abstract Value Members

  1. abstract def apply(row: Int, col: Int): T
    Definition Classes
    Mat
  2. abstract val numColumns: Int
    Definition Classes
    Mat
  3. abstract val numRows: Int
    Definition Classes
    Mat

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. def *(that: Mat[T]): Mat[T]
    Definition Classes
    Mat
  4. def *(that: Vec[T]): Vec[T]
    Definition Classes
    Mat
  5. def *(that: T): Mat[T]
    Definition Classes
    Mat
  6. def +(that: T): Mat[T]
    Definition Classes
    Mat
  7. def +(that: Mat[T]): Mat[T]
    Definition Classes
    Mat
  8. def ++[B >: T, That](that: GenTraversableOnce[B])(implicit bf: CanBuildFrom[Traversable[T], B, That]): That
    Definition Classes
    TraversableLike → GenTraversableLike
  9. def ++:[B >: T, That](that: Traversable[B])(implicit bf: CanBuildFrom[Traversable[T], B, That]): That
    Definition Classes
    TraversableLike
  10. def ++:[B >: T, That](that: TraversableOnce[B])(implicit bf: CanBuildFrom[Traversable[T], B, That]): That
    Definition Classes
    TraversableLike
  11. def -(that: T): Mat[T]
    Definition Classes
    Mat
  12. def -(that: Mat[T]): Mat[T]
    Definition Classes
    Mat
  13. def /:[B](z: B)(op: (B, T) ⇒ B): B
    Definition Classes
    TraversableOnce → GenTraversableOnce
  14. def :\[B](z: B)(op: (T, B) ⇒ B): B
    Definition Classes
    TraversableOnce → GenTraversableOnce
  15. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  16. def addString(b: StringBuilder): StringBuilder
    Definition Classes
    TraversableOnce
  17. def addString(b: StringBuilder, sep: String): StringBuilder
    Definition Classes
    TraversableOnce
  18. def addString(b: StringBuilder, start: String, sep: String, end: String): StringBuilder
    Definition Classes
    TraversableOnce
  19. def aggregate[B](z: ⇒ B)(seqop: (B, T) ⇒ B, combop: (B, B) ⇒ B): B
    Definition Classes
    TraversableOnce → GenTraversableOnce
  20. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  21. def ataLeastSquaresSolveFor(y: Vec[T]): LinearSystemSolution[T]

    Solve using AtAx = Aty method.

    Solve using AtAx = Aty method.

    Use leastSquaresSolveFor() instead unless you really must have this version.

    Definition Classes
    Mat
  22. val classTag: ClassTag[T]
    Definition Classes
    Mat
  23. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  24. def collect[B, That](pf: PartialFunction[T, B])(implicit bf: CanBuildFrom[Traversable[T], B, That]): That
    Definition Classes
    TraversableLike → GenTraversableLike
  25. def collectFirst[B](pf: PartialFunction[T, B]): Option[B]
    Definition Classes
    TraversableOnce
  26. def column(index: Int): Vec[T]
    Definition Classes
    Mat
  27. lazy val columnSpace: Basis[T]

    Calculate A basis for the column space of this matrix.

    Calculate A basis for the column space of this matrix. Note that this is just one of the bases that span this space.

    Definition Classes
    ImmutableMat → Mat
  28. def columns: Seq[Vec[T]]
    Definition Classes
    Mat
  29. def companion: GenericCompanion[Traversable]
    Definition Classes
    Traversable → GenTraversable → GenericTraversableTemplate
  30. def copyToArray[B >: T](xs: Array[B], start: Int, len: Int): Unit
    Definition Classes
    TraversableLike → TraversableOnce → GenTraversableOnce
  31. def copyToArray[B >: T](xs: Array[B]): Unit
    Definition Classes
    TraversableOnce → GenTraversableOnce
  32. def copyToArray[B >: T](xs: Array[B], start: Int): Unit
    Definition Classes
    TraversableOnce → GenTraversableOnce
  33. def copyToBuffer[B >: T](dest: Buffer[B]): Unit
    Definition Classes
    TraversableOnce
  34. def count(p: (T) ⇒ Boolean): Int
    Definition Classes
    TraversableOnce → GenTraversableOnce
  35. def dataToString: String
    Definition Classes
    Mat
  36. def drop(n: Int): Traversable[T]
    Definition Classes
    TraversableLike → GenTraversableLike
  37. def dropWhile(p: (T) ⇒ Boolean): Traversable[T]
    Definition Classes
    TraversableLike → GenTraversableLike
  38. def echelonForm: (Mat[T], Mat[T])

    Returns U and M such that MA = U.

    Returns U and M such that MA = U.

    A is this matrix. U is a row echelon matrix. M is a matrix containing the transforms to get to U.

    returns

    (U,M)

    Definition Classes
    ImmutableMat → Mat
  39. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  40. def equals(that: Any): Boolean
    Definition Classes
    Mat → AnyRef → Any
  41. def exists(p: (T) ⇒ Boolean): Boolean
    Definition Classes
    TraversableLike → TraversableOnce → GenTraversableOnce
  42. def factory: MatFactory
    Definition Classes
    Mat
  43. def filter(p: (T) ⇒ Boolean): Traversable[T]
    Definition Classes
    TraversableLike → GenTraversableLike
  44. def filterNot(p: (T) ⇒ Boolean): Traversable[T]
    Definition Classes
    TraversableLike → GenTraversableLike
  45. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  46. def find(p: (T) ⇒ Boolean): Option[T]
    Definition Classes
    TraversableLike → TraversableOnce → GenTraversableOnce
  47. def flatMap[B, That](f: (T) ⇒ GenTraversableOnce[B])(implicit bf: CanBuildFrom[Traversable[T], B, That]): That
    Definition Classes
    TraversableLike → GenTraversableLike → FilterMonadic
  48. def flatten[B](implicit asTraversable: (T) ⇒ GenTraversableOnce[B]): Traversable[B]
    Definition Classes
    GenericTraversableTemplate
  49. def fold[A1 >: T](z: A1)(op: (A1, A1) ⇒ A1): A1
    Definition Classes
    TraversableOnce → GenTraversableOnce
  50. def foldLeft[B](z: B)(op: (B, T) ⇒ B): B
    Definition Classes
    TraversableOnce → GenTraversableOnce
  51. def foldRight[B](z: B)(op: (T, B) ⇒ B): B
    Definition Classes
    TraversableOnce → GenTraversableOnce
  52. def forall(p: (T) ⇒ Boolean): Boolean
    Definition Classes
    TraversableLike → TraversableOnce → GenTraversableOnce
  53. def foreach[U](f: (T) ⇒ U): Unit
    Definition Classes
    Mat → GenericTraversableTemplate → TraversableLike → GenTraversableLike → TraversableOnce → GenTraversableOnce → FilterMonadic
  54. def frobeniusNorm(implicit ips: InnerProductSpace[T]): T
    Definition Classes
    Mat
  55. def genericBuilder[B]: Builder[B, Traversable[B]]
    Definition Classes
    GenericTraversableTemplate
  56. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
  57. def groupBy[K](f: (T) ⇒ K): Map[K, Traversable[T]]
    Definition Classes
    TraversableLike → GenTraversableLike
  58. def hasDefiniteSize: Boolean
    Definition Classes
    TraversableLike → TraversableOnce → GenTraversableOnce
  59. def hashCode(): Int
    Definition Classes
    Mat → AnyRef → Any
  60. def head: T
    Definition Classes
    TraversableLike → GenTraversableLike
  61. def headOption: Option[T]
    Definition Classes
    TraversableLike → GenTraversableLike
  62. def init: Traversable[T]
    Definition Classes
    TraversableLike → GenTraversableLike
  63. def inits: Iterator[Traversable[T]]
    Definition Classes
    TraversableLike
  64. lazy val inverse: Mat[T]

    Invert this matrix if it is invertible.

    Invert this matrix if it is invertible.

    returns

    inverse of this matrix.

    Definition Classes
    ImmutableMat → Mat
  65. lazy val isColumnEchelon: Boolean
    Definition Classes
    ImmutableMat → Mat
  66. lazy val isDiagonal: Boolean
    Definition Classes
    ImmutableMat → Mat
  67. def isEmpty: Boolean
    Definition Classes
    TraversableLike → TraversableOnce → GenTraversableOnce
  68. def isIdentity: Boolean
    Definition Classes
    Mat
  69. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  70. def isInvertible: Boolean
    Definition Classes
    Mat
  71. lazy val isLowerTriangular: Boolean
    Definition Classes
    ImmutableMat → Mat
  72. lazy val isRowEchelon: Boolean
    Definition Classes
    ImmutableMat → Mat
  73. final def isTraversableAgain: Boolean
    Definition Classes
    TraversableLike → GenTraversableLike → GenTraversableOnce
  74. lazy val isUpperTriangular: Boolean
    Definition Classes
    ImmutableMat → Mat
  75. def isZero: Boolean
    Definition Classes
    Mat
  76. def last: T
    Definition Classes
    TraversableLike → GenTraversableLike
  77. def lastOption: Option[T]
    Definition Classes
    TraversableLike → GenTraversableLike
  78. def leastSquaresSolveFor(y: Vec[T]): Vec[T]

    Solve Ax = y by least squares method, giving an approximate x.

    Solve Ax = y by least squares method, giving an approximate x.

    A is this matrix which, y is provided vector. Returns approximate solution x.

    returns

    x

    Definition Classes
    Mat
  79. val linField: LinField[T]
    Definition Classes
    Mat
  80. def linearIndependentColumnSubset: IndexedSeq[Vec[T]]

    Returns a subset of the columns that are linearly independent

    Returns a subset of the columns that are linearly independent

    Definition Classes
    Mat
  81. def linearIndependentRowSubset: IndexedSeq[Vec[T]]

    Returns a subset of the rows that are linearly independent

    Returns a subset of the rows that are linearly independent

    Definition Classes
    Mat
  82. def map[U](f: (T) ⇒ U)(implicit arg0: LinField[U], arg1: ClassTag[U]): Mat[U]
    Definition Classes
    Mat
  83. def map[B, That](f: (T) ⇒ B)(implicit bf: CanBuildFrom[Traversable[T], B, That]): That
    Definition Classes
    TraversableLike → GenTraversableLike → FilterMonadic
  84. def mapWithIndexes[U](f: (Int, Int) ⇒ (T) ⇒ U)(implicit arg0: LinField[U], arg1: ClassTag[U]): Mat[U]
    Definition Classes
    Mat
  85. def max[B >: T](implicit cmp: Ordering[B]): T
    Definition Classes
    TraversableOnce → GenTraversableOnce
  86. def maxBy[B](f: (T) ⇒ B)(implicit cmp: Ordering[B]): T
    Definition Classes
    TraversableOnce → GenTraversableOnce
  87. def min[B >: T](implicit cmp: Ordering[B]): T
    Definition Classes
    TraversableOnce → GenTraversableOnce
  88. def minBy[B](f: (T) ⇒ B)(implicit cmp: Ordering[B]): T
    Definition Classes
    TraversableOnce → GenTraversableOnce
  89. def mkString: String
    Definition Classes
    TraversableOnce → GenTraversableOnce
  90. def mkString(sep: String): String
    Definition Classes
    TraversableOnce → GenTraversableOnce
  91. def mkString(start: String, sep: String, end: String): String
    Definition Classes
    TraversableOnce → GenTraversableOnce
  92. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  93. def newBuilder: Builder[T, Traversable[T]]
    Attributes
    protected[this]
    Definition Classes
    GenericTraversableTemplate → HasNewBuilder
  94. def nonEmpty: Boolean
    Definition Classes
    TraversableOnce → GenTraversableOnce
  95. final def notify(): Unit
    Definition Classes
    AnyRef
  96. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  97. lazy val nullSpace: Basis[T]

    Calculate the null space for this matrix

    Calculate the null space for this matrix

    Definition Classes
    ImmutableMat → Mat
  98. lazy val nullity: Int
    Definition Classes
    ImmutableMat → Mat
  99. def par: ParIterable[T]
    Definition Classes
    Parallelizable
  100. def parCombiner: Combiner[T, ParIterable[T]]
    Attributes
    protected[this]
    Definition Classes
    TraversableLike → Parallelizable
  101. def partition(p: (T) ⇒ Boolean): (Traversable[T], Traversable[T])
    Definition Classes
    TraversableLike → GenTraversableLike
  102. def product[B >: T](implicit num: Numeric[B]): B
    Definition Classes
    TraversableOnce → GenTraversableOnce
  103. def qrDecomposition(implicit ips: InnerProductSpace[T]): (Mat[T], Mat[T])

    Returns the QR decomposition of this matrix.

    Returns the QR decomposition of this matrix.

    returns

    (Q,R) where Q * R = this

    Definition Classes
    Mat
  104. def qrLeastSquaresSolveFor(y: Vec[T])(implicit ips: InnerProductSpace[T]): Vec[T]

    Least squares solve using Q/R decomposition.

    Least squares solve using Q/R decomposition.

    Use leastSquaresSolveFor() instead unless you really must have the Q/R version.

    Definition Classes
    Mat
  105. lazy val rank: Int
    Definition Classes
    ImmutableMat → Mat
  106. def reduce[A1 >: T](op: (A1, A1) ⇒ A1): A1
    Definition Classes
    TraversableOnce → GenTraversableOnce
  107. def reduceLeft[B >: T](op: (B, T) ⇒ B): B
    Definition Classes
    TraversableOnce
  108. def reduceLeftOption[B >: T](op: (B, T) ⇒ B): Option[B]
    Definition Classes
    TraversableOnce → GenTraversableOnce
  109. def reduceOption[A1 >: T](op: (A1, A1) ⇒ A1): Option[A1]
    Definition Classes
    TraversableOnce → GenTraversableOnce
  110. def reduceRight[B >: T](op: (T, B) ⇒ B): B
    Definition Classes
    TraversableOnce → GenTraversableOnce
  111. def reduceRightOption[B >: T](op: (T, B) ⇒ B): Option[B]
    Definition Classes
    TraversableOnce → GenTraversableOnce
  112. def reducedRowEchelonForm: (Mat[T], IndexedSeq[Int])

    Returns row reduced echelon form and row swap list.

    Returns row reduced echelon form and row swap list.

    U is the reduced row echelon matrix. rows is a mapping of rows from original matrix to U

    returns

    (U, rows)

    Definition Classes
    ImmutableMat → Mat
  113. def repr: Traversable[T]
    Definition Classes
    TraversableLike → GenTraversableLike
  114. def reversed: List[T]
    Attributes
    protected[this]
    Definition Classes
    TraversableOnce
  115. def row(index: Int): Vec[T]
    Definition Classes
    Mat
  116. lazy val rowSpace: Basis[T]

    Calculate A basis for the row space of this matrix.

    Calculate A basis for the row space of this matrix. Note that this is just one of the bases that span this space.

    Definition Classes
    ImmutableMat → Mat
  117. def rows: Seq[Vec[T]]
    Definition Classes
    Mat
  118. def scan[B >: T, That](z: B)(op: (B, B) ⇒ B)(implicit cbf: CanBuildFrom[Traversable[T], B, That]): That
    Definition Classes
    TraversableLike → GenTraversableLike
  119. def scanLeft[B, That](z: B)(op: (B, T) ⇒ B)(implicit bf: CanBuildFrom[Traversable[T], B, That]): That
    Definition Classes
    TraversableLike → GenTraversableLike
  120. def scanRight[B, That](z: B)(op: (T, B) ⇒ B)(implicit bf: CanBuildFrom[Traversable[T], B, That]): That
    Definition Classes
    TraversableLike → GenTraversableLike
    Annotations
    @migration
    Migration

    (Changed in version 2.9.0) The behavior of scanRight has changed. The previous behavior can be reproduced with scanRight.reverse.

  121. def seq: Traversable[T]
    Definition Classes
    Traversable → GenTraversable → Parallelizable → TraversableOnce → GenTraversableOnce
  122. val size: Int
    Definition Classes
    Mat → GenTraversableLike → TraversableOnce → GenTraversableOnce
  123. def sizeHintIfCheap: Int
    Attributes
    protected[scala.collection]
    Definition Classes
    GenTraversableOnce
  124. def slice(from: Int, until: Int): Traversable[T]
    Definition Classes
    TraversableLike → GenTraversableLike
  125. def solveFor(y: Vec[T]): LinearSystemSolution[T]

    Solve Ax = y for this matrix.

    Solve Ax = y for this matrix.

    A is this matrix, y is provided vector. Returns solution x

    returns

    x such that this * x = y

    Definition Classes
    Mat
  126. def span(p: (T) ⇒ Boolean): (Traversable[T], Traversable[T])
    Definition Classes
    TraversableLike → GenTraversableLike
  127. def splitAt(n: Int): (Traversable[T], Traversable[T])
    Definition Classes
    TraversableLike → GenTraversableLike
  128. def stringPrefix: String
    Definition Classes
    TraversableLike → GenTraversableLike
  129. def sum[B >: T](implicit num: Numeric[B]): B
    Definition Classes
    TraversableOnce → GenTraversableOnce
  130. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  131. def tail: Traversable[T]
    Definition Classes
    TraversableLike → GenTraversableLike
  132. def tails: Iterator[Traversable[T]]
    Definition Classes
    TraversableLike
  133. def take(n: Int): Traversable[T]
    Definition Classes
    TraversableLike → GenTraversableLike
  134. def takeWhile(p: (T) ⇒ Boolean): Traversable[T]
    Definition Classes
    TraversableLike → GenTraversableLike
  135. def thisCollection: Traversable[T]
    Attributes
    protected[this]
    Definition Classes
    TraversableLike
  136. def to[Col[_]](implicit cbf: CanBuildFrom[Nothing, T, Col[T]]): Col[T]
    Definition Classes
    TraversableLike → TraversableOnce → GenTraversableOnce
  137. def toArray[B >: T](implicit arg0: ClassTag[B]): Array[B]
    Definition Classes
    TraversableOnce → GenTraversableOnce
  138. def toBuffer[B >: T]: Buffer[B]
    Definition Classes
    TraversableOnce → GenTraversableOnce
  139. def toCollection(repr: Traversable[T]): Traversable[T]
    Attributes
    protected[this]
    Definition Classes
    TraversableLike
  140. def toIndexedSeq: IndexedSeq[T]
    Definition Classes
    TraversableOnce → GenTraversableOnce
  141. def toIterable: Iterable[T]
    Definition Classes
    TraversableOnce → GenTraversableOnce
  142. def toIterator: Iterator[T]
    Definition Classes
    TraversableLike → GenTraversableOnce
  143. def toList: List[T]
    Definition Classes
    TraversableOnce → GenTraversableOnce
  144. def toMap[T, U](implicit ev: <:<[T, (T, U)]): Map[T, U]
    Definition Classes
    TraversableOnce → GenTraversableOnce
  145. def toSeq: Seq[T]
    Definition Classes
    TraversableOnce → GenTraversableOnce
  146. def toSet[B >: T]: Set[B]
    Definition Classes
    TraversableOnce → GenTraversableOnce
  147. def toStream: Stream[T]
    Definition Classes
    TraversableLike → GenTraversableOnce
  148. def toString(): String
    Definition Classes
    Mat → TraversableLike → AnyRef → Any
  149. def toTraversable: Traversable[T]
    Definition Classes
    TraversableLike → TraversableOnce → GenTraversableOnce
    Annotations
    @deprecatedOverriding( ... , "2.11.0" )
  150. def toVector: Vector[T]
    Definition Classes
    TraversableOnce → GenTraversableOnce
  151. def transpose[B](implicit asTraversable: (T) ⇒ GenTraversableOnce[B]): Traversable[Traversable[B]]
    Definition Classes
    GenericTraversableTemplate
    Annotations
    @migration
    Migration

    (Changed in version 2.9.0) transpose throws an IllegalArgumentException if collections are not uniformly sized.

  152. lazy val transpose: Mat[T]
    Definition Classes
    ImmutableMat → Mat
  153. def triangularSolveFor(y: Vec[T]): Vec[T]

    Solve Ax = y for this TRIANGULAR matrix.

    Solve Ax = y for this TRIANGULAR matrix.

    A is this matrix which is required to be upper triangular, y is provided vector. Returns solution x

    returns

    x such that this * x = y

    Definition Classes
    Mat
  154. def unzip[A1, A2](implicit asPair: (T) ⇒ (A1, A2)): (Traversable[A1], Traversable[A2])
    Definition Classes
    GenericTraversableTemplate
  155. def unzip3[A1, A2, A3](implicit asTriple: (T) ⇒ (A1, A2, A3)): (Traversable[A1], Traversable[A2], Traversable[A3])
    Definition Classes
    GenericTraversableTemplate
  156. def vectorFactory: VecFactory
    Definition Classes
    Mat
  157. def view(from: Int, until: Int): TraversableView[T, Traversable[T]]
    Definition Classes
    TraversableLike
  158. def view: TraversableView[T, Traversable[T]]
    Definition Classes
    TraversableLike
  159. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  160. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  161. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  162. def withFilter(p: (T) ⇒ Boolean): FilterMonadic[T, Traversable[T]]
    Definition Classes
    TraversableLike → FilterMonadic

Inherited from Mat[T]

Inherited from Traversable[T]

Inherited from GenTraversable[T]

Inherited from GenericTraversableTemplate[T, Traversable]

Inherited from TraversableLike[T, Traversable[T]]

Inherited from GenTraversableLike[T, Traversable[T]]

Inherited from Parallelizable[T, ParIterable[T]]

Inherited from TraversableOnce[T]

Inherited from GenTraversableOnce[T]

Inherited from FilterMonadic[T, Traversable[T]]

Inherited from HasNewBuilder[T, Traversable[T]]

Inherited from AnyRef

Inherited from Any

Ungrouped