object MatrixQ extends Error with Serializable
The MatrixQ companion object provides operations for MatrixQ that don't require
'this' (like static methods in Java). It provides factory methods for building
matrices from files or vectors.
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- def ++(u: VectoQ, w: VectoQ): MatrixQ
Concatenate (row) vectors 'u' and 'w' to form a matrix with 2 rows.
Concatenate (row) vectors 'u' and 'w' to form a matrix with 2 rows.
- u
the vector to be concatenated as the new first row in matrix
- w
the vector to be concatenated as the new second row in matrix
- def ++^(u: VectoQ, w: VectoQ): MatrixQ
Concatenate (column) vectors 'u' and 'w' to form a matrix with 2 columns.
Concatenate (column) vectors 'u' and 'w' to form a matrix with 2 columns.
- u
the vector to be concatenated as the new first column in matrix
- w
the vector to be concatenated as the new second column in matrix
- final def ==(arg0: Any): Boolean
- Definition Classes
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- def apply(fileName: String, skip: Int): MatrixQ
Create a matrix by reading from a text file, e.g., a CSV file.
Create a matrix by reading from a text file, e.g., a CSV file.
- fileName
the name of file holding the data
- skip
the initial number of lines to skip
- def apply(fileName: String): MatrixQ
Create a matrix by reading from a text file, e.g., a CSV file.
Create a matrix by reading from a text file, e.g., a CSV file.
- fileName
the name of file holding the data
- def apply(dim: (Int, Int), u: Rational*): MatrixQ
Create a symmetric matrix from repeated values in a lower triangular form.
Create a symmetric matrix from repeated values in a lower triangular form.
- dim
the (row, column) dimensions
- u
the repeated values
- def apply(u: Vector[VectoQ]): MatrixQ
Create a matrix and assign values from the Scala
Vectorof vectors 'u'.Create a matrix and assign values from the Scala
Vectorof vectors 'u'. Assumes vectors are column-wise.- u
the
Vectorof vectors to assign
- def apply(u: Seq[VectoQ], columnwise: Boolean = true): MatrixQ
Create a matrix and assign values from a sequence/array of vectors 'u'.
Create a matrix and assign values from a sequence/array of vectors 'u'.
- u
the sequence/array of vectors to assign
- columnwise
whether the vectors are treated as column or row vectors
- def apply(u: Array[Array[Rational]]): MatrixQ
Create a matrix from a two-dimensional array 'u'.
Create a matrix from a two-dimensional array 'u'.
- u
the 2D array for the matrix
- final def asInstanceOf[T0]: T0
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- def eye(m: Int, n: Int = 0): MatrixQ
Create an 'm-by-n' identity matrix I (ones on main diagonal, zeros elsewhere).
Create an 'm-by-n' identity matrix I (ones on main diagonal, zeros elsewhere). If 'n' is <= 0, set it to 'm' for a square identity matrix. FIX: store as a diagonal matrix.
- m
the row dimension of the matrix
- n
the column dimension of the matrix (defaults to 0 => square matrix)
- final 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
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- def form_cw(x: VectoQ, y: Rational): MatrixQ
Form a matrix from a vector 'x' and a scalar 'y', column-wise.
Form a matrix from a vector 'x' and a scalar 'y', column-wise.
- x
the first vector -> column 0
- y
the second scalar -> column 1 (repeat scalar)
- def form_cw(x: Rational, y: VectoQ): MatrixQ
Form a matrix from a scalar 'x' and a vector 'y', column-wise.
Form a matrix from a scalar 'x' and a vector 'y', column-wise.
- x
the first scalar -> column 0 (repeat scalar)
- y
the second vector -> column 1
- def form_cw(x: VectoQ, y: VectoQ): MatrixQ
Form a matrix from two vectors 'x' and 'y', column-wise.
Form a matrix from two vectors 'x' and 'y', column-wise.
- x
the first vector -> column 0
- y
the second vector -> column 1
- def form_rw(x: VectoQ, y: Rational): MatrixQ
Form a matrix from a vector 'x' and a scalar 'y', row-wise.
Form a matrix from a vector 'x' and a scalar 'y', row-wise.
- x
the first vector -> row 0
- y
the second scalar -> row 1 (repeat scalar)
- def form_rw(x: Rational, y: VectoQ): MatrixQ
Form a matrix from scalar 'x' and a vector 'y', row-wise.
Form a matrix from scalar 'x' and a vector 'y', row-wise.
- x
the first scalar -> row 0 (repeat scalar)
- y
the second vector -> row 1
- def form_rw(x: VectoQ, y: VectoQ): MatrixQ
Form a matrix from two vectors 'x' and 'y', row-wise.
Form a matrix from two vectors 'x' and 'y', row-wise.
- x
the first vector -> row 0
- y
the second vector -> row 1
- final def getClass(): Class[_ <: AnyRef]
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- def outer(x: VectoQ, y: VectoQ): MatrixQ
Compute the outer product of vector 'x' and vector 'y'.
Compute the outer product of vector 'x' and vector 'y'. The result of the outer product is a matrix where 'c(i, j)' is the product of 'i'-th element of 'x' with the 'j'-th element of 'y'.
- x
the first vector
- y
the second vector
- def setSp(sp_: Char): Unit
Reset the separating character from its CSV default.
Reset the separating character from its CSV default.
- sp_
the new separating character
- final def synchronized[T0](arg0: => T0): T0
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- def times(u: VectoQ, a: MatrixQ): VectorQ
Multiply vector 'u' by matrix 'a'.
Multiply vector 'u' by matrix 'a'. Treat 'u' as a row vector.
- u
the vector to multiply by
- a
the matrix to multiply by (requires 'sameCrossDimensions')
- def toString(): String
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