Matrix class abstract

An algebraic matrix with extended functionality, adapted for data science applications

Implemented types

Constructors

Matrix.column(List<double> source, {DType dtype = DType.float32})
Creates a matrix, consisting of just one column (aka Column matrix)
factory
Matrix.diagonal(List<double> source, {DType dtype = DType.float32})
Creates a matrix, where elements from source are the elements for the matrix main diagonal, the rest of the elements are zero
factory
Matrix.empty({DType dtype = DType.float32})
Creates a matrix of shape 0 x 0 (no rows, no columns)
factory
Matrix.fromByteData(ByteData data, int rowCount, int columnCount, {DType dtype = DType.float32})
Creates a matrix from byte data of rowCount * columnCount elements
factory
Matrix.fromColumns(List<Vector> source, {DType dtype = DType.float32})
Creates a matrix with predefined column vectors
factory
Matrix.fromFlattenedList(List<double> source, int rowCount, int columnCount, {DType dtype = DType.float32})
Creates a matrix from flattened list of length equal to rowCount * columnCount
factory
Matrix.fromJson(Map<String, dynamic> json)
Returns a restored matrix from a serializable map
factory
Matrix.fromList(List<List<double>> source, {DType dtype = DType.float32})
Creates a matrix from a two dimensional list, every nested list is a source for a matrix row.
factory
Matrix.fromRows(List<Vector> source, {DType dtype = DType.float32})
Creates a matrix with predefined row vectors
factory
Matrix.identity(int size, {DType dtype = DType.float32})
Creates a matrix of size * size dimension, where all the main diagonal elements are equal to 1, the rest of the elements are 0
factory
Matrix.random(int rowCount, int columnCount, {DType dtype = DType.float32, num min = -1000, num max = 1000, int? seed})
Returns randomly filled matrix of rowCountxcolumnCount dimension
factory
Matrix.randomSPD(int size, {DType dtype = DType.float32, num min = -1000, num max = 1000, int? seed})
Returns randomly filled symmetric and positive definite matrix of sizexsize dimension
factory
Matrix.row(List<double> source, {DType dtype = DType.float32})
Creates a matrix, consisting of just one row (aka Row matrix)
factory
Matrix.scalar(double scalar, int size, {DType dtype = DType.float32})
Creates a matrix of size * size dimension, where all the main diagonal elements are equal to scalar, the rest of the elements are 0
factory

Properties

asFlattenedList → List<double>
Returns a representation of the matrix as a flattened list:
no setter
columnCount → int
Returns a number of matrix columns
no setter
columnIndices → Iterable<int>
Returns a lazy iterable of column indices
no setter
columns → Iterable<Vector>
Returns a lazy iterable of column vectors of the matrix
no setter
columnsNum → int
Returns a number of matrix columns
no setter
dtype → DType
A data type of Matrix elements
no setter
first → Iterable<double>
The first element.
no setterinherited
hasData → bool
Returns true if the Matrix is not empty. Use it instead of isEmpty getter from Iterable interface, since the latter may return falsy true
no setter
hashCode → int
The hash code for this object.
no setterinherited
isEmpty → bool
Whether this collection has no elements.
no setterinherited
isNotEmpty → bool
Whether this collection has at least one element.
no setterinherited
isSquare → bool
Returns true if the Matrix's columnCount and rowCount are equal
no setter
iterator → Iterator<Iterable<double>>
A new Iterator that allows iterating the elements of this Iterable.
no setterinherited
last → Iterable<double>
The last element.
no setterinherited
length → int
The number of elements in this Iterable.
no setterinherited
rowCount → int
Returns a number of matrix rows
no setter
rowIndices → Iterable<int>
Returns a lazy iterable of row indices
no setter
rows → Iterable<Vector>
Returns a lazy iterable of row vectors of the matrix
no setter
rowsNum → int
Returns a number of matrix rows
no setter
runtimeType → Type
A representation of the runtime type of the object.
no setterinherited
single → Iterable<double>
Checks that this iterable has only one element, and returns that element.
no setterinherited

Methods

any(bool test(Iterable<double> element)) → bool
Checks whether any element of this iterable satisfies test.
inherited
cast<R>() → Iterable<R>
A view of this iterable as an iterable of R instances.
inherited
contains(Object? element) → bool
Whether the collection contains an element equal to element.
inherited
decompose([Decomposition decompositionType]) → Iterable<Matrix>
Decomposes the original matrix into several matrices whose product results in the original matrix Default value id Decomposition.LU
deviation([Axis axis = Axis.columns]) → Vector
Returns standard deviation values of matrix column/rows
eigen({EigenMethod method, Vector? initial, int iterationCount, int? seed}) → Iterable<Eigen>
Returns a collection of pairs of an eigenvector and its corresponding eigenvalue
elementAt(int index) → Iterable<double>
Returns the indexth element.
inherited
every(bool test(Iterable<double> element)) → bool
Checks whether every element of this iterable satisfies test.
inherited
exp({bool skipCaching = false}) → Matrix
Creates a new Matrix composed of Euler's numbers raised to powers which are the elements of this Matrix
expand<T>(Iterable<T> toElements(Iterable<double> element)) → Iterable<T>
Expands each element of this Iterable into zero or more elements.
inherited
fastMap<E>(E mapper(E columnElement)) → Matrix
Creates a new matrix, efficiently iterating through all the matrix elements (several floating point elements in a time) and applying the mapper function
filterColumns(bool predicate(Vector column, int idx)) → Matrix
Returns a new matrix consisting of filtered columns of the original matrix
firstWhere(bool test(Iterable<double> element), {Iterable<double> orElse()?}) → Iterable<double>
The first element that satisfies the given predicate test.
inherited
fold<T>(T initialValue, T combine(T previousValue, Iterable<double> element)) → T
Reduces a collection to a single value by iteratively combining each element of the collection with an existing value
inherited
followedBy(Iterable<Iterable<double>> other) → Iterable<Iterable<double>>
Creates the lazy concatenation of this iterable and other.
inherited
forEach(void action(Iterable<double> element)) → void
Invokes action on each element of this iterable in iteration order.
inherited
getColumn(int index) → Vector
Returns a column of the matrix on index
getRow(int index) → Vector
Returns a row of the matrix on index
insertColumns(int index, List<Vector> columns) → Matrix
Returns a new matrix with inserted columns
inverse([Inverse inverseType]) → Matrix
Finds the inverse of the original matrix. Product of the inverse and the original matrix results in singular matrix Default value is Inverse.LU
join([String separator = ""]) → String
Converts each element to a String and concatenates the strings.
inherited
lastWhere(bool test(Iterable<double> element), {Iterable<double> orElse()?}) → Iterable<double>
The last element that satisfies the given predicate test.
inherited
log({bool skipCaching = false}) → Matrix
Creates a new Matrix composed of natural logarithms of the source matrix elements
map<T>(T toElement(Iterable<double> e)) → Iterable<T>
The current elements of this iterable modified by toElement.
inherited
mapColumns(Vector mapper(Vector column)) → Matrix
Performs column-wise mapping of this Matrix to a new one via passed mapper function
mapElements(double mapper(double element)) → Matrix
Performs element-wise mapping of this Matrix to a new one via passed mapper function
mapRows(Vector mapper(Vector row)) → Matrix
Performs row-wise mapping of this Matrix to a new one via passed mapper function
max() → double
Returns a max value of the matrix
mean([Axis axis = Axis.columns]) → Vector
Returns mean values of matrix column/rows
min() → double
Return a min value of the matrix
multiply(Matrix other) → Matrix
Performs Hadamard product - element-wise matrices multiplication
norm([MatrixNorm norm]) → double
Returns a norm of a matrix
noSuchMethod(Invocation invocation) → dynamic
Invoked when a nonexistent method or property is accessed.
inherited
pow(num exponent) → Matrix
Raise all the elements of the matrix to the power exponent and returns a new Matrix with these elements. Avoid raising a matrix to a float power, since it is a slow operation
prod() → double
Returns the product of all the matrix elements
reduce(Iterable<double> combine(Iterable<double> value, Iterable<double> element)) → Iterable<double>
Reduces a collection to a single value by iteratively combining elements of the collection using the provided function.
inherited
reduceColumns(Vector combiner(Vector combine, Vector vector), {Vector? initValue}) → Vector
Reduces all the matrix columns to only column, using combiner function
reduceRows(Vector combiner(Vector combine, Vector vector), {Vector? initValue}) → Vector
Reduces all the matrix rows to only row, using combiner function
sample({Iterable<int> rowIndices, Iterable<int> columnIndices}) → Matrix
Samples a new Matrix from parts of this Matrix
singleWhere(bool test(Iterable<double> element), {Iterable<double> orElse()?}) → Iterable<double>
The single element that satisfies test.
inherited
skip(int count) → Iterable<Iterable<double>>
Creates an Iterable that provides all but the first count elements.
inherited
skipWhile(bool test(Iterable<double> value)) → Iterable<Iterable<double>>
Creates an Iterable that skips leading elements while test is satisfied.
inherited
solve(Matrix B, [Inverse inverse]) → Matrix
Returns a solution for a system of linear equations:
sort(double selectSortValue(Vector vector), [Axis axis = Axis.rows, SortDirection sortDir = SortDirection.asc]) → Matrix
Returns a new matrix with sorted elements from this Matrix
sum() → double
Returns the sum of all the matrix elements
take(int count) → Iterable<Iterable<double>>
Creates a lazy iterable of the count first elements of this iterable.
inherited
takeWhile(bool test(Iterable<double> value)) → Iterable<Iterable<double>>
Creates a lazy iterable of the leading elements satisfying test.
inherited
toJson() → Map<String, dynamic>
Returns a serializable map
toList({bool growable = true}) → List<Iterable<double>>
Creates a List containing the elements of this Iterable.
inherited
toSet() → Set<Iterable<double>>
Creates a Set containing the same elements as this iterable.
inherited
toString() → String
A string representation of this object.
inherited
toVector() → Vector
Tries to convert the Matrix to a vector:
transpose() → Matrix
Performs transposition of the matrix
uniqueRows() → Matrix
Extracts non-repeated matrix rows and pack them into matrix
variance([Axis axis = Axis.columns]) → Vector
Returns variance of matrix column/rows
where(bool test(Iterable<double> element)) → Iterable<Iterable<double>>
Creates a new lazy Iterable with all elements that satisfy the predicate test.
inherited
whereType<T>() → Iterable<T>
Creates a new lazy Iterable with all elements that have type T.
inherited

Operators

operator *(Object value) → Matrix
Performs multiplication of the matrix and a matrix/ a vector/ a scalar/ whatever
operator +(Object value) → Matrix
Performs sum of the matrix and a matrix/ a vector/ a scalar/ whatever
operator -(Object value) → Matrix
Performs subtraction of the matrix and a matrix/ a vector/ a scalar/ whatever
operator /(Object value) → Matrix
Performs division of the matrix by a matrix/ a vector/ a scalar
operator ==(Object other) → bool
The equality operator.
inherited
operator [](int index) → Vector
Returns a matrix row on an index (the operator is an alias for getRow method)