it.grypho.scala.leonardo.matrix._MatrixExponential
Matrix exponential: expm(A).
Evaluates when A reduces to a square dense _MatrixValue, via the core._MatrixValue.expm kernel (scaling and squaring with a degree-13 Padé approximant); stays symbolic for a non-square or symbolic operand.
Extends _MatrixOperation, unlike the decompositions beside it , because its result is a single matrix rather than a row of them -- so isMatrixShaped picks it up and expm(A) * B dispatches as a matrix product rather than a scalar one.
Distinct from A^n: that is repeated multiplication by binary exponentiation, this is the exponential series, and the two share no machinery.
Value parameters
m
the matrix expression to exponentiate
Attributes
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Supertypes
trait Serializable
trait Product
trait Equals
class Object
trait Matchable
class Any
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Members list
Sub-expressions subject to recursive structural traversal. Binder positions (e.g. the differentiation variable) are excluded.
Sub-expressions subject to recursive structural traversal. Binder positions (e.g. the differentiation variable) are excluded.
Attributes
Definition Classes
Reduces this expression in the given environment.
Reduces this expression in the given environment.
Value parameters
env
variable bindings and display precision
Attributes
Returns
Right(v) when all free variables resolved to concrete values; Left(e) when reduction is partial or impossible
Definition Classes
Reconstructs the same node shape with replacement sub-expressions.
Reconstructs the same node shape with replacement sub-expressions.
Value parameters
newChildren
replacements in the same order and count as children
Attributes
Definition Classes
Returns a string representation of the object.
Returns a string representation of the object.
The default representation is platform dependent.
Attributes
Returns
a string representation of the object.
Definition Classes
Any
Attributes
Inherited from:
Product
Attributes
Inherited from:
Product
Cached set of free variable names; O(1) after the first access.
Cached set of free variable names; O(1) after the first access.
Attributes
Inherited from:
_Expression
