it.grypho.scala.leonardo.matrix._EigenDecomposition
Eigenvalue decomposition: eigen(A) -- returns [[lambda_1, lambda_2, ..., lambda_n]].
Eigenvalues are _Number for real results and _Complex for complex conjugate pairs. Evaluates when A reduces to a square dense _MatrixValue via the QR iteration kernel; stays symbolic for non-square operands or when the iteration does not converge.
Does NOT extend _MatrixOperation because the result is not a matrix of Doubles (eigenvalues can be complex): it stays as Left(_Matrix(1, n, ...)) rather than collapsing to a single _MatrixValue.
Value parameters
m
the square matrix expression whose eigenvalues to compute
Attributes
Graph
Reset zoom Hide graph Show graph
Supertypes
trait Serializable
trait Product
trait Equals
class Object
trait Matchable
class Any
Show all
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
