Packages

final class LinearMoment[E <: Aux[M] with Singleton, M <: MonoDef with Singleton] extends LinearMomentLike[E, generic.LinearMoment.E.Mono]

Evaluated noncommutative polynomial.

Self Type
E.LinearMomentType
Source
LinearMoment.scala
Linear Supertypes
LinearMomentLike[E, M], AnyRef, Any
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Inherited
  1. LinearMoment
  2. LinearMomentLike
  3. AnyRef
  4. Any
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new LinearMoment(normalForm: M.PolyType)(implicit arg0: Aux[E], arg1: Aux[E.Mono])

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. def <=!(rhs: Cyclo)(implicit E: Aux[E], M: Aux[E.Mono]): ScalarConstraint[E, E.Mono]
    Definition Classes
    LinearMomentLike
  4. def <=!(rhs: Rational)(implicit E: Aux[E], M: Aux[E.Mono]): ScalarConstraint[E, E.Mono]
    Definition Classes
    LinearMomentLike
  5. def <=!(rhs: Int)(implicit E: Aux[E], M: Aux[E.Mono]): ScalarConstraint[E, E.Mono]
    Definition Classes
    LinearMomentLike
  6. def <=!(rhs: LinearMomentLike[E, E.Mono])(implicit E: Aux[E], M: Aux[E.Mono]): ScalarConstraint[E, E.Mono]
    Definition Classes
    LinearMomentLike
  7. def =!(rhs: Cyclo)(implicit E: Aux[E], M: Aux[E.Mono]): ScalarConstraint[E, E.Mono]
    Definition Classes
    LinearMomentLike
  8. def =!(rhs: Rational)(implicit E: Aux[E], M: Aux[E.Mono]): ScalarConstraint[E, E.Mono]
    Definition Classes
    LinearMomentLike
  9. def =!(rhs: Int)(implicit E: Aux[E], M: Aux[E.Mono]): ScalarConstraint[E, E.Mono]
    Definition Classes
    LinearMomentLike
  10. def =!(rhs: LinearMomentLike[E, E.Mono])(implicit E: Aux[E], M: Aux[E.Mono]): ScalarConstraint[E, E.Mono]
    Definition Classes
    LinearMomentLike
  11. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  12. def >=!(rhs: Cyclo)(implicit E: Aux[E], M: Aux[E.Mono]): ScalarConstraint[E, E.Mono]
    Definition Classes
    LinearMomentLike
  13. def >=!(rhs: Rational)(implicit E: Aux[E], M: Aux[E.Mono]): ScalarConstraint[E, E.Mono]
    Definition Classes
    LinearMomentLike
  14. def >=!(rhs: Int)(implicit E: Aux[E], M: Aux[E.Mono]): ScalarConstraint[E, E.Mono]
    Definition Classes
    LinearMomentLike
  15. def >=!(rhs: LinearMomentLike[E, E.Mono])(implicit E: Aux[E], M: Aux[E.Mono]): ScalarConstraint[E, E.Mono]
    Definition Classes
    LinearMomentLike
  16. def E: E
  17. def M: E.Mono
  18. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  19. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  20. def coeff(mono: SingleMoment[E, E.Mono]): Cyclo
  21. def coeff(i: Int): Cyclo
  22. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  23. def equals(any: Any): Boolean
    Definition Classes
    LinearMoment → AnyRef → Any
  24. def expandIn(relaxation: Relaxation[E, E.Mono]): Seq[BasisTerm]

    Expands this polynomial in the given SDP relaxation such that real(L(poly)) = sum_i terms(i).realPart * y(terms(i).basisIndex)) imag(L(poly)) = sum_i terms(i).imagPart * y(terms(i).basisIndex))

  25. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  26. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  27. def hashCode(): Int
    Definition Classes
    LinearMoment → AnyRef → Any
  28. def invariantSubgroupOf(grp: Grp[M.PermutationType]): Grp[M.PermutationType]
  29. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  30. def isZero: Boolean
  31. def maximize(implicit E: Aux[E], M: Aux[E.Mono]): Optimization[E, E.Mono]
    Definition Classes
    LinearMomentLike
  32. def minimize(implicit E: Aux[E], M: Aux[E.Mono]): Optimization[E, E.Mono]
    Definition Classes
    LinearMomentLike
  33. def monomial(i: Int): SingleMoment[E, E.Mono]
  34. def nTerms: Int
  35. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  36. val normalForm: M.PolyType
  37. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  38. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  39. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  40. def toPoly: LinearMoment[E, E.Mono]
    Definition Classes
    LinearMoment → LinearMomentLike
  41. def toString(): String
    Definition Classes
    LinearMoment → AnyRef → Any
  42. def vectorOverOrderedSet(orderedSet: OrderedSet[SingleMoment[E, E.Mono]])(implicit V: VecEngine[Cyclo]): Vec[Cyclo]
  43. def vectorRealImagPartsIn(relaxation: Relaxation[E, E.Mono]): Seq[Vec[Double]]
  44. def vectorSelfAdjointIn(relaxation: Relaxation[E, E.Mono]): Vec[Double]

    Expands this evaluated polynomial in the given SDP relaxation.

    Expands this evaluated polynomial in the given SDP relaxation.

    Returns a vector v such that the product v * y gives the value of this evaluated polynomial, with y the real variables of the SDP relaxation.

  45. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  46. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  47. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )

Inherited from LinearMomentLike[E, M]

Inherited from AnyRef

Inherited from Any

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