QuadraticFunction (ojAlgo 47.2.0 API)

java.lang.Object
- org.ojalgo.function.multiary.QuadraticFunction<N>

All Implemented Interfaces:

BasicFunction, BasicFunction.PlainUnary<Access1D<N>,N>, MultiaryFunction<N>, MultiaryFunction.Constant<N,QuadraticFunction<N>>, MultiaryFunction.Quadratic<N>, MultiaryFunction.TwiceDifferentiable<N>
```
public final class QuadraticFunction<N extends Number>
extends Object
implements MultiaryFunction.Quadratic<N>
```
[x]^T[Q][x] + c

Author:

apete

Nested Class Summary
- Nested classes/interfaces inherited from interface org.ojalgo.function.multiary.MultiaryFunction
  MultiaryFunction.Constant<N extends Number,F extends MultiaryFunction.Constant<N,?>>, MultiaryFunction.Convex<N extends Number>, MultiaryFunction.Linear<N extends Number>, MultiaryFunction.Quadratic<N extends Number>, MultiaryFunction.TwiceDifferentiable<N extends Number>
- Nested classes/interfaces inherited from interface org.ojalgo.function.BasicFunction
  BasicFunction.Differentiable<N extends Number,F extends BasicFunction>, BasicFunction.Integratable<N extends Number,F extends BasicFunction>, BasicFunction.PlainUnary<T,R>

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`int`	`arity()`
`F`	`constant(Number constant)`
`protected PhysicalStore.Factory<N,?>`	`factory()`
`N`	`getConstant()`
`MatrixStore<N>`	`getGradient(Access1D<N> point)` The gradient of a scalar field is a vector field that points in the direction of the greatest rate of increase of the scalar field, and whose magnitude is that rate of increase.
`MatrixStore<N>`	`getHessian(Access1D<N> point)` The Hessian matrix or Hessian is a square matrix of second-order partial derivatives of a function.
`Access1D<N>`	`getLinearFactors()`
`protected Scalar<N>`	`getScalarConstant()`
`N`	`invoke(Access1D<N> arg)`
`static QuadraticFunction<ComplexNumber>`	`makeComplex(Access2D<? extends Number> factors)`
`static QuadraticFunction<ComplexNumber>`	`makeComplex(int arity)`
`static QuadraticFunction<Double>`	`makePrimitive(Access2D<? extends Number> factors)`
`static QuadraticFunction<Double>`	`makePrimitive(int arity)`
`static QuadraticFunction<RationalNumber>`	`makeRational(Access2D<? extends Number> factors)`
`static QuadraticFunction<RationalNumber>`	`makeRational(int arity)`
`PhysicalStore<N>`	`quadratic()`
`void`	`setConstant(Number constant)`
`FirstOrderApproximation<N>`	`toFirstOrderApproximation(Access1D<N> arg)`
`SecondOrderApproximation<N>`	`toSecondOrderApproximation(Access1D<N> arg)`

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface org.ojalgo.function.multiary.MultiaryFunction
andThen

- Method Detail
  - makeComplex
```
public static QuadraticFunction<ComplexNumber> makeComplex(Access2D<? extends Number> factors)
```
  - makeComplex
```
public static QuadraticFunction<ComplexNumber> makeComplex(int arity)
```
  - makePrimitive
```
public static QuadraticFunction<Double> makePrimitive(Access2D<? extends Number> factors)
```
  - makePrimitive
```
public static QuadraticFunction<Double> makePrimitive(int arity)
```
  - makeRational
```
public static QuadraticFunction<RationalNumber> makeRational(Access2D<? extends Number> factors)
```
  - makeRational
```
public static QuadraticFunction<RationalNumber> makeRational(int arity)
```
  - arity
```
public int arity()
```
    Specified by:
    
    arity in interface MultiaryFunction<N extends Number>
  - getGradient
```
public MatrixStore<N> getGradient(Access1D<N> point)
```
    Description copied from interface: MultiaryFunction.TwiceDifferentiable
    
    The gradient of a scalar field is a vector field that points in the direction of the greatest rate of increase of the scalar field, and whose magnitude is that rate of increase.
    
    The Jacobian is a generalization of the gradient. Gradients are only defined on scalar-valued functions, but Jacobians are defined on vector- valued functions. When f is real-valued (i.e., f : Rn → R) the derivative Df(x) is a 1 × n matrix, i.e., it is a row vector. Its transpose is called the gradient of the function: ∇f(x) = Df(x)^T , which is a (column) vector, i.e., in Rn. Its components are the partial derivatives of f:
    
    The first-order approximation of f at a point x ∈ int dom f can be expressed as (the affine function of z) f(z) = f(x) + ∇f(x)T (z − x).
    
    Specified by:
    
    getGradient in interface MultiaryFunction.TwiceDifferentiable<N extends Number>
  - getHessian
```
public MatrixStore<N> getHessian(Access1D<N> point)
```
    Description copied from interface: MultiaryFunction.TwiceDifferentiable
    
    The Hessian matrix or Hessian is a square matrix of second-order partial derivatives of a function. It describes the local curvature of a function of many variables. The Hessian is the Jacobian of the gradient.
    
    The second-order approximation of f, at or near x, is the quadratic function of z defined by f(z) = f(x) + ∇f(x)T (z − x) + (1/2)(z − x)T ∇2f(x)(z − x)
    
    Specified by:
    
    getHessian in interface MultiaryFunction.TwiceDifferentiable<N extends Number>
  - invoke
```
public N invoke(Access1D<N> arg)
```
    Specified by:
    
    invoke in interface BasicFunction.PlainUnary<Access1D<N extends Number>,N extends Number>
    
    Specified by:
    
    invoke in interface MultiaryFunction<N extends Number>
  - quadratic
```
public PhysicalStore<N> quadratic()
```
    Specified by:
    
    quadratic in interface MultiaryFunction.Quadratic<N extends Number>
  - factory
```
protected PhysicalStore.Factory<N,?> factory()
```
  - constant
```
public final F constant(Number constant)
```
    Specified by:
    
    constant in interface MultiaryFunction.Constant<N extends Number,F extends org.ojalgo.function.multiary.AbstractMultiary<N,?>>
  - getConstant
```
public final N getConstant()
```
    Specified by:
    
    getConstant in interface MultiaryFunction.Constant<N extends Number,F extends org.ojalgo.function.multiary.AbstractMultiary<N,?>>
  - getLinearFactors
```
public Access1D<N> getLinearFactors()
```
    Specified by:
    
    getLinearFactors in interface MultiaryFunction.TwiceDifferentiable<N extends Number>
    
    Returns:
    
    The gradient at 0 (0-vector)
  - setConstant
```
public final void setConstant(Number constant)
```
    Specified by:
    
    setConstant in interface MultiaryFunction.Constant<N extends Number,F extends org.ojalgo.function.multiary.AbstractMultiary<N,?>>
  - toFirstOrderApproximation
```
public final FirstOrderApproximation<N> toFirstOrderApproximation(Access1D<N> arg)
```
    Specified by:
    
    toFirstOrderApproximation in interface MultiaryFunction.TwiceDifferentiable<N extends Number>
  - toSecondOrderApproximation
```
public final SecondOrderApproximation<N> toSecondOrderApproximation(Access1D<N> arg)
```
    Specified by:
    
    toSecondOrderApproximation in interface MultiaryFunction.TwiceDifferentiable<N extends Number>
  - getScalarConstant
```
protected final Scalar<N> getScalarConstant()
```

Class QuadraticFunction<N extends Number>

Nested Class Summary

Nested classes/interfaces inherited from interface org.ojalgo.function.multiary.MultiaryFunction

Nested classes/interfaces inherited from interface org.ojalgo.function.BasicFunction

Method Summary

Methods inherited from class java.lang.Object

Methods inherited from interface org.ojalgo.function.multiary.MultiaryFunction

Method Detail

makeComplex

makeComplex

makePrimitive

makePrimitive

makeRational

makeRational

arity

getGradient

getHessian

invoke

quadratic

factory

constant

getConstant

getLinearFactors

setConstant

toFirstOrderApproximation

toSecondOrderApproximation

getScalarConstant