object qr extends UFunc
QR Factorization
Previous versions of Breeze had qr(m, skipQ), where we could skip the computation in making Q if we didn't want it. That is now supplanted by qr.justR(m)
Supports complete and reduced mode of factorization of matrix A with dimensions (m, n). If mode is complete matrices Q and R have dimensions (m, m), (m, n). If mode is reduced matrices Q and R have dimensions (m, k), (k, n) with k = min(m, n).
Complete QR factorization can be called by qr(A).
Reduced QR factorization can be called by qr.reduced(A). If computation of Q is unnecessary, it can be skipped by qr.reduced.justR(A)
- returns
(Q, R) Q - A matrix with orthonormal columns R - The upper-triangular matrix
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Type Members
- type DenseQR = QR[DenseMatrix[Double]]
- type Impl[V, VR] = UImpl[qr.this.type, V, VR]
- Definition Classes
- UFunc
- type Impl2[V1, V2, VR] = UImpl2[qr.this.type, V1, V2, VR]
- Definition Classes
- UFunc
- type Impl3[V1, V2, V3, VR] = UImpl3[qr.this.type, V1, V2, V3, VR]
- Definition Classes
- UFunc
- type Impl4[V1, V2, V3, V4, VR] = UImpl4[qr.this.type, V1, V2, V3, V4, VR]
- Definition Classes
- UFunc
- type InPlaceImpl[V] = generic.UFunc.InPlaceImpl[qr.this.type, V]
- Definition Classes
- UFunc
- type InPlaceImpl2[V1, V2] = generic.UFunc.InPlaceImpl2[qr.this.type, V1, V2]
- Definition Classes
- UFunc
- type InPlaceImpl3[V1, V2, V3] = generic.UFunc.InPlaceImpl3[qr.this.type, V1, V2, V3]
- Definition Classes
- UFunc
- case class QR[M](q: M, r: M) extends Product with Serializable
- type SDenseQR = QR[DenseMatrix[Float]]
- type SinkImpl[S, V] = generic.UFunc.SinkImpl[qr.this.type, S, V]
- Definition Classes
- UFunc
- type SinkImpl2[S, V1, V2] = generic.UFunc.SinkImpl2[qr.this.type, S, V1, V2]
- Definition Classes
- UFunc
- type SinkImpl3[S, V1, V2, V3] = generic.UFunc.SinkImpl3[qr.this.type, S, V1, V2, V3]
- Definition Classes
- UFunc
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- final def !=(arg0: Any): Boolean
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- final def apply[V1, V2, V3, V4, VR](v1: V1, v2: V2, v3: V3, v4: V4)(implicit impl: Impl4[V1, V2, V3, V4, VR]): VR
- Definition Classes
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- final def apply[V1, V2, V3, VR](v1: V1, v2: V2, v3: V3)(implicit impl: Impl3[V1, V2, V3, VR]): VR
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- final def apply[V1, V2, VR](v1: V1, v2: V2)(implicit impl: Impl2[V1, V2, VR]): VR
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- final def apply[V, VR](v: V)(implicit impl: Impl[V, VR]): VR
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- final def inPlace[V, V2, V3](v: V, v2: V2, v3: V3)(implicit impl: generic.UFunc.InPlaceImpl3[qr.this.type, V, V2, V3]): V
- Definition Classes
- UFunc
- final def inPlace[V, V2](v: V, v2: V2)(implicit impl: generic.UFunc.InPlaceImpl2[qr.this.type, V, V2]): V
- Definition Classes
- UFunc
- final def inPlace[V](v: V)(implicit impl: generic.UFunc.InPlaceImpl[qr.this.type, V]): V
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- final def withSink[S](s: S): WithSinkHelp[qr.this.type, S]
- Definition Classes
- UFunc
- implicit object impl_DM_Double extends Impl[DenseMatrix[Double], DenseQR]
- implicit object impl_DM_Float extends Impl[DenseMatrix[Float], SDenseQR]
- object justQ extends UFunc
QR that just returns Q.
- object justR extends UFunc
QR that just returns R.
- object reduced extends UFunc
QR Factorization that returns Q and R with dimensions (m, k), (k, n) where k = min(m, n)