LSQRSolver

A solver for inverting linear problems of the form A.x = b using the LSQR method outlined in:

C. C. Paige and M. A. Saunders, Algorithm 583; LSQR: Sparse linear equations and least-squares problems, TOMS 8(2), 195-209 (1982).

LSQR uses a functional representation of applying the A matrix, op(), in order to optimally perform sparse operations. The algorithm also requires explicit definition of the operator that is adjoint to op(), adj(). operator/adjoint pairs can be debugged with an AdjointTester

b and x0 can be Fields or FieldArrays of any type structure, under the following conditions: 1) op(x0) returns a type structure equivalent to b 2) adj(b) returns a type structure equivalent to x0

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final def ##(): Int

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final def ==(arg0: Any): Boolean

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def apply(b: FieldArray, op: (FieldArray) ⇒ FieldArray, adj: (FieldArray) ⇒ FieldArray, x0: FieldArray, iterations: Int): FieldArray

Apply a set of LSQR iterations
Apply a set of LSQR iterations
b
the result of the linear operation to be inverted
op
the linear operator A in A.x=b
adj
the operator that is adjoint to A
x0
the initial guess of the solution
iterations
number of iterations to perform
final def asInstanceOf[T0]: T0

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final def eq(arg0: AnyRef): Boolean

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def equals(arg0: Any): Boolean

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def finalize(): Unit

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@throws( classOf[java.lang.Throwable] )
final def getClass(): Class[_]

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def hashCode(): Int

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final def isInstanceOf[T0]: Boolean

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final def ne(arg0: AnyRef): Boolean

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final def notify(): Unit

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final def notifyAll(): Unit

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final def synchronized[T0](arg0: ⇒ T0): T0

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def toString(): String

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final def wait(): Unit

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Related Doc: package solvers

object LSQRSolver

Value Members

final def !=(arg0: Any): Boolean

final def ##(): Int

final def ==(arg0: Any): Boolean

def apply(b: FieldArray, op: (FieldArray) ⇒ FieldArray, adj: (FieldArray) ⇒ FieldArray, x0: FieldArray, iterations: Int): FieldArray

final def asInstanceOf[T0]: T0

def clone(): AnyRef

final def eq(arg0: AnyRef): Boolean

def equals(arg0: Any): Boolean

def finalize(): Unit

final def getClass(): Class[_]

def hashCode(): Int

final def isInstanceOf[T0]: Boolean

final def ne(arg0: AnyRef): Boolean

final def notify(): Unit

final def notifyAll(): Unit

final def synchronized[T0](arg0: ⇒ T0): T0

def toString(): String

final def wait(): Unit

final def wait(arg0: Long, arg1: Int): Unit

final def wait(arg0: Long): Unit

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