scalation.linalgebra

Eigen_2by2

object Eigen_2by2 extends Error

The Eigen_2by2 object provides simple methods for computing eigenvalues and eigenvectors for 2-by-2 matrices.

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  1. final def !=(arg0: Any): Boolean

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  2. final def ##(): Int

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  3. final def ==(arg0: Any): Boolean

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  5. def clone(): AnyRef

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  6. def eigenvalues(a: MatrixD): VectorD

    Compute the eigenvalues for the 2-by-2 matrix 'a' by finding the roots of the characteristic polynomial:

    Compute the eigenvalues for the 2-by-2 matrix 'a' by finding the roots of the characteristic polynomial:

    (a00 - l) * (a11 - l) - a01 * a10 = 0

    where l is an eigenvalue (2 possible solutions).

    a

    the 2-by-2 matrix whose eigenvalues are sought

  7. def eigenvectors(a: MatrixD, l: VectorD): MatrixD

    Compute the eigenvectors for the the 2-by-2 matrix 'a'.

    Compute the eigenvectors for the the 2-by-2 matrix 'a'.

    a

    the 2-by-2 matrix whose eigenvectors are sought

    l

    the eigenvalues

  8. final def eq(arg0: AnyRef): Boolean

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  9. def equals(arg0: Any): Boolean

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  10. def finalize(): Unit

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  11. def flaw(method: String, message: String): Unit

    Show the flaw by printing the error message.

    Show the flaw by printing the error message.

    method

    the method where the error occurred

    message

    the error message

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  12. final def getClass(): Class[_]

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  13. def hashCode(): Int

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  14. final def isInstanceOf[T0]: Boolean

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  15. final def ne(arg0: AnyRef): Boolean

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  16. final def notify(): Unit

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  17. final def notifyAll(): Unit

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

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  19. def toString(): String

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  20. final def wait(): Unit

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

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  22. final def wait(arg0: Long): Unit

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