Eigenvector Estimation : Inverse Power Method

Related BrainMass Solutions

• Matlab : Inverse Operations

  If you replace 4 by, for example, 3, then the convergence is good to the mid-column eigenvector. Inverse operations on a matrix are investigated. The expert finds the inverse power method and shifts the inverse power method.

• Matrices, Eigenvectors, Eigenvalues and Inverses

  To find some conditions to help us find this eigenvector, let's look at the starting eigenvector equation: where is our missing eigenvector.

• How to find generalized eigenvectors

  the diagonalizing matrix is (we already know the eigenvector associated with eigenvalue ): (1.10) Its inverse is: (1.11)   And: (1.12) This is the Jordan canonical representation of A (the eigenvalues are in the diagonal and the off-diagonal

• Eigenvalues : For an n x n matrix A, show that if one or more of the eigenvalues is zero, A has no inverse. Also show that if, A does have an inverse, the eigenvalues of A^-1 are the reciprocals...

  Therefore, A has no inverse. 2. If A has an inverse, say A^(-1), then for any eigenvalue r of A, we can find some eigenvector x with respect to r, such that Ax=rx.

• Diagonalization of Linear Operator

  For the eigenvector have to be solution of the homogeneous system of equations with matrix . Using Gauss method we bring this matrix to the form The solution of the system is . So there is only one linearly independent eigenvector .

• Matrices, Reciprocals and Characteristic Vectors

  We have Ax=bx Since b is not zero and A has an inverse matrix, we have A^(-1)Ax=A^(-1)(bx)=bA^(-1)x So, A^(-1)x=1/b*x So, 1/b is an eigenvalue of A^(-1) and x is the corresponding eigenvector.

• Inverse Power Method and Shifted Inverse Power Method

  128097 Inverse Power Method and Shifted Inverse Power Method I posting few questions from Exercise 9.2. 3/d,c 4/c,d In question 3 and 4 i need to find inverse power method and as well as Shifted Inverse Power Method.

• Fourier series, Fourier Transform and Partial Differential Equation

  Eigenvalue and Eigenvector 14.

• Power Series, Maclaurin Series, Remainder Estimation Theorem and Euler's Formula

  123648 Remainder Estimation Theorem and Euler's Formula 1.) Given that 1-x+x^2+...+(-x)^n is a power series representation for 1/(1+x), find a power series representation for (x^3)/(1+x^2). 2.)