Applications of Cholesky Decomposition

Which of the following is an application of Cholesky decomposition?

• Solve SLAE

• Solve PDE

• Numerical Integration

• Fourier Transform

Cholesky decomposition can be used for which of the following methods?

• Monte Carlo methods for random sampling

• Finite Element Analysis

• Laplace Transform

• Runge-Kutta methods

Which of the following is NOT an application of Cholesky decomposition?

• Approximation by Least Squares

• Solve ODE

• Monte Carlo methods for random sampling

• Solve PDE

In the Cholesky decomposition, what type of matrix is B?

• Upper triangular matrix

• Lower triangular matrix

• Diagonal matrix

• Identity matrix

What is the form of matrix C in the Cholesky decomposition?

• Upper triangular matrix with unit diagonal

• Lower triangular matrix with unit diagonal

• Diagonal matrix

• Identity matrix

What is the form of matrix B in the Cholesky decomposition?

• Upper triangular matrix with unit diagonal

• Lower triangular matrix

• Diagonal matrix

• Identity matrix

Which system of equations is used to compute the desired vector x in Cholesky decomposition?

• By = b, Cx = y

• Ax = b, Bx = y

• Cy = b, Bx = y

• By = y, Cx = b

In Cholesky decomposition, how are the matrices B and C characterized?

• Diagonal

• Symmetric

• Triangular

• Orthogonal