Covariance factorization via Newton-Raphson iteration

نویسنده

  • Brian D. O. Anderson
چکیده

The solution of an integral equation arising in a covariance factorization problem is obtained by a Newton-Raphson iteration that is almost always globally convergent. Interpretations of the iterates are given, and the result is shown to specialize to known algorithms when the covariance is stationary with a rational Fourier transform.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Stationary discrete-time covariance factorization using Newton-Raphson iteration

The solution to the problem of factorization of the covariance function of a stationary, discrete-time process is obtained by using a Newton-Raphson procedure which converges quadratically in I1 provided the initial iterate is chosen suitably. The existence of a suitable initial iterate is guaranteed by an approximation result. An application to error localization in spectral factorization is s...

متن کامل

Consistent Newton-Raphson vs. fixed-point for variational multiscale formulations for incompressible Navier-Stokes

The following paper compares a consistent Newton-Raphson and fixed-point iteration based solution strategy for a variational multiscale finite element formulation for incompress-ible Navier–Stokes. The main contributions of this work include a consistent linearization of the Navier–Stokes equations, which provides an avenue for advanced algorithms that require origins in a consistent method. We...

متن کامل

Decentralized Relative Attitude Estimation for Three-Spacecraft Formation Flying Applications

This paper investigates the problem of relative spacecraft attitude estimation between three vehicles from a decentralized point of view. Decentralized attitude estimation is achieved through the use of local extended Kalman filters and a data fusion process known as the Covariance Intersection algorithm. Because the global attitude parameterization is the quaternion, the Covariance Intersectio...

متن کامل

Historical Development of the Newton-Raphson Method

This expository paper traces the development of the Newton-Raphson method for solving nonlinear algebraic equations through the extant notes, letters, and publications of Isaac Newton, Joseph Raphson, and Thomas Simpson. It is shown how Newton's formulation differed from the iterative process of Raphson, and that Simpson was the first o give a general formulation, interms of fluxional calculus,...

متن کامل

Nonnegative Matrix Factorization via Newton Iteration for Shared-memory Systems∗

Nonnegative Matrix Factorization (NMF) can be used to approximate a large nonnegative matrix as a product of two smaller nonnegative matrices. This paper shows in detail how an NMF algorithm based on Newton iteration can be derived utilizing the general Karush-KuhnTucker (KKT) conditions for first-order optimality. This algorithm is suited for parallel execution on shared-memory systems. It was...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • IEEE Trans. Information Theory

دوره 24  شماره 

صفحات  -

تاریخ انتشار 1978