Analytic enclosure of the fundamental matrix solution

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Fundamental Solution Matrix of the Navier-Stokes Equations

Abstract. The procedure of solving the system of the Navier-Stokes equations is proposed. The initial conditions: the velocity divergence (dilatation) being zero and the temperature being the known function, the initial density being constant. The problem is set in the infinite space. The solution of the Navier-Stokes equations was reduced to the solution of integral equations of the Volterra t...

متن کامل

Fast Enclosure of Matrix Polynomials

A method for enclosing matrix polynomials is proposed. This method is applicable when the matrix is diagonalizable and supplies an interval matrix including the matrix polynomial. The computational cost of this method does not depend on the degree of the polynomial. Hence the proposed method is faster than previous approaches when the degree is large. Numerical results show the properties of th...

متن کامل

determinant of the hankel matrix with binomial entries

abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.

15 صفحه اول

Global analytic solution of fully-observed variational Bayesian matrix factorization

The variational Bayesian (VB) approximation is known to be a promising approach to Bayesian estimation, when the rigorous calculation of the Bayes posterior is intractable. The VB approximation has been successfully applied to matrix factorization (MF), offering automatic dimensionality selection for principal component analysis. Generally, finding the VB solution is a non-convex problem, and m...

متن کامل

Global Analytic Solution for Variational Bayesian Matrix Factorization

Bayesian methods of matrix factorization (MF) have been actively explored recently as promising alternatives to classical singular value decomposition. In this paper, we show that, despite the fact that the optimization problem is non-convex, the global optimal solution of variational Bayesian (VB) MF can be computed analytically by solving a quartic equation. This is highly advantageous over a...

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

ژورنال

عنوان ژورنال: Applications of Mathematics

سال: 2015

ISSN: 0862-7940,1572-9109

DOI: 10.1007/s10492-015-0114-6