We propose a generalized CUR (GCUR) decomposition for matrix pairs $(A, B)$. Given matrices $A$ and $B$ with the same number of columns, such provides low-rank approximations both simultaneously, in terms some their rows columns. obtain indices selecting subset columns original using discrete empirical interpolation method (DEIM) on singular vectors. When is square nonsingular, there are close ...

One of the popular test matrices for eigenvalue routines is Frank matrix due to its well-conditioned and poorly conditioned eigenvalues. All eigenvalues are real, positive different. Sturm Theorem a very useful tool computing tridiagonal symmetric matrices. In this paper, we apply generalized which special form Hessenberg examine by using property. Moreover, illustrate our results with an examp...

To think quantitatively about comovement, we specify the model of Section I. We use a CES production function for one final good. 42 Thus, we can solve the structure of this economy in closed form, and quantify its comovement. Our model differs in a series of small ways from 43 Its main virtue is that it is solvable in closed form, so that the mechanisms are fairly transparent.

Cost function and factor demand estimation and measurement are among the most useful tools in economic analysis. This paper defines cost function flexibility in a new way that extends results and concepts from consumer demand theory to models of joint production. This applies to production models where input demand equations can be represented in terms of input prices, quasi-fixed inputs, and c...