Matrix-Bound Enzymes. Part II: Studies on a Matrix-Bound Two-Enzyme-System.

A Matrix Lower Bound

A matrix lower bound is defined that generalizes ideas apparently due to S. Banach and J. von Neumann. The matrix lower bound has a natural interpretation in functional analysis, and it satisfies many of the properties that von Neumann stated for it in a restricted case. Applications for the matrix lower bound are demonstrated in several areas. In linear algebra, the matrix lower bound of a ful...

On the Bound States of Matrix Strings

We investigate excitations in Matrix Theory on T 2 corresponding to bound states of strings. We demonstrate the Dirichlet aspect of R-R charged vacua through a non-trivial connection between the U(1) and SU(n) sectors of the matrix SYM.

A Computable Error Bound for Matrix Functionals

Many problems in applied mathematics require the evaluation of matrix functionals of the form F(A) := u T f(A)u, where A is a large symmetric matrix and u is a vector. Golub and collaborators have described how approximations of such functionals can be computed inexpensively by using the Lanczos algorithm. The present note shows that error bounds for these approximations can be computed essenti...

A Lower Bound for Matrix Multiplication

We prove that computing the product of two 11 X 11 matrices over the binary field requires at least 2.5 11:1 0 (11:1) multiplications.

THE TWO-BODY t-MATRIX FOR A FREE-BOUND SYSTEM PART I. APPLICATION TO NUCLEAR CHARGE EXCHANGE