Group-theoretic algorithms for matrix multiplication
... and Winograd’s paper [3]. In fact, the reader familiar with Strassen’s 1987 paper [10] and Coppersmith and Winograd’s paper [3] (or the presentation of this material in, for example, [1]) will recognize that our exponent bounds of 2.48 and 2.41 match bounds derived in those works. It turns out that ...
... and Winograd’s paper [3]. In fact, the reader familiar with Strassen’s 1987 paper [10] and Coppersmith and Winograd’s paper [3] (or the presentation of this material in, for example, [1]) will recognize that our exponent bounds of 2.48 and 2.41 match bounds derived in those works. It turns out that ...
Toeplitz Transforms of Fibonacci Sequences
... In terms of the polynomials pn (s), a sufficient condition for τ to be kinjective at s is that pn (s) be eventually a perfect square, i.e. that eventually, sn−1 be a double root of pn (s). This is exactly what happens when s is either the Fibonacci element of R(a, b), or s is a geometric element of ...
... In terms of the polynomials pn (s), a sufficient condition for τ to be kinjective at s is that pn (s) be eventually a perfect square, i.e. that eventually, sn−1 be a double root of pn (s). This is exactly what happens when s is either the Fibonacci element of R(a, b), or s is a geometric element of ...
A KRYLOV METHOD FOR THE DELAY EIGENVALUE PROBLEM 1
... We will call the problem of finding λ ∈ C such that (1.2) holds, the delay eigenvalue problem and the solutions λ ∈ C are called the characteristic roots or the eigenvalues of the DDE (1.1). The eigenvalues of (1.1) play the same important role for DDEs as eigenvalues play for matrices and ordinary ...
... We will call the problem of finding λ ∈ C such that (1.2) holds, the delay eigenvalue problem and the solutions λ ∈ C are called the characteristic roots or the eigenvalues of the DDE (1.1). The eigenvalues of (1.1) play the same important role for DDEs as eigenvalues play for matrices and ordinary ...
Notes on Blackwell`s Comparison of Experiments Tilman Börgers
... diagonal elements of QD constitute the risks in each state. The condition says that the same risks could be obtained by garbling the experiment Q using the matrix M , and then choosing actions D. The second condition is at first sight weaker than condition 1 for two reasons. Firstly, condition 2 al ...
... diagonal elements of QD constitute the risks in each state. The condition says that the same risks could be obtained by garbling the experiment Q using the matrix M , and then choosing actions D. The second condition is at first sight weaker than condition 1 for two reasons. Firstly, condition 2 al ...
MIDTERM REVIEW AND SAMPLE EXAM
... Theorem 1.23 (Linearization). Consider the autonomous first-order system y 0 = f (y). If fi , i = 1, ..., n, are continuous and have continuous partial derivatives in a neighborhood of the critical point, yc , and det A 6= 0, then the kind and stability of the critical points of the nonlinear system ...
... Theorem 1.23 (Linearization). Consider the autonomous first-order system y 0 = f (y). If fi , i = 1, ..., n, are continuous and have continuous partial derivatives in a neighborhood of the critical point, yc , and det A 6= 0, then the kind and stability of the critical points of the nonlinear system ...
