計算電磁學的３維矢量有限元程序
EMAP-3 is a vector (edge element) code. Vector codes are generally not affected by spurious modes and have other inherent advantages. The code is written in the C programming language and can be compiled and run on PCs, workstations, or mainframes.
This function obtains a unitary matrix Q such that: d=diag(Q *diag(lmd)*Q).
In other words, it gives a way to generate a matrix with given eigenvalues and diagonal elements.
By Daniel Perez Palomar (last revision: May 10, 2004).
Feel free to distribute this file as it is (without including any modifications).
1) Write a function reverse(A) which takes a matrix A of arbitrary dimensions as input and returns a matrix B consisting of the columns of A in reverse order. Thus for example, if
A = 1 2 3 then B = 3 2 1
4 5 6 6 5 4
7 8 9 9 8 7
Write a main program to call reverse(A) for the matrix A = magic(5). Print to the screen both A and reverse(A).
2) Write a program which accepts an input k from the keyboard, and which prints out the smallest fibonacci number that is at least as large as k. The program should also print out its position in the fibonacci sequence. Here is a sample of input and output:
Enter k>0: 100
144 is the smallest fibonacci number greater than or equal to 100.
It is the 12th fibonacci number.
LSVMK Langrangian Support Vector Machine algorithm
LSVMK solves a support vector machine problem using an iterative
algorithm inspired by an augmented Lagrangian formulation.
runs Kalman-Bucy filter over observations matrix Z
for 1-step prediction onto matrix X (X can = Z)
with model order p
V = initial covariance of observation sequence noise
returns model parameter estimation sequence A,
sequence of predicted outcomes y_pred
and error matrix Ey (reshaped) for y and Ea for a
along with inovation prob P = P(y_t | D_t-1) = evidence
