Matrix Vector is an extension of logarithm, a vector represents a set of numbers A matrix is an extension of a vector, and a matrix represents a set of vectors ( 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 ) \begin{pmatrix} 1 & amp; 2 & amp; […]
Tag: diagonal
D347 Weekly replay: remove the trailing zeros in the string + the difference in the number of different values on the diagonal
Article directory removes trailing zeros from a string The difference in the number of different values on the diagonal train of thought another way of writing At present, the level comparison weekly competition can only produce two dishes at most, and I will strive to do more later. Off-topic: Recently, I have a fever, dizziness […]
Tridiagonal Matrix Principle and C++ Implementation
1. Tridiagonal matrix 1. The concept of tridiagonal matrix 2. The number of tridiagonal matrix elements For a given square matrix M of order n, if it is a tridiagonal matrix, the number of elements N is: If n=1, then the square matrix has only one element M[0][0], which is also on the tridiagonal by […]
An implementation of the Householder transformation that is synchronous to the Lapack algorithm to tridiagonalize a symmetric matrix
Householder Transformation: Any U(i) is an n-dimensional real vector (or complex vector), P(i) = I – U(i) * U(i)’ / H(i) Where: Hi = (1/2) * Ui’ * Ui Hi = = H(i) etc.; ———————- Transformation matrix: Q = P(n-3)*P(n-2)*…*P(1)*P(0) T = Q * A * Q’ A = inv(Q) * A * inv(Q’) ______________________________________ […]