miccoui

2022年4月2日

摘要： Householder transformation Wiki: Householder transformation is a linear transformation that reflect vector \(x\) about a hyperplane to obtain \(x^{\pr 阅读全文

posted @ 2022-04-02 15:44 miccoui 阅读(246) 评论(0) 推荐(0) 编辑

Least Square Solution

摘要： Least Square Solution Please refer to this video for detailed reasoning. When the equation of \(Ax=b\) establishes, it means that vector \(b\) is with 阅读全文

posted @ 2022-04-02 12:08 miccoui 阅读(46) 评论(0) 推荐(0) 编辑

Column space

摘要： Column space Wiki: In linear algebra, the column space of a matrix A=[\(a_1,a_2,\cdots,a_n\)] is the span (all possible linear combinations) of its co 阅读全文

posted @ 2022-04-02 00:33 miccoui 阅读(65) 评论(0) 推荐(0) 编辑

2022年4月1日

QR decomposition

摘要： QR decompostion [Wiki](QR decomposition - Wikipedia): QR decomposition is a composition of a matrix A into the product of an orthogonal matrix Q and a 阅读全文

posted @ 2022-04-01 15:17 miccoui 阅读(68) 评论(0) 推荐(0) 编辑

2022年3月31日

Density Matrix

摘要： Density Matrix Wiki: Density matrix is used to describe the quantum state (pure or miexed state) of a physical system. It allows for calculation of th 阅读全文

posted @ 2022-03-31 17:03 miccoui 阅读(120) 评论(0) 推荐(0) 编辑

2022年3月26日

Spherical harmonics

摘要： Spherical harmonics Wiki: Spherical harmonics forms a complete orthogonal functions with each function defined on the sphere. Reference Video Spherica 阅读全文

posted @ 2022-03-26 20:49 miccoui 阅读(52) 评论(0) 推荐(0) 编辑

Gaussian quadrature

摘要： Gaussian quadrature Wiki: Gaussian quadrature indicates that the integral of a function can be replaced as a weight sum of function values at some poi 阅读全文

posted @ 2022-03-26 18:33 miccoui 阅读(129) 评论(0) 推荐(0) 编辑

Lagrange polynomial

摘要： Lagrange polynomial (All the below are from Wiki.) Wiki: Lagrange polynomials are used for polynomial interpolation of a given set of points \((x_j,y_ 阅读全文

posted @ 2022-03-26 17:20 miccoui 阅读(86) 评论(0) 推荐(0) 编辑

2022年3月21日

Generating Function

摘要： Generating Function Wiki: Generating function utilizes a power series to contain information about a certain sequence. Mathematical manupulation on th 阅读全文

posted @ 2022-03-21 22:58 miccoui 阅读(49) 评论(0) 推荐(0) 编辑

Gram-Schmidt Orthogonalization

摘要： Gram-Schmidt Orthogonalization Wiki: Gram-Schmidt Orthogonalization are utilized to transform a finite number of linear independent vectors belonging 阅读全文

posted @ 2022-03-21 17:55 miccoui 阅读(69) 评论(0) 推荐(0) 编辑

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