Poptool : Matrix tools

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Title : Matrix tools

Poptool : Matrix Tools

遷移行列

項目	説明	Update
Draw life cycle	推移行列を含むライフサイクルのダイアグラムを構成する。	2003/12/19

人口分析のための行列計算

項目	説明	Update
Basic analysis	Produces several array formulas that together summarise the main properties of a deterministic projection matrix, including the stable age distribution, reproductive values, rate of increase and generation time	yyyy/mm/dd
Finite rate of increase	Enters formula for the dominant eigenvalue of a population projection matrix.	yyyy/mm/dd
Age distribution	Enters an array formula for the right eigenvector associated to the dominant eigenvalue of a population projection matrix.	yyyy/mm/dd
Reproductive values	Enters an array formula for the left eigenvector associated to the dominant eigenvalue of a population projection matrix.	yyyy/mm/dd

生命表

項目	説明	Update
Life table to matrix	Creates pre- or post-breeding projection matrix using the lx and mx values of a life table	yyyy/mm/dd
Life table statistics	Calulates lambda, rate of increase, Ro, and generation time using the lx and mx values of a life table	yyyy/mm/dd

行列の感度・弾力性

項目	説明	Update
Matrix sensitivity	Enters an array formula for the sensitivity of the dominant eigenvalue of a population projection matrix to small changes in the elements of the matrix.	yyyy/mm/dd
Matrix elasticity	Enters an array formula for the elasticity (proportional sensitivity) of the dominant eigenvalue of a population projection matrix to small changes in the elements of the matrix.	yyyy/mm/dd

行列のベクトル化・推移行列

項目	説明	Update
Matrix to row vector	行列を行ベクトルに変換	2004/01/20
Matrix to column vector	行列を列ベクトルに変換	2004/01/20d
Matrix projection	Iterates a population projection matrix for a certain number of steps. Similar to Numerical projection but requires a fixed projection matrix and a state vector as input.	yyyy/mm/dd

行列の固有値・分解

項目	説明	Update
Eigenanalysis	Enters an array formula for the eigenvalues (real and imaginary parts) and associated eigenvectors of a square matrix.	yyyy/mm/dd
LU decomposition	Enters an array formula that returns the lower/upper decomposition of a square matrix.	yyyy/mm/dd
Cholesky decomposition	Enters an array formula that returns the Cholesky decomposition of a positive definite matrix.	yyyy/mm/dd
QR decomposition	Enters an array formula that returns the returns the QR decomposition of a matrix with rows >= columns.	yyyy/mm/dd
Singular value decomposition	Enters an array formula that returns the singular value decomposition of a matrix.	yyyy/mm/dd

Updated : 2004/01/20