English Dictionary

diagonalize

動詞

他動詞

(mathematics, transitive) To convert a square matrix into a diagonal matrix by multiplying it by a second matrix and its inverse.

日本語の意味

（数学用語）正方行列を、別の行列とその逆行列を用いて、対角行列へ変換する操作を行う。

To simplify computing matrix powers, we diagonalize the matrix by finding a basis of eigenvectors and using a similarity transformation.

行列の累乗を計算しやすくするために、固有ベクトルの基底を見つけて相似変換を用いてその行列を対角化します。

意味（1）

(mathematics, transitive) To convert a square matrix into a diagonal matrix by multiplying it by a second matrix and its inverse.

意味（2）

(cybernetics) To design variables such that design problems only bear upon subsets that are loosely coupled to others.

And what we should do, therefore, is to diagonalize the variables—we should find some new design variables such that design problems only bear upon subsets of them that are loosely coupled to others, like the subsystems of ten lights in the example.

diagonalizes （ present singular third-person ）

diagonalizing （ participle present ）

diagonalized （ participle past ）

diagonalized （ past ）