• 标准采用方法,而二次型化标准形等价矩阵合同对角化,文中利用初等矩阵和初等变换之间的关系。

    Method of completing square is often used when transforming a quadratic form into a normal one, whose process is equivalent to making the relevant matrix contract diagonal.

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  • 利用有限域上一般线性群BN对分解,给出有限域的可逆矩阵在置换相似变换标准

    We got the standard form of nonsingular matrix over the finite field by means of BN pair decomposition under the similarity transformation of the permutation matrix.

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  • 探讨矩阵标准高等代数理论中的若干应用

    This paper probes into some applications of the matrix normal form to advanced algebra theory.

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  • 本文讨论赋值对称线性型、次型对称矩阵合同标准

    In this paper we will discuss symmetric bilinear forms and quadratic forms over valuation rings, and establish the congruent standard forms of symmetric matrices over valuation rings.

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  • 借助矩阵合同变换,给出次型标准方法、求标准正交基的方法,并给出了正定二次型判定定理的新证明。

    By means of congruent transformation in matrix, the method of transforming real quadratic form into standard form and the method of normal orthogonal basis are given in this paper.

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  • 通过实例探讨了对称矩阵正交相似变换标准矩阵问题中的应用

    Application of standard form of real symmetric matrix under the orthogonal similarity transformation in matrix problems is given by examples.

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  • 本文提出能控标准观测标准形转移矩阵求法并且给出了数学证明

    This paper puts forward a new method of transition matrix for the controllable canonical form and the observable canonical form, and gives a proof in mathematics.

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  • 给出正交矩阵相似标准正交矩阵的分解

    This paper describes the orthogonal matrix canonical forms for matrices and the orthogonal matrix decomposition form.

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  • 给出了次半正定矩阵递归判别,讨论次半正定矩阵的次合同标准

    Meanwhile the paper set up a new method to gain the standard form of a real symmetry matrix.

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  • 对若当标准使用可逆矩阵计算加以简化,并借助若当标准形给出线性推关系式求解一般方法。

    By using Frobenius matrix, this paper presents the common solution in another form to linear recurrence formula with constant coefficients.

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  • 对若当标准使用可逆矩阵计算加以简化,并借助若当标准形给出线性推关系式求解一般方法。

    By using Frobenius matrix, this paper presents the common solution in another form to linear recurrence formula with constant coefficients.

    youdao

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