Hermitian matrix inverse

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Hermitian matrix inverse

,The LDL Inverse block computes the inverse of the Hermitian positive definite input matrix S by performing an LDL factorization. ,In mathematics, the conjugate transpose or Hermitian transpose of an m-by-n matrix A -displaystyle -boldsymbol A}}} -boldsymbol A}} with complex entries is ... ,In mathematics, a Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is ... The inverse of an invertible Hermitian matrix is Hermitian as well. ,Let a matrix A be Hermitian and invertible with B as the inverse. Then A^*=A and AB=I. Hence taking conjugate transpose on both sides B^*A^*=B^*A=I. ,We consider the factorization of Hermitian quadratic matrix polynomials with nonsingular leading coefficient, with special emphasis on the case of real symmetric ... , The comments on my question helped me make the necessary logical jump to solve this problem. First, it is important to realize that if A=UDU†, ...,Normal, Hermitian, and unitary matrices. ... Hermitian matrix. A square ... is a unitary matrix if its conjugate transpose is equal to its inverse $-bf A}^*=-bf A}^ ... ,Rank, Trace, Determinant, Transpose, and Inverse of Matrices. ... The inverse of an invertible Hermitian matrix is also Hermitian, i.e., if $-bf A}^*=-bf A}$ ... ,matrix whose conjugate transpose is its negative (additive inverse). For matrices with antisymmetry over the real number field, see Skew-symmetric matrix. In linear algebra, a square matrix with complex entries is said to be skew-Hermitian or ...

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Hermitian matrix inverse 相關參考資料
Complex Hermitian Matrices - Occidental College

https://sites.oxy.edu

Compute inverse of Hermitian positive definite matrix using ...

The LDL Inverse block computes the inverse of the Hermitian positive definite input matrix S by performing an LDL factorization.

https://de.mathworks.com

Conjugate transpose - Wikipedia

In mathematics, the conjugate transpose or Hermitian transpose of an m-by-n matrix A -displaystyle -boldsymbol A}}} -boldsymbol A}} with complex entries is ...

https://en.wikipedia.org

Hermitian matrix - Wikipedia

In mathematics, a Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is ... The inverse of an invertible Hermitian matrix is Hermitian as well.

https://en.wikipedia.org

How to show that the inverse of a Hermitian matrix is itself ...

Let a matrix A be Hermitian and invertible with B as the inverse. Then A^*=A and AB=I. Hence taking conjugate transpose on both sides B^*A^*=B^*A=I.

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Inverse problems for Hermitian quadratic matrix polynomials ...

We consider the factorization of Hermitian quadratic matrix polynomials with nonsingular leading coefficient, with special emphasis on the case of real symmetric ...

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Matrix elements of an inverse Hermitian matrix - Mathematics ...

The comments on my question helped me make the necessary logical jump to solve this problem. First, it is important to realize that if A=UDU†, ...

https://math.stackexchange.com

Normal, Hermitian, and unitary matrices

Normal, Hermitian, and unitary matrices. ... Hermitian matrix. A square ... is a unitary matrix if its conjugate transpose is equal to its inverse $-bf A}^*=-bf A}^ ...

http://fourier.eng.hmc.edu

Rank, Trace, Determinant, Transpose, and Inverse of Matrices

Rank, Trace, Determinant, Transpose, and Inverse of Matrices. ... The inverse of an invertible Hermitian matrix is also Hermitian, i.e., if $-bf A}^*=-bf A}$ ...

http://fourier.eng.hmc.edu

Skew-Hermitian matrix - Wikipedia

matrix whose conjugate transpose is its negative (additive inverse). For matrices with antisymmetry over the real number field, see Skew-symmetric matrix. In linear algebra, a square matrix with compl...

https://en.wikipedia.org