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Hermitian matrix - PowerPoint PPT Presentation

Spectrum of A

Spectrum of A

Spectrum of A. ?(A)=the spectrum of A =the set of all eigenvalues of A. Proposition. Similarity matrix. If ,then we say that A is transformed to B under similarity via similarity matrix P. Exercise 1.2.4. If are similar over C,

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705 views • 70 slides
ENGG2012B Lecture 12 Complex vectors and complex matrices

ENGG2012B Lecture 12 Complex vectors and complex matrices

ENGG2012B Lecture 12 Complex vectors and complex matrices. Kenneth Shum. Last lecture. Given a square matrix A , a non-zero vector v is called an eigenvector of A , if we can find a real number ?, such that .

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1.62k views • 43 slides
ENGG2013 Unit 20 Extensions to Complex numbers

ENGG2013 Unit 20 Extensions to Complex numbers

ENGG2013 Unit 20 Extensions to Complex numbers. Mar, 2011. Definition: Norm of a vector. By Pythagoras theorem, the length of a vector with two components [a b] is The length of a vector with three components [a b c] is The length of a vector with n components,

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352 views • 34 slides
VICIOUS WALK and RANDOM MATRICES

VICIOUS WALK and RANDOM MATRICES

VICIOUS WALK and RANDOM MATRICES. Makoto KATORI (Chuo University, Tokyo, Japan) Joint Work with Hideki Tanemura (Chiba University) and Taro Nagao (Nagoya University). Nonequilibrium Statistical Physics of Complex Systems Satellite Meeting of STATPHYS 22 in Seoul, Korea,

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488 views • 28 slides
Computational Physics (Lecture 7)

Computational Physics (Lecture 7)

Computational Physics (Lecture 7). PHY4370. Eigen Value Problems. Very Important in physics. Ax = ? x ? is the eigenvalue corresponding to eigenvector x of the matrix A, determined from the secular equation | A - ? I |=0 I is a unit matrix.

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467 views • 28 slides
Checking the Consistency of Local Density Matrices

Checking the Consistency of Local Density Matrices

Checking the Consistency of Local Density Matrices. Yi-Kai Liu Computer Science and Engineering University of California, San Diego y9liu@cs.ucsd.edu. The Consistency Problem. Consider an n-qubit system

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Row and column matrices are sometimes called row vectors and column vectors

Row and column matrices are sometimes called row vectors and column vectors

Various Types of Matrices. Row and Column Matrices:. A matrix having a single row is called a row matrix . e.g., [ 1 2 3 4 ]. A matrix having single column is called a column. Row and column matrices are sometimes called row vectors and column vectors.

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800 views • 14 slides
Vector Norms and the related Matrix Norms

Vector Norms and the related Matrix Norms

Vector Norms and the related Matrix Norms. Properties of a Vector Norm: Euclidean Vector Norm: Riemannian metric:. If is a regular vector-norm on the n-dimemsional vector space, and if A is an matrix, we define the related matrix-norm as

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381 views • 13 slides
Simultaneous Diagonalization of 2 Hermitian Matrix

Simultaneous Diagonalization of 2 Hermitian Matrix

Simultaneous Diagonalization of 2 Hermitian Matrix.

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208 views • 4 slides

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