Community Profile # Feng Cheng Chang

### Allwave Corporation

Last seen: 2 months ago Active since 2008

Professor, Senior Scientist, Ph. D. in E.E., University of Alabama, IEEE Life member, Retired Professional Interests: mathematics, EM waves, Antennas

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Simplifying the built-in function [q,r]=deconv(b,a)
Create an efficient function [q,r]=deconc_e(b,a) to eliminate the undesired data that resulted from running the existing built-i...

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Function of square matrix: fA=fsm(fx,A)
Given: f(x)= function of x, and A= square matrix. Find: f(A)=function of this matrix A.

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poly_gcd(p,q)
Find polynomial GCD by "Leading-coefficient Elinimation"

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The day of week
The day of week of any given day

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Matrix inverse and determinant
Finding inverse and determinant of matrix by order expansion and condensation

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mtx_d(A,D,d)
Making given matrix altered to have a certain constant for its determinant

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Complex matrix inversion by Real matrix inversion
Calculate the complex matrix inverse by using only real matrix inverse

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Making given matrix singular
Making the given matrix singular by adding a matrix with multiplier.

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inv_det_0(A)
Inverse and determinant of a matrix by order expansion and condensation

Question

Find s, such that det(A+s*D) = d.
Given a non-sigular matrix A, an arbitrary matrix D, and a real or complex number d, I want to see any short-cut to find the num...

7 years ago | 2 answers | 0

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Polynomials with multiple roots solved
Solving multiple roots polynomial, using simple elementary arithematic operations mostly.

Making a magic square matrix singular
Dear Readers: I have already accepted the expected simple answer from Ahmed A Selman, so I would like to conclude this "Quest...

9 years ago | 1

Question

Making a magic square matrix singular
We know that any magic square matrix of odd order is not singular. When each element of the matrix is subtracted by the sum-ave...

9 years ago | 4 answers | 0

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Polynomial division - derived form covolution
Polynomial division is derived directly from convolution.

Question

Output of a vector which excludes the entries of the second vector
Hello, Problem: Given two distinct integer vectors p and q. I'd like to get a new vector r, that is p excluding the entries o...

9 years ago | 2 answers | 0

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Inverse and determinant of square matrix
Inverse and determinant of a square matrix are determined using only simple matrix multiplication

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Polynomial division by convolution -- up to finite terms
Division of two polynomials by convolution to get up to K terms.

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Polynomial division by convolution - quotient and reminder
Division of two polynomials to get quotient and reminder using convolution matrix.

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Solving multiple-root polynomials
Find roots and multiplicities of given polynomials using this short compact routine.

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Multiple-root polynomial solved by partial fraction expansion
To find poles/residues of the rational function, instead of roots/multiplicities of the polynomial

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Polynomial coefficient vector derived from sub-polynomial factors
A polynomial coefficient vector is derived from several powered polynomial factors.

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Factorization of a polynomial with multiple roots
By a novel effective approach "Monic polynomial subtraction" for computing GCD polynomial.

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Exact GCD of integer polynomials
Exact GCD of a pair of polynomials is obtained by "elimination of leading polynomial coefficient"