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Thomas Remy Cuthbert Jr.

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forbitals:
I want here to add some references which Thomas Remy Cuthbert Jr. does not make:
The Shanmugam book I could not find.  Availability today may be limited:Shanmugam, K. Sam 
Digital and analog communication systems / K. Sam Shanmugam ( 1979 ) but has other books too.

And then Cuthbert deals a lot with filtering and ladder networks:
Lam, Harry Y. F., 1944-
Analog and digital filters : design and realization / Harry Y-F. Lam
Englewood Cliffs, N.J. : Prentice-Hall, c1979

https://www.amazon.com/Analog-Digital-Filters-Realization-Prentice-Hall/dp/0130327557/ref=sr_1_1?crid=3K5PVJRPNN3BX&keywords=Analog+and+digital+filters+%3A+design+and+realization+%2F+Harry+Y-F.+Lam&qid=1646508914&sprefix=analog+and+digital+filters+design+and+realization+%2F+harry+y-f.+lam%2Caps%2C315&sr=8-1

Analog and digital filters : design and realization / Harry Y-F. Lam (1979)
* and available for used purchase

Ralph J. Smithhttps://www.amazon.com/Circuits-Devices-Systems-Electrical-Engineering/dp/0471839442/ref=sr_1_1?s=books&ie=UTF8&qid=1509839447&sr=1-1&keywords=ralph+j.+smith

Charles A. Holt
https://www.amazon.com/Electronic-Circuits-Digital-Charles-Holt/dp/0471023132/ref=sr_1_1?ie=UTF8&qid=1509838390&sr=8-1&keywords=charles+a.+holt+electronics
Good book.  He also has an electromagnetism book

William Hayt, also good
https://www.amazon.com/Engineering-Electromagnetics-CD-McGraw-Hill-Electrical/dp/0073104639/ref=sr_1_3?s=books&ie=UTF8&qid=1509838570&sr=1-3&keywords=john+electromagnetic

Newer one than what Cuthbert references: Ramo, Whinnery, and Van Duzer, this is also very good, 1975

Johnk, Carl T. A. (Carl Theodore Adolf), 1919- 
Engineering electromagnetic fields and waves / [by] Carl T. A. Johnk.
 
Communication systems : an introduction to signals and noise in electrical communication / A. Bruce Carlson  ( 1986, but goes back further and up to 2002 )

Frederick, Dean K., 1934- 
 Title Linear systems in communication and control / Dean K. Frederick and A. Bruce Carlson ( goes back far like 1971 )
 
Oppenheim, Alan V., 1937- 
  Signals and systems / Alan V. Oppenheim, Alan S. Willsky with Ian T. Young
and his other book about Digital Filtering

Lyons, Richard G., 1948- 
 Understanding digital signal processing / Richard G. Lyons.
This is a bit of an overview, lighter on math, kind of book.

Simon Haykin, Active Network Theory, his 5th book.   Read through
chapter 4.  Has formal matrix theory for going from element lists and
then having matrix descriptions to indicate what connects to what.
Extensive formal theory for this!
So in the Haykin book I am ready to start chapter 5.  More 2 port
network properties.  It's going to talk about reciprocity.   Then there
will be a chapter about scattering parameters.

The book does deal with gyrators, negative impedance converters, and
inverse negative impedance converters.  These, along with mutually
coupled inductors are the 4 unusual type of matrix two ports.
Active network theory / [by] S. S. Haykin. (1970)
*
Deals with node and loop equations.  But this book is not really using
standard terminology.   Haykin is at McMaster Univ.

Then also State Variables approach!
Charles A. Holt book, and M. E. Vanvalkenberg

Active and passive analog filter design : an introduction / Lawrence P. Huelsman. (1993)  This guy had written a huge number of books, but Cuthbert does not mention him
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forbitals:
Optimization Using Personal Computers
With Applications to Electrical Networks
John Wily and Sons 1987

Thomas R. Cuthbert Jr., his second book, and he is now

Director, Digital Signal Processing
Collins Transmission System Division
Rockwell International Corporation
Dallas Texas

Thomas Remy Cuthbert, born 1928

Now this book, like his prior, has a really stupid title. But never mind the math in this is really good and I have long wanted to read it.

forbitals:
Optimization Using Personal Computers
With Applications to Electrical Networks
John Wily and Sons 1987

Thomas R. Cuthbert Jr., his second book, and he is now

Director, Digital Signal Processing
Collins Transmission System Division
Rockwell International Corporation
Dallas Texas

Thomas Remy Cuthbert, born 1928

Now this book, like his prior, has a really stupid title. But never mind the math in this is really good and I have long wanted to read it.


Cuthbert has got a card in the book where in 1987 you could send $30 to Wiley and get a 5 1/4 DSDD floppy with all 33 of the BASICA programs, plus some test data.

Lots of references, but different from his other book.


Curtbert gives refences for Problem matrices, not maybe singular, but still problematic, and for other data too.

first of all Knuth 1968, Art of Computer Programming. And matrix types, Vandermonde, Combinatorial, Cauchy, Hilbert

and then Nash 1979 Compact Numerical Methods for Computers: Linear Algebra and Function Administration

matrix types: Hilbert, Ding Dong, Moler, Bordered, Diagonal, Wilkinson W+, Ones

Dongarra, J. J., C B. Moler etal (1979) LINPACK User's Guide, SIAM

Smith (1976) and Garbow (1977) document the EISPACK eigensystem

Hopper (1981) Harwell Subroutine Library. United Kingdom Atomic Energy Authority

Compact numerical methods for computers : linear algebra and function minimisation / J.C. Nash. (1990 2nd edition)
*

So this seems to be a pivotal reference,

Smith, Boyle, Dongarra, Garbow, Ikebe, Kelma etal
Matrix Eigensystem Routines, Springer-Verlag, 1976

Matrix eigensystem routines : EISPACK guide / B. T. Smith [and others] 1976
*

also available is a 1977 extension guide

And Cuthbert's book:

Optimization Using Personal Computers: With Applications to Electrical Networks Hardcover – January 1, 1987
by Thomas R. Cuthbert


Courant, R. (1936) Differential and Integral Calculus, Wiley


Differential and integral calculus / by R. Courant ; translated by E. J. McShane. (1937 2nd edition)
*

And he has other books too.

I like old books like this because I can see how they likely explained things differently.


Continuing with Cuthbert:

Optimization Using Personal Computers
With Applications to Electrical Networks
John Wily and Sons 1987

Cuthbert p14

He sites:

Acton, F. S. (1970) Numerical Methods That Work
Numerical methods that work / Forman S. Acton. (Mathematical Association of America 1990)
* widely disseminated

Cuthbert quotes Acton:

"
minimum-seeking methods are often used when a modicum of thought would disclose more appropriate techniques. They are the first refuge of the computational scoundrel, and one feels at times that the world would be a better place if they were quietly abandoned. ... The unpleasant fact that the approach can well require 10 to 100 times as much computation as methods more specific to the problem is ignored -- for who can tell what is being done by the computer?
"

I have seen this first hand. Curthbert is writing in 1987. A lot of this correlates to the popularity of personal computers and to the rise of some software vendors who's names I will not speak.

They promote idiocy. And wasting computer cycles is not by itself that important. The problem is that the entire approach to the problem at hand is completely wrong headed. And then the simulation program becomes a child's busy box, a video game. And the well paid people who are running this are just glorified script files. The simulation program serves as a division of labor, as there will be one pit boss who gives the orders, and then minions who carry it out. Very very little smarts is being used, and what results is usually completely appropriate, but they will never understand this.

I am embarrassed to admit that I know how many millions of dollars a company can blow through doing this. And I know there are large sectors of industry which are entirely like this.

I have seen things like this in human behavior all along. But this specific kind of stuff pertaining to computer simulations I first learned of reading discussion way way back about the race for the 64k DRAM chips. The US firms lost and Japan won. One analysis explained that in the US modelling and simulations some wrong assumptions had been made. But 95% of those doing the design and simulations were not even aware that there were such assumptions.

These people, they just know that if they continue being good frat boys, then they will continue to get paid and continue to have social approval. This is about all they are good for. They understand things in terms of buzz words, but they don't have an in depth understanding of how the ideas developed, what really is at issue, or of what the limitations are in the analysis. They don't understand the assumptions behind the buzz words.


So continuing on with Thomas Remy Cuthbert jr. 1987

So he gives us a function F in the variables x and y. So he shows a graph of F rising over the x and y plane. There are 4 local maxima and 3 saddle points.

The function he gives us in that that complex, but it seems to be just an example to give us the idea.

So he talks about partial derivates and then he talks about approximating the maxima by a parabola in two variables.

Not sure why you really need to do this here, and he does not go into the math to do this, but he has 33 BASICA programs to do it.

I think if the function F were something for which each point required lengthy simulations, then by using the 2d parabolic approximation you might be able to get a satisfactory result more quickly.

Himmelblau, D. M. (1972) Applied Nonlinear Programming, McGraw Hill



Applied nonlinear programming [by] David M. Himmelblau (1972)
*

Himmelblau has other books oriented towards numerics for Chemical Engineering.

And Nonlinear Programming is the description of all this preferred by Cuthbert.

Gilbert Strang, Linear Algebra 1976, read just a couple of months ago.

And Cuthbert idenfies himself as being with Collins Radio Company, Texas Instruments, and Rockwell International and he signs his preface as being in Plano Texas.

He acknowledges Karl R. Varan. Our local Varian?

Davidson, W. C. (1959) wrote books about this, but not standard publishing.

In 1847 Cauchy described the method of steepest ascent.

Traub, J. F. (1964) Iterative Method for the Solution of Equations
Iterative methods for the solution of equations / [by] J.F. Traub. (1964)
*

and also note:

Information, uncertainty, complexity / J.F. Traub, G.W. Wasilkowski, H. Woźniakowski (1983)
*


Lootsman, F. A. (1972) Numerical Methods for Nonlinear Optimization
Numerical methods for non-linear optimization : Conference sponsored by the Science Research Council, University of Dundee, Scotland, 1971 / Edited by F. A. Lootsma.
* a conference digest

Vlach J. and K. Singhal(1983) Computer Methods for Circuit Analysis and Design
Computer methods for circuit analysis and design / Jiří Vlach, Kishore Singhal (1983)
*

Dixon, L. C. W. (1972) Nonlinear Optimization
0

Practical methods of optimization / R. Fletcher (1980) 2 volumes
*

Selected applications of nonlinear programming / [by] Jerome Bracken and Garth P. McCormick.
Imprint New York : Wiley, [1968]
*

Compact numerical methods for computers : linear algebra and function minimisation / J.C. Nash. (1990 second edition)
*

Methods for solving systems of nonlinear equations / Werner C. Rheinboldt (1998 2nd ed)
*

forbitals:
Thomas Cuthbert's references

Forsythe, G. E. (1970) mention of an article about pitfalls in computation, why a math book is not enough

Maron (1982) Numerical Analysis a Practical Approach
Numerical analysis : a practical approach / Melvin J. Maron, Robert J. Lopez (1991 2nd ed)
* widely distributed

Traub (1964) Iterative Methods for the Solution of Equations
widely distributed

Wilkinson (1963) Rounding Errors in Algebraic Processes
*

article
Kelma V. C., and A. J. Laub (1980) about the singular value decomposition...

Noble B. (1969) Applied Linear Algebra
Applied linear algebra / Ben Noble and James W. Daniel. (1988 3rd edition)
*

Murray (1972)  Numerical Methods for Unconstrained Optimization
Numerical methods for unconstrained optimization / edited by W. Murray (1972)
*  widely disseminated

Nash (1979) Compact Numerical Methods for Computers
Compact numerical methods for computers : linear algebra and function minimisation / J.C. Nash. (1990)
*

Gill, P. E., and Murry and Wright (1981) Practical Optimization
Numerical methods for constrained optimization / edited by P. E. Gill and W. Murray. (1974)
*

Bellman (1960)
Introduction to matrix analysis / Richard Bellman. (SIAM 1997 2nd edition)
*

Jennings (1977) Matrix Computations for Engineers and Scientists
Matrix computation for engineers and scientists / Alan Jennings (1977)
*

Introduction to matrices and linear transformations, by Daniel T. Finkbeiner, II (1966 2nd ed)
*  widely disseminated

McCalla, T. R. (1967) Introduction to Numerical Methods and FORTRAN
0

Computational methods in elementary numerical analysis / J. Ll Morris (1983)
*  widely disseminated

Solving least squares problems / [by] Charles L. Lawson [and] Richard J. Hanson. (1974)
*

A first course in numerical analysis / Anthony Ralston, Philip Rabinowitz (1978 2nd ed)
*

Nonlinear programming : sequential unconstrained minimization techniques / Anthony V. Fiacco, Garth P. McCormick. (SIAM 1990 2nd ed)
*

Matrix computations / Gene H. Golub, Charles F. Van Loan (2013 4th ed)
*

Advanced calculus / Wilfred Kaplan. (1973 2nd ed, has other books too)
*

Nonlinear and dynamic programming / by G. Hadley. (1964)
* widely disseminated

Foundations of optimization [by] Douglass J. Wilde [and] Charles S. Beightler (1967)
*

The art of computer programming / [by] Donald E. Knuth. (1968 3 volumes)
*

Practical methods of optimization / R. Fletcher. (1987 2 volumes)
*

Himmelblau, D. M. , Applied Nonlinear Programming (1972)
Applied nonlinear programming [by] David M. Himmelblau (1972)
*

also note

Numerical linear algebra with applications : using MATLAB / by William Ford. (2015)
0 now

Foundations of optimization / Osman Güler (2010)
*

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