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Disclaimer: All software should be regarded as in development and is made available on an as-is basis, without any warranty of any kind.

Software Packages - Partial List

paper.pdf

A simple three-term conjugate gradient algorithm for unconstrained optimization.
Journal of Computational and Applied Mathematics, vol. 241 (2013), pp. 19-29.

testuo.pdf

Unconstrained Optimization Test Functions. Algebraic expression.

funcname.txt

Name of test functions.

threecg.for

THREECG package - three-term conjugate gradient algorithm with guaranteed descent and conjugacy conditions.
Main program and subroutines.

 

 

threea1.for

THREECG for Elastic-Plastic Torsion problem from MINPACK2 collection.

 

 

threea2.for

THREECG for Pressure Distribution in a Journal Bearing problem from MINPACK2 collection.

 

 

threea3.for

THREECG for Optimal Design with Composite Materials problem from MINPACK2 collection.

 

 

threea5.for

THREECG for Steady-State Combustion problem from MINPACK2 collection.

 

 

threea7.for

THREECG for Minimal Surfaces with Enneper Conditions problem from MINPACK2 collection.

 

 

paper.pdf

Another Conjugate Gradient Algorithm with Guaranteed Descent and Conjugacy Conditions for Large-scale Unconstrained Optimization
Journal of Optimization Theory and Applications. February 2013. DOI 10.1007/s10957-013-0285-9

testuo.pdf

Unconstrained Optimization Test Functions. Algebraic expression.

funcname.txt

Name of test functions.

descon.for

DESCON package - conjugate gradient algorithm with guaranteed DEScent and CONjugacy conditions.
Main program and subroutines.
The algebraic expression of test functions is presented in testuo.pdf file.

descon.out

Performances of DESCON for solving a train of 80 unconstrained optimization test functions.

descon1.for

DESCON for Elastic-Plastic Torsion problem from MINPACK2 collection.

 

 

descon2.for

DESCON for Pressure Distribution in a Journal Bearing problem from MINPACK2 collection.

 

 

descon3.for

DESCON for Optimal Design with Composite Materials problem from MINPACK2 collection.

 

 

descon5.for

DESCON for Steady-State Combustion problem from MINPACK2 collection.

 

 

descon7.for

DESCON for Minimal Surfaces with Enneper Conditions problem from MINPACK2 collection.

 

 

paper.pdf

A numerical study on efficiency and robustness of some conjugate gradient algorithms for large-scale unconstrained optimization.
DESCON versus: AHYBRIDM, ASCALCG, CG-DESCENT, CONMIN, HS, PRP and THREECG conjugate gradient algorithms.
June 6, 2013

 

 

testuo.pdf

Unconstrained Optimization Test Functions. Algebraic expression.

funcname.txt

Name of test functions.

ascalcg.for

ASCALCG package - Accelerated Scaled Conjugate Gradient Algorithm. Main program and subroutines.

scwrev2.pdf

Scaled Conjugate Gradient Algorithm for Unconstrained Optimization (full paper).

 

 

testuo.pdf

Unconstrained Optimization Test Functions. Algebraic expression.

funcname.txt

Name of test functions.

ahybridm.for

AHYBRIDM package - Accelerated Hybrid Conjugate Gradient algorithm with Modified Secant Condition. Main program and subroutines.

n14a09.pdf

Accelerated hybrid conjugate gradient algorithm with modified secant condition for unconstrained optimization (full paper).
Numerical Algorithms, May 2010, Volume 54, Issue 1, pp 23-46.

 

 

testuo.pdf

Unconstrained Optimization Test Functions. Algebraic expression.

funcname.txt

Name of test functions.

conmin.for

CONMIN package - Shanno conjugate gradient with Beale restart memoryless variable metric algorithm for Unconstrained Optimization. Main program and subroutines.

 

 

testuo.pdf

Unconstrained Optimization Test Functions. (old version)

func.for

Fortran expression of test functions. (old version)

asa.for

Fortran code with Anticipative and a variant of Barzilai-Borwein algorithms.

paper.pdf

A new gradient descent method with an anticipative scalar approximation of Hessian for unconstrained
optimization (full paper).

asa.pdf

Numerical experiments with a gradient descent method using an anticipative scalar approximation of
Hessian for unconstrained optimization.

bb.pdf

Numerical experiments with a variant of Barzilai-Borwein method for unconstrained optimization.

asabb.pdf

Performance profiles: Anticipative algorithm versus Barzilai-Borwein algorithm, 310 problems.

 

 

testuo.pdf

Unconstrained Optimization Test Functions. (old version)

func.for

Fortran expression of test functions. (old version)

relax.pdf

Relaxed Gradient Descent Method with Backtracking for Unconstrained Optimization (full paper).

relaxed.pdf

Numerical experiments with Relaxed Gradient Descent Algorithm. 430 problems.

grad.pdf

Numerical experiments with Gradient Descent Algorithm. 360 problems.

 

 


Hooke-Jeeves, Powell, Rosenbrock, Nelder-Mead

in conjunction with unidimensional methods:

Fibonacci, Golden section, Powell's quadratic interpolation, dichotomous search.

uno.for

UNO package for Unconstrained Optimization using direct search. (Fortran 77)

unoint.for

Interactive version of UNO package for Unconstrained Optimization using direct search. (Fortran 77)

nelmed.for

Nelder-Mead method for Unconstrained Optimization using direct search.

hookj.for

Hook-Jeeves method for Unconstrained Optimization using direct search.

rose.for

Rosenbrock method for Unconstrained Optimization using direct search.

powel.for

Powell method for Unconstrained Optimization using direct search.

l1.for

Golden section with interval searching.

l2.for

Fibonacci searching technique.

l3.for

Quadratic interpolation of Powell technique.

l4.for

Dichotomous search technique.

spenbar.for

SPENBAR package for Constrained Optimization using a Sparse Modified Penalty-Barrier method. (Fortran 77)

opis.doc

SPENPROB COLLECTION - Constrained Optimization Problems solved with SPENBAR Package

alkil.for

Problem 114, Page 123. Alkylation Problem. W. Hock and K. Schittkowski, Test Examples for Nonlinear Programming. Springer-Verlag, 1981. Lecture Notes in Economics and Mathematical Systems, vol. 187. (Fortran 77)

ampn8.for

Problem N8, pp.800. Neculai Andrei, Advanced Mathematical Programming. Theory, Computational Methods, Applications.Technical Press, Bucharest, 1999. (Fortran 77)

bb1.for

Problem 1, "Mexican Hat". Brown - Bartholomew-Biggs, ODE vs SQP methods for constrained optimisation, Technical Report No.179, June 1987. The Hatfield Polytechnic, UK. (Fortran 77)

bb2.for

Problem 2. Brown - Bartholomew-Biggs, ODE vs SQP methods for constrained optimisation, Technical Report No.179, June 1987. The Hatfield Polytechnic, UK. (Fortran 77)

bb3.for

Problem 3. Brown - Bartholomew-Biggs, ODE vs SQP methods for constrained optimisation, Technical Report No.179, June 1987. The Hatfield Polytechnic, UK. (Fortran 77)

bb4.for

Problem 4. Brown - Bartholomew-Biggs, ODE vs SQP methods for constrained optimisation, Technical Report No.179, June 1987. The Hatfield Polytechnic, UK. (Fortran 77)

bb5.for

Problem 5. Brown - Bartholomew-Biggs, ODE vs SQP methods for constrained optimisation, Technical Report No.179, June 1987. The Hatfield Polytechnic, UK. (Fortran 77)

bb6.for

Problem 6. Brown - Bartholomew-Biggs, ODE vs SQP methods for constrained optimisation, Technical Report No.179, June 1987. The Hatfield Polytechnic, UK. (Fortran 77)

bb7.for

Problem 7. Brown - Bartholomew-Biggs, ODE vs SQP methods for constrained optimisation, Technical Report No.179, June 1987. The Hatfield Polytechnic, UK. (Fortran 77)

bb8.for

Problem 8. Brown - Bartholomew-Biggs, ODE vs SQP methods for constrained optimisation, Technical Report No.179, June 1987. The Hatfield Polytechnic, UK. (Fortran 77)

bb9.for

Problem 9. Brown - Bartholomew-Biggs, ODE vs SQP methods for constrained optimisation, Technical Report No.179, June 1987. The Hatfield Polytechnic, UK. (Fortran 77)

bb10.for

Problem 10. Brown - Bartholomew-Biggs, ODE vs SQP methods for constrained optimisation, Technical Report No.179, June 1987. The Hatfield Polytechnic, UK. (Fortran 77)

bb11.for

Problem 11."Witch of Agnesi". Brown - Bartholomew-Biggs, ODE vs SQP methods for constrained optimisation, Technical Report No.179, June 1987. The Hatfield Polytechnic, UK. (Fortran 77)

bb12.for

Problem 12. Brown - Bartholomew-Biggs, ODE vs SQP methods for constrained optimisation, Technical Report No.179, June 1987. The Hatfield Polytechnic, UK. (Fortran 77)

bb13.for

Problem 13."Four-Leaved Rose". Brown - Bartholomew-Biggs, ODE vs SQP methods for constrained optimisation, Technical Report No.179, June 1987. The Hatfield Polytechnic, UK. (Fortran 77)

bb14.for

Problem 14. Brown - Bartholomew-Biggs, ODE vs SQP methods for constrained optimisation, Technical Report No.179, June 1987. The Hatfield Polytechnic, UK. (Fortran 77)

bb16.for

Problem 16. Brown - Bartholomew-Biggs, ODE vs SQP methods for constrained optimisation, Technical Report No.179, June 1987. The Hatfield Polytechnic, UK. (Fortran 77)

bbz65.for

A. Ben-Israel, A. Ben-Tal, S. Zlobec, Optimality in nonlinear programming: A feasible directions approach. John Wiley & Sons, New York, 1981. Example from pp.68 (paragraph 6.5) (Fortran 77)

bbz72.for

A. Ben-Israel, A. Ben-Tal, S. Zlobec, Optimality in nonlinear programming: A feasible directions approach. John Wiley & Sons, New York, 1981. Example from pp.75 (paragraph 7.2) (Fortran 77)

cam.for

Shape optimization of a cam. M. Anitescu, R. Serban, A sparse superlinearly convergent SQP with applications to two-dimensional shape optimization. Preprint ANL/MCS-P706-0198, Argonne National Laboratory, Argonne, Illinoiss, 1998.
Please see: A.S. Bondarenko, D.M., Bortz and J.J., More, COPS: Large scale nonlinearly constrained optimization problems, Preprint ANL/MCS-TM-237, Argonne National Laboratory, September 1998, (October 1999 revision) pp.12-14. (Fortran 77)

ceq3.for

Hiebert's 3rd Chemical Equilibrium Problem. Mordechai Shacham, Numerical solution of constrained nonlinear algebraic equations. International Journal for Numerical Methods in Engineering, Vol.23, 1986, pp.1455-1481. Problem 1, pp.1463. (Fortran 77)

des.for

Distribution of electrons on a sphere. R. Vanderbei, Nonlinear optimization models. http://www.sor.princeton.edu/~rvdb/ampl/nlmodels
Please see: A.S. Bondarenko, D.M., Bortz and J.J., More, COPS: Large scale nonlinearly constrained optimization problems, Preprint ANL/MCS-TM-237, Argonne National Laboratory, September 1998, (October 1999 revision) pp.5-6. (Fortran 77)

fp3-3.for

C.A., Floudas, P.M., Pardalos, A collection of test problems for constrained global optimization algorithms. Springer-Verlag, Berlin, 1990. Lecture Notes in Computer Science, vol.455. (Problem 3.3.1, pp.23-24. Minimization of a concave quadratic function subject to linear and quadratic constraints) (Fortran 77)

fp5-2.for

C.A., Floudas, P.M., Pardalos, A collection of test problems for constrained global optimization algorithms. Springer-Verlag, Berlin, 1990. Lecture Notes in Computer Science, vol.455. (Problem 5.2.1, pp.37-39. Test problem 1: Propane, Isobutane, n-Butane Nonsharp Separation.) (Fortran 77)

fp5-3.for

C.A., Floudas, P.M., Pardalos, A collection of test problems for constrained global optimization algorithms. Springer-Verlag, Berlin, 1990. Lecture Notes in Computer Science, vol.455. (Problem 5.3.1, pp.41-46. Test problem 2: Propane, Isobutane, n-Butane, Isopentane Separation.) (Fortran 77)

fp5-4.for

C.A., Floudas, P.M., Pardalos, A collection of test problems for constrained global optimization algorithms. Springer-Verlag, Berlin, 1990. Lecture Notes in Computer Science, vol.455. (Problem 5.4.1, pp.47-49. Test problem 3: Blending/Pooling/Separation.) (Fortran 77)

fp62a.for

C.A., Floudas, P.M., Pardalos, A collection of test problems for constrained global optimization algorithms. Springer-Verlag, Berlin, 1990. Lecture Notes in Computer Science, vol.455. (Problem 6.2.1, pp.59. Test problem 1: Haverly's Pooling Problem - Case I.) (Fortran 77)

fp62c.for

C.A., Floudas, P.M., Pardalos, A collection of test problems for constrained global optimization algorithms. Springer-Verlag, Berlin, 1990. Lecture Notes in Computer Science, vol.455. (Problem 6.4.1, pp.61. Test problem 3: Haverly's Pooling Problem - Case III.) (Fortran 77)

fp62d.for

C.A., Floudas, P.M., Pardalos, A collection of test problems for constrained global optimization algorithms. Springer-Verlag, Berlin, 1990. Lecture Notes in Computer Science, vol.455. (Problem 6.4.1, pp.61. Test problem 3: Haverly's Pooling Problem - Case IV. A new variant with another objective function.) (Fortran 77)

fv1.for

C.A., Floudas, V. Visweswaran, Quadratic Optimization, In Handbook of Global Optimization. R. Horst and P.M. Pardalos (Eds.) Kluwer Academic Publishers, 1994, pp. 217-270. (IC circuit layout and compaction, pages 40-41) (Fortran 77)

fv2.for

C.A., Floudas, V. Visweswaran, Quadratic Optimization, In Handbook of Global Optimization. R. Horst and P.M. Pardalos (Eds.) Kluwer Academic Publishers, 1994, pp. 217-270. (Robust stability of linear systems, pages 41-43) (Fortran 77)

hang.for

Hanging Chain. A.S. Bondarenko, D.M., Bortz and J.J., More, COPS: Large scale nonlinearly constrained optimization problems, Preprint ANL/MCS-TM-237, Argonne National Laboratory, September 1998, (October 1999 revision) pp.10-11.(Robust stability of linear systems, pages 41-43) (Problem suggested by H. Mittelmann.) (Fortran 77)

hhd.for

The Human Heart Dipole. B.M., Averick, R.G., Carter, J.J., Moré, The MINPACK-2 test problem collection. Technical Memorandum No.150, Argonne National Laboratory, Argonne, Illinois, May 1991, pp.7. (Fortran 77)

hs80.for

Problem 80, Page 100. W. Hock and K. Schittkowski, Test Examples for Nonlinear Programming Codes. Springer-Verlag, 1981. Lecture Notes in Economics and Mathematical Systems, vol. 187. (Fortran 77)

hs81.for

Problem 81, Page 101. W. Hock and K. Schittkowski, Test Examples for Nonlinear Programming Codes. Springer-Verlag, 1981. Lecture Notes in Economics and Mathematical Systems, vol. 187. (Fortran 77)

hs83.for

Problem 83, Page 102. W. Hock and K. Schittkowski, Test Examples for Nonlinear Programming Codes. Springer-Verlag, 1981. Lecture Notes in Economics and Mathematical Systems, vol. 187. (Fortran 77)

hs95.for

Problem 95, Page 109. W. Hock and K. Schittkowski, Test Examples for Nonlinear Programming Codes.Springer-Verlag, 1981. Lecture Notes in Economics and Mathematical Systems, vol. 187. (Fortran 77)

hs96.for

Problem 96, Page 109. W. Hock and K. Schittkowski, Test Examples for Nonlinear Programming Codes. Springer-Verlag, 1981. Lecture Notes in Economics and Mathematical Systems, vol. 187. (Fortran 77)

hs97.for

Problem 97, Page 109. W. Hock and K. Schittkowski, Test Examples for Nonlinear Programming Codes. Springer-Verlag, 1981. Lecture Notes in Economics and Mathematical Systems, vol. 187. (Fortran 77)

hs98.for

Problem 98, Page 109. W. Hock and K. Schittkowski, Test Examples for Nonlinear Programming Codes.Springer-Verlag, 1981. Lecture Notes in Economics and Mathematical Systems, vol. 187. (Fortran 77)

hs100.for

Problem 100, Page 111. W. Hock and K. Schittkowski, Test Examples for Nonlinear Programming Codes.Springer-Verlag, 1981. Lecture Notes in Economics and Mathematical Systems, vol. 187. (Fortran 77)

hs106.for

Problem 106, Page 115. Heat exchanger design. W. Hock and K. Schittkowski, Test Examples for Nonlinear Programming Codes. Springer-Verlag, 1981. Lecture Notes in Economics and Mathematical Systems, vol. 187. (Fortran 77)

hs108.for

Problem 108, Page 117. W. Hock and K. Schittkowski, Test Examples for Nonlinear Programming Codes. Springer-Verlag, 1981. Lecture Notes in Economics and Mathematical Systems, vol. 187. (Fortran 77)

hs112.for

Problem 112, Page 121. Chemical Equlibrium problem. W. Hock and K. Schittkowski, Test Examples for Nonlinear Programming Codes. Springer-Verlag, 1981. Lecture Notes in Economics and Mathematical Systems, vol. 187. (Fortran 77)

hs113.for

Problem 113, Page 122. Chemical Equlibrium problem. W. Hock and K. Schittkowski, Test Examples for Nonlinear Programming Codes. Springer-Verlag, 1981. Lecture Notes in Economics and Mathematical Systems, vol. 187. (Fortran 77)

lowe.for

Design of an electrical circuit. M. Lowe, Nonlinear Programming: Augmented Lagrangian Techniques for Constrained Minimization. Ph. D. Thesis, Montana Univ. (Fortran 77)

msp3.for

Problem 116, Page 124. 3-stage membrane separation. W. Hock and K. Schittkowski, Test Examples for Nonlinear Programming Codes. Springer-Verlag, 1981. Lecture Notes in Economics and Mathematical Systems, vol. 187. (Fortran 77)
Please see also: Ron S. Dembo, A set of geometric programming test problems and their solutions. Mathematical Programming, vol. 10, 1976, pp.206-208.

msp5.for

5-stage membrane separation. Ron S. Dembo, A set of geometric programming test problems and their solutions. Mathematical Programming, vol. 10, 1976, pp.208-211. (Fortran 77)

pib.for

Problem P1. L. Pibouleau, P., Floquet, S., Domenech, Optimisation de procedes chimiques par une methode de gradient reduit. Partie II. Exemples d'illustration. Comparaison avec d'autres methodes. RAIRO Recherche Operationnelle, vol.19, no.4, 1985, pp.325 (Fortran 77)

polygon.for

Largest small polygon. A.S. Bondarenko, D.M., Bortz and J.J., More, COPS: Large scale nonlinearly constrained optimization problems, Preprint ANL/MCS-TM-237, Argonne National Laboratory, September 1998, (October, 1999 revision) pp.3-4. (Fortran 77)

pool.for

Andrei's Pooling Problem. A pooling problem. This problem has been created during my visit to Bonner & Moore Associated GmbH, Wiesbaden, Germany, as a result of a technical discussion with Dr. Ronald Coxhead. (December, 1996) (Fortran 77)
Please see also: Neculai Andrei, Advanced Mathematical Programming, Theory, Computational Methods, Applications. Technical Press, Bucharest, 1999. Romania. Chapter 31, pp.808.

prob10.for

Hansen Problem. Chemical Mixing Problem. (Fortran 77)

prop.for

Combustion of Propane. B.M., Averick, R.G., Carter, J.J., Moré, The MINPACK-2 test problem collection. Technical Memorandum No.150, Argonne National Laboratory, Argonne, Illinois, May 1991, pp.8. (Fortran 77)

propls.for

Combustion of Propane. A least squares approach. B.M., Averick, R.G., Carter, J.J., Moré, The MINPACK-2 test problem collection. Technical Memorandum No.150, Argonne National Laboratory, Argonne, Illinois, May 1991, pp.8. (Fortran 77)
The original problem is to solve an algebraic system of 11 nonlinear equations with 11 unknowns. In this problem least squares approach is considered, i.e. to minimize the summ of squares of all equations. Additionally the nonnegativity of variables is introduced in order to avoid the numerical problems with sqrt(.) function. In the example PROP (please see SPENPROB collection) the problem is to minimize a constant function subject to 11 nonlinear equality constraints. SPENBAR package gives the same solution.

propr.for

Combustion of Propane. Reduced Formulation. B.M., Averick, R.G., Carter, J.J., Moré, The MINPACK-2 test problem collection. Technical Memorandum No.150, Argonne National Laboratory, Argonne, Illinois, May 1991, pp.9. (Fortran 77)

proprls.for

Combustion of Propane. Reduced Formulation. A least squares approach. B.M., Averick, R.G., Carter, J.J., Moré, The MINPACK-2 test problem collection. Technical Memorandum No.150, Argonne National Laboratory, Argonne, Illinois, May 1991, pp.9. (Fortran 77)
The original (reduced) problem is to solve an algebraic system of 5 nonlinear equations with 5 unknowns. In this program a least squares approach is considered, i.e. to minimize the summ of squares of all equations. Additionally the nonnegativity of variables is introduced. In the example PROPR (please see SPENPROB collection) the problem is to minimize a constant function subject to 5 nonlinear equality constraints. SPENBAR package gives the same solution.

s230.for

Problem 230, Page 54. K. Schittkowski, More test examples for nonlinear programming codes. Springer Verlag, 1987. Lecture Notes in Economics and Mathematical Systems, vol. 282. (Fortran 77)

s329.for

Problem 329, Page 150. K. Schittkowski, More test examples for nonlinear programming codes. Springer Verlag, 1987. Lecture Notes in Economics and Mathematical Systems, vol. 282. (Fortran 77)

s338.for

Problem 338, Page 159. K. Schittkowski, More test examples for nonlinear programming codes. Springer Verlag, 1987. Lecture Notes in Economics and Mathematical Systems, vol. 282. (Fortran 77)

s346.for

Problem 346, Page 167. Design of a disc flywheel. K. Schittkowski, More test examples for nonlinear programming codes. Springer Verlag, 1987. Lecture Notes in Economics and Mathematical Systems, vol. 282. (Fortran 77)

s376.for

Problem 376, Page 195. Optimization of a multi-spindle automatic lathe. K. Schittkowski, More test examples for nonlinear programming codes. Springer Verlag, 1987. Lecture Notes in Economics and Mathematical Systems, vol. 282. (Fortran 77)

sps.for

Problem 107, Page 116. Static Power Scheduling . W. Hock and K. Schittkowski, Test Examples for Nonlinear Programming Codes.Springer-Verlag, 1981. Lecture Notes in Economics and Mathematical Systems, vol. 187 (Fortran 77)

trafo.for

Problem 93, Page 108. Design of an electric transformer. W. Hock and K. Schittkowski, Test Examples for Nonlinear Programming Codes.Springer-Verlag, 1981. Lecture Notes in Economics and Mathematical Systems, vol. 187 (Fortran 77)

Algebraic Modeling Languages

Summary of available software for sparse direct methods

rfpp.for

Fortran subroutines for PFI with a preassigned pivot procedure computation:
-determine a permutation of rows and columns of the matrix to "bump-and-spike" structure,
-compute the "eta-vectors" of the matrix permuted to "bump-and-spike" form,
-froward transformation of RHS term,
-backward transformation of RHS term,
-insitu permuation of a vector,
-compress the arrays with the matrix.

sys.dat

Input file with some examples.

lutot.for

Solving linear algebraic systems by LU factorization of sparse matrices. (Fortran 77)

lu.doc

Technical Report No. 2/1995.
Package for Solving Large-Scale Linear Algebraic Systems with LU Factorization and Markowitz Procedure for Pivots Selection.

lutot5.for

A tridiagonal system (n=100)

lutot6.for

Another tridiagonal system (n=100)

lutot7.for

Wilkinson example. Data for this system are in sys.txt

lutot9.for

Linear algebraic system with Hilbert matrix

lutot10.for

Random generated matrix (n=100 and n=1000)

lutot11.for

Pentha-diagonal system

lutot12.for

Random generated matrix (n=1000)

lutot13.for

HB/lund_b system (n=147, nz=1294). Data for this system are in mm1.txt

lutot14.for

HB/1138_bus system (n=1138, nz=2596). Data for this system are in hb-1138-bus.txt

lutot15.for

GH-1484 system. University of Florida Sparse Matrix Collection (n=1484, nz=6110) . Data for this system are in gh1484.txt

btall.for

Block Triangularization of a large-scale sparse matrix. (Fortran 77)

fibo.for

Fibonacci method for one-dimensional function minimization. (Fortran 77)

fibo.pdf

Technical Report on Fibonacci method for one-dimensional function minimization.

maxfun.for

Powell direct search method. (Fortran 77)

maxfun.pdf

Technical Report on Powell direct search method.

zero.for

A simple algorithm for computing of a zero of a nonlinear

function of a variable in a given interval [a,b].

zeros.for

A simple algorithm for computing all zeros of a nonlinear

function of a variable in a given interval [a,b].

Technical Report with the List of Software on chapters

 

Neculai Andrei,  November, 2020